Conceptual Basis of Quantum Mechanics

✍ Scribed by Jan-Markus Schwindt

• Publisher: Springer International Publishing
• Year: 2015
• Tongue: English
• Leaves: 349
• Series: Undergraduate Lecture Notes in Physics
• Edition: 1
• Category: Library

✦ Synopsis

The book covers the content of a typical higher undergraduate course of the theory of Quantum Mechanics. The focus is on the general principles of quantum mechanics and the clarification of its terminology: What exactly is a Hilbert space? What is a hermitean operator? A tensor product? An entangled state? In what sense does a wave function constitute a vector? A separate chapter discusses the many open questions regarding the interpretation of the postulates.

✦ Table of Contents

Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Introduction: Nonlocal or Unreal?....Pages 3-8
Formalism I: Finite-Dimensional Hilbert Spaces....Pages 9-70
Formalism II: Infinite-Dimensional Hilbert Spaces....Pages 71-125
Interpretations....Pages 127-145
Front Matter....Pages 147-147
One-Dimensional Problems....Pages 149-170
Two-Dimensional Systems....Pages 171-180
Three-Dimensional Systems....Pages 181-213
Scattering Theory....Pages 215-229
Front Matter....Pages 231-231
Spin....Pages 233-252
Electromagnetic Interaction....Pages 253-266
Perturbation Theory....Pages 267-283
N-Particle Systems....Pages 285-299
Path Integral....Pages 301-305
Dirac Equation....Pages 307-312
Back Matter....Pages 313-348

✦ Subjects

Quantum Physics; Mathematical Applications in the Physical Sciences