Satyendra Nath Bose

Satyendra Nath Bose (1894 – 1974) was a Bengali Indian physicist who specialized in mathematical physics. Bosons, the class of particles that obey Bose–Einstein Statistics, were named after him by Paul Dirac. Bose is best known for his work on quantum mechanics in the 1920s, which created the foundation for Bose–Einstein Statistics. While presenting a university lecture on the theory of radiation and the ultraviolet catastrophe, Bose intended to explain that the contemporary theory was inadequate, because it the results the theory predicted differed from the observed experimental results. In the process of describing this discrepancy, Bose took the position that the Maxwell–Boltzmann distribution would not hold true for microscopic particles, where fluctuations due to Heisenberg's uncertainty principle would have significant effects.

Essentially, Bose realized that the discrepancy had to do with the way these particles behaved at such a minuscule scale. Bose recognized that a collection of identical and indistinguishable particles can be distributed differently and wrote a paper in which he derived Planck's quantum radiation law without referencing classical physics. Bose sent his paper to Albert Einstein with a letter asking for his opinion and help in publishing the findings. Einstein agreed with Bose, translated the paper into German, and had it published in under Bose's name, in 1924; hence “Bose-Einstein Statistics.” Einstein adopted the idea and extended it to atoms, which led to the prediction of the existence of the Bose–Einstein condensate, a dense collection of bosons in a unique state of matter, which was demonstrated to exist by experiment in 1995.

Two Types of Bosons:

Gauge Bosons are the force carriers for the fundamental forces of nature. The Standard Model currently recognizes three kinds of gauge bosons: photons, which carry the electromagnetic force; gluons, which carry the strong force, and W and Z bosons, which carry the weak force. The fourth fundamental force— gravitation— is speculated to also be carried by a hypothetical gauge boson, dubbed the graviton.

Scalar Bosons are bosons whose spin equals zero. ‘Boson’ refers to particles with integer-valued spin; 'scalar' fixes this value to include zero as an 'integer'.The name “scalar boson”; arises from quantum field theory and is concept derived from transformation properties under Lorentz transformations; which essentially attempt to explain the apparent oddities and contradictions that can occur between two observers in space-time. There are various known existing composite particles (non-fundamental particles) that are scalar bosons- the alpha particle and the pi meson are two such examples- but the Higgs Boson is the only fundamental scalar boson ever recorded and the only one predicted to exist by the Standard Model.

Bosons

Bosons are force particles. All particles with integer (whole number) spin are considered to be bosons. This differentiates bosons from fermions (matter particles) which have half-integer spin. While fermions (leptons and quarks) are thought of as matter particles, bosons (gauge and scalar bosons) are force carriers that mediate the interactions between matter particles and hold matter together. All particles with integer (whole number) spin are considered bosons.

An important characteristic of bosons is that their statistics do not restrict the number of bosons that can occupy the same quantum state—In other words, they do not abide by the Pauli Exclusion principle. In contrast to fermions, which follow Fermi-Dirac statistics and the Pauli Exclusion Principle, bosons follow Bose–Einstein statistics, or, more colloquially- B–E statistics. B-E statistics describe how bosons behave collectively in large groups; because they do not abide by the Pauli exclusion principle, any number of identical bosons can occupy the same place. This property is exemplified in helium-4 when it is cooled to become a “Bose Einstein Condensate,” a unique form of superfluid matter.

Bose-Einstein Statistics: What is the Difference?

The reason that the statistics of classical physics fail to appropriately explain radiation and other phenomena where bosons are being examined in collective quantities, while Bose-Einstein Statistics produce accurate results that match experimental observations, is due to the fact that in collective quantities, individual bosons are indistinguishable from each other. They do not abide by the Pauli Exclusion Principle, meaning they can simultaneously occupy the same quantum state as other bosons; so one cannot treat any two bosons having equal energy as being two distinct identifiable particles.

Imagine flipping two coins in the universe we observe around us- what is the possibility of getting two heads? The possible combinations are: HH, HT, TH, TT, so there is a 1 in 4 (25%) chance of producing two heads. This is how the majority of what we observe in the everyday world works— in accordance with classical physics. But bosons violate the Pauli Exclusion Principle, meaning they can simultaneously occupy the same quantum state as other bosons; this means that two bosons occupying the same quantum state cannot be treated as two distinct particles— so if you visited an alternate universe were coins behaved not like fermions but like bosons, here you would observe HH, HT=TH, TT; In this universe HT and TH are one-in-the-same because the two coins are indistinguishable from one another, so here your probability of producing two heads is not 1 in 4, but rather 1 in 3 (33%). This is how Bose-Einstein Statistics are able to accurately reflect how bosons behave collectively.

Gauge Bosons

Gauge bosons are force carriers for the four fundamental forces of nature: electromagnetism, the strong force, the weak force, and gravitation*. Fermions that interact with the four fundamental forces of nature do so by exchanging gauge bosons. The Standard Model currently recognizes three kinds of gauge bosons: photons, which carry the electromagnetic force; gluons, which carry the strong force, and W and Z bosons, which carry the weak force. The fourth fundamental force— gravitation— is speculated to also be carried by a gauge boson, dubbed the graviton. In the absence of experimental evidence and a mathematically coherent theory of quantum gravity, it is unknown whether the graviton would be a gauge boson or not but it is typically hypothetically classified as a gauge boson.

*the force carrier for gravitation is hypothetical.

Scalar Boson

A scalar boson is a boson whose spin equals zero. ‘Boson’ refers to particles with integer-valued spin; 'scalar' fixes this value to include zero as an 'integer'.The name “scalar boson”; arises from quantum field theory and is a concept derived from transformation properties under Lorentz transformations; which essentially attempt to explain the apparent oddities and contradictions that can occur between two observers in space-time. These transformations account for the fact that observers moving at different velocities may measure different distances, elapsed times, and even different orderings of events. There is an interesting history to these concepts, but the basic point one really needs to know is that scalar bosons have zero spin.

There are various known existing composite particles (non-fundamental particles) that are scalar bosons- the alpha particle and the pi meson are two such examples- but until very recently, no instance of a fundamental spin-zero boson had been experimentally recorded. That all changed in March of 2013, upon the tentative confirmation that the Higgs Boson had in fact been discovered at the Large Hadron Collider. Predicted and incorporated into the Standard Model back in 60s, the Higgs Boson is currently the only fundamental scalar boson ever recorded and its discovery has proved a major victory in supporting the validity of the Standard Model.

Boson Family

Gauge Bosons

Scalar Boson

Photon

Gluon

There are 8 gluons in total—4 inverse pairs.

Gluons carry both color and anticolor charges between quarks, so the antiparticle of any gluon is simply another of the gluons. e.g. The antiparticle of the red-antiblue gluon is the blue-antired gluon.

Higgs Boson

Graviton*

W± and Z0 Bosons