Lectures on the Mathematics of Quantum Mechanics II: Selected Topics
The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered....
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| Format: | Electronic eBook |
| Language: | English |
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Paris :
Atlantis Press : Imprint: Atlantis Press,
2016.
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| Series: | Atlantis Studies in Mathematical Physics: Theory and Applications,
2 |
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| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Wigner functions Husimi distribution Semiclassical
- Pseudodiffential operators Calderon-Vaillantcourt
- Compact, Shatten-class Carleman operators
- Periodic potentials Theory of Bloch-Floquet-Zak
- Connection with the properties of a crystal
- Lie-Trotter-Kato formula Wiener process
- Elements of probability theory Sigma algebras
- Ornstein-Uhlenbeck process
- Modular Operator Tomita-Takesaki theory
- Scattering theory Time-dependent formalism
- Time independent formalisms Flux-across surfaces
- The method of Enss Propagation estimates
- The N-body Quantum System
- Positivity preserving maps
- Hypercontractivity. Logarithmic Sobolev inequalities
- Measure (gage) spaces. Clifford algebra, C.A.R. relations.
