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Boson



 
 
In particle physics
Particle physics

Particle physics is a branch of physics that studies the elementary particle constituents of matter and radiation, and the interactions between them....
, bosons are particles
Subatomic particle

A subatomic particle is an elementary particle or composite particle particle smaller than an atom. Particle physics and nuclear physics are concerned with the study of these particles, their interactions, and non-atomic QCD matter....
 which obey Bose-Einstein statistics; they are named after Satyendra Nath Bose
Satyendra Nath Bose

Satyendra Nath Bose , Fellow of the Royal Society, was an Indian physicist from the state of West Bengal, specializing in mathematical physics....
 and Albert Einstein
Albert Einstein

Albert Einstein was a Germany-born theoretical physics. He is best known for his theory of relativity and specifically mass?energy equivalence, expressed by the equation E = mc2....
. In contrast to fermion
Fermion

In particle physics, fermions are subatomic particle which obey Fermi-Dirac statistics; they are named after Enrico Fermi. In contrast to bosons, which have Bose-Einstein statistics, only one fermion can occupy a quantum state at a given time; this is the Pauli Exclusion Principle....
s, which obey Fermi-Dirac statistics
Fermi-Dirac statistics

Fermi-Dirac statistics is a part of the science of physics, that applies to a system comprised of many particles that obey the Pauli Exclusion Principle....
, several bosons can occupy the same quantum state
Quantum state

In quantum physics, a quantum State is a mathematical object that fully describes a Quantum system. One typically imagines some experimental apparatus and procedure which "prepares" this quantum state; the mathematical object then reflects the setup of the apparatus....
. Thus, bosons with the same energy can occupy the same place in space. Therefore bosons are often force carrier
Force carrier

In particle physics, the quantum field theory called the Standard Model describes the strong interaction, weak nuclear force and electromagnetism fundamental forces....
 particles while fermions are usually associated with matter
Matter

In common usage, matter is anything that has both mass and volume . A more rigorous definition is used in science: matter is what atoms and molecules are made of....
, though the distinction between the two concepts is not clear cut in quantum physics.

Bosons may be either elementary
Elementary particle

In particle physics, an elementary particle or fundamental particle is a wiktionary:particle not known to have substructure; that is, it is not known to be made up of smaller particles....
, like the photon
Photon

In physics, the photon is an elementary particle, the quantum of the electromagnetic field and the basic unit of light and all other forms of electromagnetic radiation....
, or composite, like meson
Meson

In particle physics, mesons are subatomic particles composed of one quark and one antiquark. They are part of the hadron particle family ? particles made of quarks....
s.






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Encyclopedia


In particle physics
Particle physics

Particle physics is a branch of physics that studies the elementary particle constituents of matter and radiation, and the interactions between them....
, bosons are particles
Subatomic particle

A subatomic particle is an elementary particle or composite particle particle smaller than an atom. Particle physics and nuclear physics are concerned with the study of these particles, their interactions, and non-atomic QCD matter....
 which obey Bose-Einstein statistics; they are named after Satyendra Nath Bose
Satyendra Nath Bose

Satyendra Nath Bose , Fellow of the Royal Society, was an Indian physicist from the state of West Bengal, specializing in mathematical physics....
 and Albert Einstein
Albert Einstein

Albert Einstein was a Germany-born theoretical physics. He is best known for his theory of relativity and specifically mass?energy equivalence, expressed by the equation E = mc2....
. In contrast to fermion
Fermion

In particle physics, fermions are subatomic particle which obey Fermi-Dirac statistics; they are named after Enrico Fermi. In contrast to bosons, which have Bose-Einstein statistics, only one fermion can occupy a quantum state at a given time; this is the Pauli Exclusion Principle....
s, which obey Fermi-Dirac statistics
Fermi-Dirac statistics

Fermi-Dirac statistics is a part of the science of physics, that applies to a system comprised of many particles that obey the Pauli Exclusion Principle....
, several bosons can occupy the same quantum state
Quantum state

In quantum physics, a quantum State is a mathematical object that fully describes a Quantum system. One typically imagines some experimental apparatus and procedure which "prepares" this quantum state; the mathematical object then reflects the setup of the apparatus....
. Thus, bosons with the same energy can occupy the same place in space. Therefore bosons are often force carrier
Force carrier

In particle physics, the quantum field theory called the Standard Model describes the strong interaction, weak nuclear force and electromagnetism fundamental forces....
 particles while fermions are usually associated with matter
Matter

In common usage, matter is anything that has both mass and volume . A more rigorous definition is used in science: matter is what atoms and molecules are made of....
, though the distinction between the two concepts is not clear cut in quantum physics.

Bosons may be either elementary
Elementary particle

In particle physics, an elementary particle or fundamental particle is a wiktionary:particle not known to have substructure; that is, it is not known to be made up of smaller particles....
, like the photon
Photon

In physics, the photon is an elementary particle, the quantum of the electromagnetic field and the basic unit of light and all other forms of electromagnetic radiation....
, or composite, like meson
Meson

In particle physics, mesons are subatomic particles composed of one quark and one antiquark. They are part of the hadron particle family ? particles made of quarks....
s. All observed bosons have integer
Integer

The integers are natural numbers including 0 and their negative and non-negative numberss . They are numbers that can be written without a fractional or decimal component, and fall within the set ....
 spin
Spin (physics)

In quantum mechanics, spin is a fundamental property of atomic nucleus, hadrons, and elementary particles. For particles with non-zero spin, spin direction is an important intrinsic degrees of freedom ....
, as opposed to fermions, which have half-integer
Half-integer

In mathematics, a half-integer is a number of the form,where is an integer. For example,are all half-integers. Note that a half of an integer is not always a half-integer: half of an even integer is an integer but not a half-integer....
 spin. This is in accordance with the spin-statistics theorem
Spin-statistics theorem

In quantum mechanics, the spin-statistics theorem relates the spin of a particle to the particle statistics obeyed by it. The spin of a particle is its intrinsic angular momentum ....
 which states that in any reasonable relativistic quantum field theory
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
, particles with integer spin are bosons, while particles with half-integer spin are fermions.

While most bosons are composite particles, in the Standard Model
Standard Model

The Standard Model of particle physics is a theory of three of the four known fundamental interactions and the elementary particles that take part in these interactions....
, there are five bosons which are elementary:
  • the gauge boson
    Gauge boson

    In particle physics, gauge bosons are bosonic particles that act as carriers of the fundamental interactions of nature. More specifically, elementary particles whose interactions are described by gauge theory exert forces on each other by the exchange of gauge bosons, usually as virtual particles....
    s ( · · · );
  • the Higgs boson
    Higgs boson

    In particle physics, the Higgs boson is a massive Scalar field theory elementary particle predicted to exist by the Standard Model.The Higgs boson is the only Standard Model particle that has not yet been observed....
     .
Unlike the gauge bosons, the Higgs boson has not yet been observed experimentally.

Composite bosons are important in superfluidity and other applications of Bose-Einstein condensates.

Definition and basic properties


By definition, bosons are particles which obey Bose-Einstein statistics: when one swaps two bosons, the wavefunction
Wavefunction

A wave function or wavefunction is a mathematical tool used in quantum mechanics to describe any physical system. It is a function from a mathematical space that maps the possible states of the system into the complex numbers....
 of the system is unchanged. Fermions, on the other hand, obey Fermi-Dirac statistics
Fermi-Dirac statistics

Fermi-Dirac statistics is a part of the science of physics, that applies to a system comprised of many particles that obey the Pauli Exclusion Principle....
 and the Pauli exclusion principle
Pauli exclusion principle

The Pauli exclusion principle is a quantum mechanics principle formulated by Wolfgang Pauli in 1925. It states that no two identical particles fermions may occupy the same quantum state simultaneously....
: two fermions cannot occupy the same quantum state
Quantum state

In quantum physics, a quantum State is a mathematical object that fully describes a Quantum system. One typically imagines some experimental apparatus and procedure which "prepares" this quantum state; the mathematical object then reflects the setup of the apparatus....
 as each other, resulting in a "rigidity" or "stiffness" of matter which includes fermions. Thus fermions are sometimes said to be the constituents of matter
Matter

In common usage, matter is anything that has both mass and volume . A more rigorous definition is used in science: matter is what atoms and molecules are made of....
, while bosons are said to be the particles that transmit interactions (force carrier
Force carrier

In particle physics, the quantum field theory called the Standard Model describes the strong interaction, weak nuclear force and electromagnetism fundamental forces....
s), or the constituents of radiation
Radiation

In physics, radiation describes any process in which energy emitted by one body travels through a medium or through space, ultimately to be absorbed by another body....
. The quantum fields of bosons are bosonic field
Bosonic field

In quantum field theory, a bosonic field is a quantum field whose quanta are bosons; that is, they obey Bose-Einstein statistics. Bosonic fields obey canonical commutation relations, as distinct from the canonical anticommutation relations obeyed by fermionic fields....
s, obeying canonical commutation relation
Canonical commutation relation

In physics, the canonical commutation relation is the relation between canonical conjugate quantities , for example:between the position and momentum in the direction of a point particle in one dimension, where is the so-called commutator of and , is the imaginary unit and is the reduced Planck's constant ....
s.

The properties of lasers and masers, superfluid
Superfluid

Superfluidity is a phase or description of heat capacity in which unusual effects are observed when liquids, typically of helium-4 or helium-3, overcome friction by surface interaction when at a stage at which the liquid's viscosity becomes zero....
 helium-4
Helium

Helium is a colorless, odorless, tasteless, non-toxic, inert monatomic chemical element that heads the noble gas group in the periodic table and whose atomic number is 2....
 and Bose–Einstein condensate
Bose–Einstein condensate

A Bose?Einstein condensate is a state of matter of bosons confined in an external potential and cooled to temperatures very near to absolute zero ....
s are all consequences of statistics of bosons. Another result is that the spectrum of a photon gas in thermal equilibrium is a Planck spectrum, one example of which is black-body radiation; another is the thermal radiation of the opaque early Universe seen today as microwave background radiation. Interaction of virtual
Virtual particle

In physics, a virtual particle is a particle that exists for a limited time and space, introducing uncertainty in their energy and momentum due to the Heisenberg Uncertainty Principle....
 bosons with real fermions are called fundamental interaction
Fundamental interaction

In physics, a fundamental interaction or fundamental force is a process by which elementary particles interact with each other. An interaction is often described as a field , and is mediated by the exchange of gauge bosons between particles....
s, and these result in all force
Force

In physics, a force is that which can cause an object with mass to change its velocity. Force has both Euclidean_vector#Length of a vector and Direction , making it a Vector quantity....
s we know. The bosons involved in these interactions are called gauge bosons.

All known elementary and composite particles are bosons or fermions, depending on their spin
Spin (physics)

In quantum mechanics, spin is a fundamental property of atomic nucleus, hadrons, and elementary particles. For particles with non-zero spin, spin direction is an important intrinsic degrees of freedom ....
: particles with half-integer
Half-integer

In mathematics, a half-integer is a number of the form,where is an integer. For example,are all half-integers. Note that a half of an integer is not always a half-integer: half of an even integer is an integer but not a half-integer....
 spin are fermions; particles with integer
Integer

The integers are natural numbers including 0 and their negative and non-negative numberss . They are numbers that can be written without a fractional or decimal component, and fall within the set ....
 spin are bosons. In the framework of nonrelativistic quantum mechanics, this is a purely empirical observation. However, in relativistic quantum field theory
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
, the spin-statistics theorem
Spin-statistics theorem

In quantum mechanics, the spin-statistics theorem relates the spin of a particle to the particle statistics obeyed by it. The spin of a particle is its intrinsic angular momentum ....
 shows that half-integer spin particles cannot be bosons and integer spin particles cannot be fermions.

In large systems, the difference between bosonic and fermionic statistics is only apparent at large densities—when their wave functions overlap. At low densities, both types of statistics are well approximated by Maxwell-Boltzmann statistics, which is described by classical mechanics
Classical mechanics

Classical mechanics is used for describing the motion of macroscopic objects, from projectiles to parts of machinery, as well as astronomical objects, such as spacecraft, planets, stars, and galaxies....
.

Elementary bosons


All observed elementary particle
Elementary particle

In particle physics, an elementary particle or fundamental particle is a wiktionary:particle not known to have substructure; that is, it is not known to be made up of smaller particles....
s are either fermions or bosons. The observed elementary
Elementary particle

In particle physics, an elementary particle or fundamental particle is a wiktionary:particle not known to have substructure; that is, it is not known to be made up of smaller particles....
 bosons are all gauge boson
Gauge boson

In particle physics, gauge bosons are bosonic particles that act as carriers of the fundamental interactions of nature. More specifically, elementary particles whose interactions are described by gauge theory exert forces on each other by the exchange of gauge bosons, usually as virtual particles....
s: photon
Photon

In physics, the photon is an elementary particle, the quantum of the electromagnetic field and the basic unit of light and all other forms of electromagnetic radiation....
s, W and Z bosons
W and Z bosons

The W and Z bosons are the elementary particles that mediate the weak force. Their discovery has been heralded as a major success for the Standard Model of particle physics....
 and gluon
Gluon

Gluons are elementary particles that cause quarks to interact, and are indirectly responsible for the binding of protons and neutrons together in atomic nuclei....
s.
  • Photons are the force carrier
    Force carrier

    In particle physics, the quantum field theory called the Standard Model describes the strong interaction, weak nuclear force and electromagnetism fundamental forces....
    s of the electromagnetic field
    Electromagnetic field

    The electromagnetic field is a physical field produced by electric charge. It affects the behavior of charged objects in the vicinity of the field....
    .
  • W and Z bosons are the force carriers which mediate the weak nuclear force.
  • Gluons are the fundamental force carriers underlying the strong nuclear force.


In addition, the standard model postulates the existence of Higgs boson
Higgs boson

In particle physics, the Higgs boson is a massive Scalar field theory elementary particle predicted to exist by the Standard Model.The Higgs boson is the only Standard Model particle that has not yet been observed....
s, which give other particles their mass via the Higgs mechanism
Higgs mechanism

In quantum field theory, the Higgs mechanism is a way that the massless gauge bosons in a gauge theory get a mass by interacting with a background Higgs field....
.

Finally, many approaches to quantum gravity postulate a force carrier for gravity, the graviton
Graviton

In physics, the graviton is a hypothetical elementary particle that mediates the force of gravity in the framework of quantum field theory. If it exists, the graviton must be Mass in special relativity and must have a spin of 2 ....
, which is a boson of spin 2.

Composite bosons


Composite particles (such as hadron
Hadron

In particle physics, a hadron is a bound state of quarks. Hadrons are held together by the strong interaction, similarly to how molecules are held together by the electromagnetic force....
s, nuclei
Atomic nucleus

The nucleus of an atom is the very dense region, consisting of nucleons , at the center of an atom. Although the size of the nucleus varies considerably according to the mass of the atom, the size of the entire atom is comparatively constant....
, and atom
Atom

|-! bgcolor=gray | Properties|-||}The atom is a basic unit of matter consisting of a dense, central atomic nucleus surrounded by a electron cloud of electric charge electrons....
s) can be bosons or fermions depending on their constituents. More precisely, because of the relation between spin and statistics, a particle containing an even number of fermions is a boson, since it has integer
Integer

The integers are natural numbers including 0 and their negative and non-negative numberss . They are numbers that can be written without a fractional or decimal component, and fall within the set ....
 spin.

Examples include the following:
  • A meson
    Meson

    In particle physics, mesons are subatomic particles composed of one quark and one antiquark. They are part of the hadron particle family ? particles made of quarks....
     contains two fermionic quark
    Quark

    Quarks are a type of elementary particle and major constituents of matter. They are the only particles in the Standard Model to experience all four fundamental interaction, which are also known as fundamental interactions....
    s and is therefore a boson;
  • The nucleus
    Atomic nucleus

    The nucleus of an atom is the very dense region, consisting of nucleons , at the center of an atom. Although the size of the nucleus varies considerably according to the mass of the atom, the size of the entire atom is comparatively constant....
     of a carbon-12
    Carbon-12

    Carbon-12 is the most Abundance of the two Stable_isotope isotopes of the element carbon, accounting for 98.89% of carbon; it contains 6 protons, 6 neutrons, and 6 electrons....
     atom contains 6 protons and 6 neutrons (all fermions) and is therefore a boson;
  • The atom helium-4
    Helium-4

    Helium-4 is a non-radioactive and light isotope of helium. It is by far the most abundant of the two naturally occurring isotopes of helium, making up about 99.99986% of the helium on earth....
     (4He) is made of 2 protons, 2 neutrons and 2 electrons and is therefore a boson.


The number of bosons within a composite particle made up of simple particles bound with a potential has no effect on whether it is a boson or a fermion.

Fermionic or bosonic behavior of a composite particle (or system) is only seen at large (compared to size of the system) distance. At proximity, where spatial structure begins to be important, a composite particle (or system) behaves according to its constituent makeup. For example, two atoms of helium-4
Helium-4

Helium-4 is a non-radioactive and light isotope of helium. It is by far the most abundant of the two naturally occurring isotopes of helium, making up about 99.99986% of the helium on earth....
 cannot share the same space if it is comparable by size to the size of the inner structure of the helium atom itself (~10-10 m)—despite bosonic properties of the helium-4
Helium-4

Helium-4 is a non-radioactive and light isotope of helium. It is by far the most abundant of the two naturally occurring isotopes of helium, making up about 99.99986% of the helium on earth....
 atoms. Thus, liquid helium has finite density comparable to the density of ordinary liquid
Liquid

Liquid is one of the principal states of matter. A liquid is a fluid that has the particles loose and can freely form a distinct surface at the boundaries of its bulk material....
 matter.

See also


  • Bosonic field
    Bosonic field

    In quantum field theory, a bosonic field is a quantum field whose quanta are bosons; that is, they obey Bose-Einstein statistics. Bosonic fields obey canonical commutation relations, as distinct from the canonical anticommutation relations obeyed by fermionic fields....
  • Identical particles
    Identical particles

    Identical particles, or indistinguishable particles, are particles that cannot be distinguished from one another, even in principle. Species of identical particles include elementary particles such as electrons, as well as composite microscopic particles such as atoms and molecules....
  • Parastatistics
    Parastatistics

    In quantum mechanics and statistical mechanics, parastatistics is one of several alternatives to the better known particle statistics models . Other alternatives include anyonic statistics and braid statistics, both of these involving lower spacetime dimensions....
  • Anyon
    Anyon

    In mathematics and physics, an anyon is a type of particle that occurs only in two-dimensional systems. It is a generalization of the fermion and boson concept....
  • Bose gas
    Bose gas

    An ideal Bose gas is a quantum-mechanical version of a classical ideal gas. It is composed of bosons, which have an integer value of spin, and obey Bose-Einstein statistics....
  • Superfluid
    Superfluid

    Superfluidity is a phase or description of heat capacity in which unusual effects are observed when liquids, typically of helium-4 or helium-3, overcome friction by surface interaction when at a stage at which the liquid's viscosity becomes zero....