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Lectures on the mathematics of quantum mechanics II : selected topics

Author: G F Dell'Antonio
Publisher: Paris : Atlantis Press, 2016.
Series: Atlantis studies in mathematical physics, volume 2
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(OCoLC)902766920
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: G F Dell'Antonio
ISBN: 9789462391154 9462391157
OCLC Number: 951088605
Description: 1 online resource (xix, 381 pages).
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.
Series Title: Atlantis studies in mathematical physics, volume 2
Responsibility: Gianfausto Dell'Antonio.

Abstract:

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  Read more...

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