种子
发表于 2025-3-23 10:16:40
Geometric Approach to Classical Phases,Suppose that (., Ω) is a symplectic manifold and let . be a Lie group acting from the left on .by canonical transformations. That is, there is a mapping . such that for any . ∈ ., . defined by Φ. = Φ(., ·), is a canonical transformation:
Neutropenia
发表于 2025-3-23 14:02:06
https://doi.org/10.1007/978-3-540-75736-8unt dynamical effects but in the limit of infinitely slow changes. That is, the system is no longer static but its evolution is “infinitely slow.” A typical situation where one applies adiabatic ideas is when a physical system may be divided into two subsystems with completely different time scales: a so-called . and ..
吵闹
发表于 2025-3-23 19:41:50
Adiabatic Phases in Quantum Mechanics,unt dynamical effects but in the limit of infinitely slow changes. That is, the system is no longer static but its evolution is “infinitely slow.” A typical situation where one applies adiabatic ideas is when a physical system may be divided into two subsystems with completely different time scales: a so-called . and ..
hieroglyphic
发表于 2025-3-24 00:47:49
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农学
发表于 2025-3-24 06:18:17
https://doi.org/10.1007/978-0-8176-8176-0Chern class; Homotopy; Matrix; classical mechanics; classical/quantum mechanics; differential geometry; ho
克制
发表于 2025-3-24 09:27:07
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巧思
发表于 2025-3-24 12:01:39
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Prologue
发表于 2025-3-24 18:53:06
Mathematical Background,ctory chapter is to provide a background of some basic notions of classical differential geometry and topology. Classical differential geometry is now a well established tool in modern theoretical physics. Many classical theories like mechanics, electrodynamics, Einstein’s General Relativity or Yang
Gyrate
发表于 2025-3-24 21:49:01
Adiabatic Phases in Quantum Mechanics,unt dynamical effects but in the limit of infinitely slow changes. That is, the system is no longer static but its evolution is “infinitely slow.” A typical situation where one applies adiabatic ideas is when a physical system may be divided into two subsystems with completely different time scales:
Conduit
发表于 2025-3-25 03:03:42
Geometry of Quantum Evolution,d in terms of symplectic geometry, and the quantum one in terms of algebraic objects related to a complex Hilbert space. However, it turns out that standard, nonrelativistic quantum mechanics possesses natural geometric structure that is even richer than that found in classical mechanics. This secti