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Bose–Einstein statistics

Index Bose–Einstein statistics

In quantum statistics, Bose–Einstein statistics (or more colloquially B–E statistics) is one of two possible ways in which a collection of non-interacting indistinguishable particles may occupy a set of available discrete energy states, at thermodynamic equilibrium. [1]

63 relations: ACM Transactions on Information Systems, Albert Einstein, Bangladesh, Binomial coefficient, Boltzmann constant, Bose–Einstein condensate, Bose–Einstein correlations, Boson, Canonical ensemble, Chemical potential, Darwin–Fowler method, Degenerate energy levels, Einstein solid, Energy, Energy level, Entropy, Fermi–Dirac statistics, Fermion, Geometric distribution, Geometric series, Grand canonical ensemble, Higgs boson, Identical particles, Information retrieval, Jean le Rond d'Alembert, Lagrange multiplier, Maxwell–Boltzmann statistics, Microstate (statistical mechanics), Multiset, New Delhi, Parastatistics, Particle, Particle statistics, Pauli exclusion principle, Philosophical Magazine, Photon, Physical Review Letters, Physics Reports, Planck's law, Poisson distribution, Presidencies and provinces of British India, Probability distribution, Quantum, Quantum concentration, Rayleigh–Jeans law, Satyendra Nath Bose, Second law of thermodynamics, Spin (physics), Stirling's approximation, Superconductivity, ..., Superfluid helium-4, Temperature, Thermal de Broglie wavelength, Thermal fluctuations, Thermodynamic activity, Thermodynamic equilibrium, Ultraviolet catastrophe, University of Dhaka, University of Oldenburg, Wave function, White dwarf, World Wide Web, Zeitschrift für Physik. Expand index (13 more) »

ACM Transactions on Information Systems

ACM Transactions on Information Systemsis a quarterly peer-reviewed scientific journal covering research on computer systems and their underlying technology.

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Albert Einstein

Albert Einstein (14 March 1879 – 18 April 1955) was a German-born theoretical physicist who developed the theory of relativity, one of the two pillars of modern physics (alongside quantum mechanics).

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Bangladesh

Bangladesh (বাংলাদেশ, lit. "The country of Bengal"), officially the People's Republic of Bangladesh (গণপ্রজাতন্ত্রী বাংলাদেশ), is a country in South Asia.

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Binomial coefficient

In mathematics, any of the positive integers that occurs as a coefficient in the binomial theorem is a binomial coefficient.

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Boltzmann constant

The Boltzmann constant, which is named after Ludwig Boltzmann, is a physical constant relating the average kinetic energy of particles in a gas with the temperature of the gas.

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Bose–Einstein condensate

A Bose–Einstein condensate (BEC) is a state of matter of a dilute gas of bosons cooled to temperatures very close to absolute zero.

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Bose–Einstein correlations

In physics, Bose–Einstein correlations are correlations between identical bosons.

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Boson

In quantum mechanics, a boson is a particle that follows Bose–Einstein statistics.

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Canonical ensemble

In statistical mechanics, a canonical ensemble is the statistical ensemble that represents the possible states of a mechanical system in thermal equilibrium with a heat bath at a fixed temperature.

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Chemical potential

In thermodynamics, chemical potential of a species is a form of energy that can be absorbed or released during a chemical reaction or phase transition due to a change of the particle number of the given species.

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Darwin–Fowler method

In statistical mechanics, the Darwin–Fowler method is used for deriving the distribution functions with mean probability.

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Degenerate energy levels

In quantum mechanics, an energy level is degenerate if it corresponds to two or more different measurable states of a quantum system.

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Einstein solid

The Einstein solid is a model of a solid based on two assumptions.

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Energy

In physics, energy is the quantitative property that must be transferred to an object in order to perform work on, or to heat, the object.

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Energy level

A quantum mechanical system or particle that is bound—that is, confined spatially—can only take on certain discrete values of energy.

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Entropy

In statistical mechanics, entropy is an extensive property of a thermodynamic system.

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Fermi–Dirac statistics

In quantum statistics, a branch of physics, Fermi–Dirac statistics describe a distribution of particles over energy states in systems consisting of many identical particles that obey the Pauli exclusion principle.

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Fermion

In particle physics, a fermion is a particle that follows Fermi–Dirac statistics.

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Geometric distribution

In probability theory and statistics, the geometric distribution is either of two discrete probability distributions.

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Geometric series

In mathematics, a geometric series is a series with a constant ratio between successive terms.

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Grand canonical ensemble

In statistical mechanics, a grand canonical ensemble is the statistical ensemble that is used to represent the possible states of a mechanical system of particles that are in thermodynamic equilibrium (thermal and chemical) with a reservoir.

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Higgs boson

The Higgs boson is an elementary particle in the Standard Model of particle physics.

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Identical particles

Identical particles, also called indistinguishable or indiscernible particles, are particles that cannot be distinguished from one another, even in principle.

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Information retrieval

Information retrieval (IR) is the activity of obtaining information system resources relevant to an information need from a collection of information resources.

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Jean le Rond d'Alembert

Jean-Baptiste le Rond d'Alembert (16 November 1717 – 29 October 1783) was a French mathematician, mechanician, physicist, philosopher, and music theorist.

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Lagrange multiplier

In mathematical optimization, the method of Lagrange multipliers (named after Joseph-Louis Lagrange) is a strategy for finding the local maxima and minima of a function subject to equality constraints (i.e., subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables).

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Maxwell–Boltzmann statistics

In statistical mechanics, Maxwell–Boltzmann statistics describes the average distribution of non-interacting material particles over various energy states in thermal equilibrium, and is applicable when the temperature is high enough or the particle density is low enough to render quantum effects negligible.

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Microstate (statistical mechanics)

In statistical mechanics, a microstate is a specific microscopic configuration of a thermodynamic system that the system may occupy with a certain probability in the course of its thermal fluctuations.

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Multiset

In mathematics, a multiset (aka bag or mset) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its elements.

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New Delhi

New Delhi is an urban district of Delhi which serves as the capital of India and seat of all three branches of Government of India.

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Parastatistics

In quantum mechanics and statistical mechanics, parastatistics is one of several alternatives to the better known particle statistics models (Bose–Einstein statistics, Fermi–Dirac statistics and Maxwell–Boltzmann statistics).

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Particle

In the physical sciences, a particle (or corpuscule in older texts) is a small localized object to which can be ascribed several physical or chemical properties such as volume, density or mass.

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Particle statistics

Particle statistics is a particular description of multiple particles in statistical mechanics.

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Pauli exclusion principle

The Pauli exclusion principle is the quantum mechanical principle which states that two or more identical fermions (particles with half-integer spin) cannot occupy the same quantum state within a quantum system simultaneously.

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Philosophical Magazine

The Philosophical Magazine is one of the oldest scientific journals published in English.

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Photon

The photon is a type of elementary particle, the quantum of the electromagnetic field including electromagnetic radiation such as light, and the force carrier for the electromagnetic force (even when static via virtual particles).

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Physical Review Letters

Physical Review Letters (PRL), established in 1958, is a peer-reviewed, scientific journal that is published 52 times per year by the American Physical Society.

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Physics Reports

Physics Reports is a peer-reviewed scientific journal, a review section of Physics Letters that has been published by Elsevier since 1971.

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Planck's law

Planck's law describes the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature T. The law is named after Max Planck, who proposed it in 1900.

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Poisson distribution

In probability theory and statistics, the Poisson distribution (in English often rendered), named after French mathematician Siméon Denis Poisson, is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant rate and independently of the time since the last event.

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Presidencies and provinces of British India

The Provinces of India, earlier Presidencies of British India and still earlier, Presidency towns, were the administrative divisions of British governance in the subcontinent.

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Probability distribution

In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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Quantum

In physics, a quantum (plural: quanta) is the minimum amount of any physical entity (physical property) involved in an interaction.

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Quantum concentration

The quantum concentration is the particle concentration (i.e. the number of particles per unit volume) of a system where the interparticle distance is equal to the thermal de Broglie wavelength.

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Rayleigh–Jeans law

In physics, the Rayleigh–Jeans Law is an approximation to the spectral radiance of electromagnetic radiation as a function of wavelength from a black body at a given temperature through classical arguments.

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Satyendra Nath Bose

Satyendra Nath Bose, (সত্যেন্দ্র নাথ বসু Sôtyendronath Bosu,; 1 January 1894 – 4 February 1974) was an Indian physicist specialising in theoretical physics.

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Second law of thermodynamics

The second law of thermodynamics states that the total entropy of an isolated system can never decrease over time.

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Spin (physics)

In quantum mechanics and particle physics, spin is an intrinsic form of angular momentum carried by elementary particles, composite particles (hadrons), and atomic nuclei.

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Stirling's approximation

In mathematics, Stirling's approximation (or Stirling's formula) is an approximation for factorials.

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Superconductivity

Superconductivity is a phenomenon of exactly zero electrical resistance and expulsion of magnetic flux fields occurring in certain materials, called superconductors, when cooled below a characteristic critical temperature.

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Superfluid helium-4

Superfluid helium-4 is the superfluid form of helium-4, an isotope of the element helium.

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Temperature

Temperature is a physical quantity expressing hot and cold.

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Thermal de Broglie wavelength

In physics, the thermal de Broglie wavelength (\lambda_) is roughly the average de Broglie wavelength of the gas particles in an ideal gas at the specified temperature.

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Thermal fluctuations

In statistical mechanics, thermal fluctuations are random deviations of a system from its average state, that occur in a system at equilibrium.

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Thermodynamic activity

In chemical thermodynamics, activity (symbol) is a measure of the "effective concentration" of a species in a mixture, in the sense that the species' chemical potential depends on the activity of a real solution in the same way that it would depend on concentration for an ideal solution.

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Thermodynamic equilibrium

Thermodynamic equilibrium is an axiomatic concept of thermodynamics.

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Ultraviolet catastrophe

The ultraviolet catastrophe, also called the Rayleigh–Jeans catastrophe, was the prediction of late 19th century/early 20th century classical physics that an ideal black body at thermal equilibrium will emit radiation in all frequency ranges, emitting more energy as the frequency increases.

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University of Dhaka

The University of Dhaka (ঢাকা বিশ্ববিদ্যালয়, also known as Dhaka University or simply DU) is the oldest university in modern Bangladesh.

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University of Oldenburg

The Carl von Ossietzky University of Oldenburg (Carl von Ossietzky Universität Oldenburg) is a university located in Oldenburg, Germany.

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Wave function

A wave function in quantum physics is a mathematical description of the quantum state of an isolated quantum system.

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White dwarf

A white dwarf, also called a degenerate dwarf, is a stellar core remnant composed mostly of electron-degenerate matter.

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World Wide Web

The World Wide Web (abbreviated WWW or the Web) is an information space where documents and other web resources are identified by Uniform Resource Locators (URLs), interlinked by hypertext links, and accessible via the Internet.

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Zeitschrift für Physik

Zeitschrift für Physik (English: Journal for physics) is a defunct series of German peer-reviewed German scientific journal of physics established in 1920 by Springer Berlin Heidelberg.

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References

[1] https://en.wikipedia.org/wiki/Bose–Einstein_statistics

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