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Bose-Einstein
Bose-Einstein Physics. (ˌbəʊzˈaɪnstaɪn) [The names of S. N. Bose (see boson) and Albert Einstein (1879–1955), German-born American physicist.] Bose-Einstein condensation, in a system of bosons, the existence of a proportion of the particles in a zero-energy state when the temperature is below a cert... Oxford English Dictionary
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Bose–Einstein
Bose–Einstein may refer to: Bose–Einstein condensate Bose–Einstein condensation (network theory) Bose–Einstein correlations Bose–Einstein statistics wikipedia.org
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Bose–Einstein condensate
In 2001 Cornell, Wieman and Ketterle shared the Nobel Prize in Physics "for the achievement of Bose-Einstein condensation in dilute gases of alkali atoms See also Atom laser Atomic coherence Bose–Einstein correlations Bose–Einstein condensation: a network theory approach Bose–Einstein condensation wikipedia.org
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Lagrange multipliers for Bose-Einstein distribution > We have $$ W = \prod_{s=1}^N \frac{(g_s-1+n_s)!}{(g_s-1)!n_s!} $$ For $ g_s,n_s>>1 $. We also have the constraints $$ \sum_{s=1}^Nn_s = n \hspace{10mm} \sum_{s=1}^...
As $g_s,n_s>>1$, we have $$W = \prod_{s=1}^N \frac{(g_s-1+n_s)!}{(g_s-1)!n_s!}\approx\prod_{s=1}^N \frac{(g_s+n_s)!}{g_s!n_s!}$$ Using Stirling's approximation will then result in $$\ln{W} = \sum_{s=1}^N\left[(g_s+n_s)\ln{(g_s+n_s)} -g_s\ln{(g_s-1) -n_s\ln{n_s}}\right]$$ Consider the Lagrangian (whe...
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Bose–Einstein condensation of polaritons
They therefore act like atoms which can approach equilibrium due to their collisions with each other, and can undergo Bose-Einstein condensation (BEC) See also Bose-Einstein condensation of quasiparticles References Further reading Universal Themes of Bose-Einstein Condensation, published by Cambridge wikipedia.org
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Bose–Einstein condensation of quasiparticles
Some have integer spins and can be expected to obey Bose–Einstein statistics like traditional particles. See also Bose–Einstein condensate Bose-Einstein condensation of polaritons Important publications References Bose–Einstein condensates Quasiparticles wikipedia.org
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Books on random permutations I'm looking for books or introductory/expository articles about random permutations, in particular with regards to their cycle structure. EDIT: I forgot to mention that I'm especially int...
"Logarithmic Combinatorial Structures: A Probabilistic Approach" by Arratia, Tavaré and Barbour. European Mathematical Society (2003) ADDITIONAL SUGGESTIONS WILL BE GLADLY ACCEPTED
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Bose–Einstein correlations
As the names suggest Bose–Einstein correlations and Bose–Einstein condensation are both consequences of Bose–Einstein statistics, and thus applicable not Notes References Bose–Einstein statistics Albert Einstein Satyendra Nath Bose wikipedia.org
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Bose–Einstein statistics
Particles that follow Bose-Einstein statistics are called bosons, which have integer values of spin. See also Bose–Einstein correlations Bose–Einstein condensate Bose gas Einstein solid Higgs boson Parastatistics Planck's law of black body radiation wikipedia.org
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Probability of Distribution of Apples Question. I have encountered this question which was actually assigned to a Biology class (the deadline has passed). It seemed simple at first but as more time passes by I realise...
Denote by $X$ the number of blemished apples in a box. Then $P(X < 4) = P(X = 0) + P(X=1)+P(X=2)+P(X=3)$ $=0.85^{10} + {10 \choose 1} 0.85^9 0.15 + {10 \choose 2} 0.85^80.15^2 + {10 \choose 3} 0.85^70.15^3 \approx 0.9500$
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Principal problems in Bose-Einstein condensation of dilute gases
提供Principal problems in Bose-Einstein condensation of dilute gases文档免费下载，摘要:Contents1.Introduction2.Condensationtemperature3.Condensateuctuations4.Condensategrowth5.Low-dimensionalcondensates6.Cro
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Studies on Dynamics of Bose-einstein Condensates in External Potentials ...
Studies on Dynamics of Bose-einstein Condensates in External Potentials（外势场中玻色-爱因斯坦凝聚体的动力学研究） | 王灯山 | download on Z-Library | Download books for free. Find books
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Fluctuation assisted collapses of Bose-Einstein condensates
Mar 25, 2022We study the collapse dynamics of a Bose-Einstein condensate subjected to a sudden change of the scattering length to a negative value by adopting the self-consistent Gaussian state theory for mixed states. Compared to the Gross-Pitaevskii and the Hartree-Fock-Bogoliubov approaches, both fluctuations and three-body loss are properly treated in ...
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Create odd function from arbitrary function I have a product of two arbitrary functions $f$ and $g$, $$y(x) = f(x)g(x)$$ and I want to make the product $y$ odd. I know $f$, e.g. it's a typical Lorentzian function $$f(...
Okay, so, of course there are _lots_ of options here. The simplest, but unsatisfying, would be to make $g$ be $\frac{1}{f(x)}x$, so that $y$ is just $x$. What that example demonstrates is that there's just _way_ too little information here to pin down one specific $g$. But one that might be more sat...
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玻色–爱因斯坦凝聚
这种大量具有玻色统计性质的粒子，如同原子“凝聚”到同一状态，称为玻色–爱因斯坦凝聚（Bose-Einstein condensation，BEC）。 参阅 盒中气体 玻色气体 外部链接 第一个玻色－爱因斯坦凝聚(1995年6月5日) Bose–Einstein Condensation 2009 Conference Bose–Einstein Condensation 2009 – Frontiers in Quantum Gases wikipedia.org
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