Lectures on the Mathematics of Quantum Mechanics I [E-Book] / by Gianfausto Dell'Antonio.
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....
Saved in:
Full text |
|
Personal Name(s): | Dell'Antonio, Gianfausto, author |
Edition: |
1st ed. 2015. |
Imprint: |
Paris :
Atlantis Press :
2015
|
Physical Description: |
XXI, 459 pages (online resource) |
Note: |
englisch |
ISBN: |
9789462391185 |
DOI: |
10.2991/978-94-6239-118-5 |
Series Title: |
/* Depending on the record driver, $field may either be an array with
"name" and "number" keys or a flat string containing only the series
name. We should account for both cases to maximize compatibility. */?>
Atlantis Studies in Mathematical Physics: Theory and Applications ;
1 |
Subject (LOC): |
- Elements of the history of Quantum Mechanics I
- Elements of the history of Quantum Mechanics II
- Axioms, states, observables, measurement, difficulties
- Entanglement, decoherence, Bell's inequalities, alternative theories
- Automorphisms; Quantum dynamics; Theorems of Wigner, Kadison, Segal; Continuity and generators
- Operators on Hilbert spaces I; Basic elements
- Quadratic forms
- Properties of free motion, Anholonomy, Geometric phase
- Elements of C ∗-algebras, GNS representation, automorphisms and dynamical systems
- Derivations and generators. K.M.S. condition. Elements of modular structure. Standard form
- Semigroups and dissipations. Markov approximation
- Quantum dynamical semigroups I
- Positivity preserving contraction semigroups on C ∗-algebras
- Conditional expectations
- Complete Dissipations
- Weyl system, Weyl algebra, lifting symplectic maps
- Magnetic Weyl algebra
- A Theorem of Segal
- Representations of Bargmann, Segal, Fock
- Second quantization
- Other quantizations (deformation, geometric).