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Lectures on the Mathematics of Quantum Mechanics I

Lectures on the Mathematics of Quantum Mechanics I

Gianfausto Dell’Antonio

168,54 €
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Editorial:
Springer Nature B.V.
Año de edición:
2015
Materia
Mecánica clásica
ISBN:
9789462391178

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Sobre IBD

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 andgenerators.- 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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Otros libros del autor

  • Lectures on the Mathematics of Quantum Mechanics II
    Gianfausto Dell’Antonio
    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 Operato...