开脱
发表于 2025-3-21 19:34:18
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Cirrhosis
发表于 2025-3-22 00:14:15
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Dungeon
发表于 2025-3-22 02:01:21
Some Convexity and Subadditivity Properties of Entropy as much a part of mathematics as of physics. The fields of information theory and ergodic theory had their genesis in statistical mechanical modes of thought and are now well established in the mathematics literature; there will be more to come.
加入
发表于 2025-3-22 06:35:44
Two Theorems on the Hubbard Modelin the |.| = |.| case and yields, with | . | ≠ | .|, the first provable example of itinerant-electron ferromagnetism. The theorems hold in all dimensions without even the necessity of a periodic lattice structure.
Apraxia
发表于 2025-3-22 11:40:49
well as in physics. His results are collected in this book which should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.978-3-642-62758-3978-3-642-55925-9
Peristalsis
发表于 2025-3-22 14:13:10
A Fundamental Property of Quantum-Mechanical Entropya) .(.) =- .. lnp (classical continuous), (1b) .)= .. Inp. (classical discrete), (1c) where Tr means trace, p is a density matrix in (1a), and . is a distribution function (usually on ..) in (1b). In (1c) the .. are discrete energy level probabilities.
Antagonist
发表于 2025-3-22 18:14:31
Magnetic Properties of Some Itinerant-Electron Systems at , > 0on a new formulation in terms of path integrals that holds in any dimension; another of its applications is that the Nagaoka-Thouless theorem on the Hubbard model also extends to . > 0 in the sense that .(ß,. ) ...(ß,. ).
组成
发表于 2025-3-22 23:53:24
Book 2002hich should become a standard source for further research. Together with the mathematical proofs the author also presents numerous applications to the calculus of variations and to many problems of quantum physics, in particular to atomic physics.
LAP
发表于 2025-3-23 03:23:38
literature and hard to find.Includes supplementary material:Inequalities play a fundamental role in Functional Analysis and it is widely recognized that finding them, especially sharp estimates, is an art. E. H. Lieb has discovered a host of inequalities that are enormously useful in mathematics as
表状态
发表于 2025-3-23 07:08:13
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