Lectures on the Mathematics of Quantum Mechanics I by Gianfausto Dell'Antonio in pdf

 Lectures on the Mathematics of Quantum Mechanics I by Gianfausto Dell'Antonio in pdf

this is the book Lectures on the Mathematics of Quantum Mechanics I in pdf written  by Gianfausto Dell'Antonio published by springer.2015 of professors of  science faculties  universities  .

   

Information about the book

Language of the book: English language

Book Title: Lectures on the Mathematics of Quantum Mechanics I

Scriptwriter: by Gianfausto Dell'Antonio

Year of printing:  springer.2015

File Format:PDF

Number of chapters: 20 CHAPTER

Number of pages: 466 pages

File Size: 19,12 MB

Contents

Lecture 1: Elements of the History of Quantum Mechanics I

Lecture 2: Elements of the History of Quantum Mechanics II

Lecture 3: Axioms, States, Observables, Measurement, Difficulties

Lecture 4: Entanglement, Decoherence, Bell’s Inequalities, Alternative Theories

Lecture 5: Automorphisms; Quantum Dynamics; Theorems of Wigner, Kadison, Segal; Continuity and Generators

Lecture 6: Operators on Hilbert Spaces I; Basic Elements

Lecture 7: Quadratic Forms

Lecture 8: Properties of Free Motion, Anholonomy, Geometric Phase

Lecture 9: Elements of 

-algebras, GNS Representation, Automorphisms and Dynamical Systems

Lecture 10: Derivations and Generators. K.M.S. Condition. Elements of Modular Structure. Standard Form

Lecture 11: Semigroups and Dissipations. Markov Approximation. Quantum Dynamical Semigroups I

Lecture 12: Positivity Preserving Contraction Semigroups on 

-algebras. Conditional Expectations. Complete Dissipations

Lecture 13: Weyl System, Weyl Algebra, Lifting Symplectic Maps. Magnetic Weyl Algebra

Lecture 14: A Theorem of Segal. Representations of Bargmann, Segal, Fock. Second Quantization. Other Quantizations (Deformation, Geometric)

Lecture 15: Semiclassical Limit; Coherent States; Metaplectic Group

Lecture 16: Semiclassical Approximation for Fast Oscillating Phases. Stationary Phase. W.K.B. Method. Semiclassical Quantization Rules

Lecture 17: Kato-Rellich Comparison Theorem. Rollnik and Stummel Classes. Essential Spectrum

Lecture 18: Weyl’s Criterium, Hydrogen and Helium Atoms

Lecture 19: Estimates of the Number of Bound States. The Feshbach Method

Lecture 20: Self-adjoint Extensions. Relation with Quadratic Forms. Laplacian on Metric Graphs. Boundary Triples. Point Interaction

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