Articles liés à Lectures on the Mathematics of Quantum Mechanics I

Lectures on the Mathematics of Quantum Mechanics I - Couverture rigide

Dell'Antonio, Gianfausto

 
9789462391178: Lectures on the Mathematics of Quantum Mechanics I

Synopsis

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).

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Autres éditions populaires du même titre

9789462391192: Lectures on the Mathematics of Quantum Mechanics I

Edition présentée

ISBN 10 :  946239119X ISBN 13 :  9789462391192
Editeur : Atlantis Press, 2015
Couverture souple