Cargando…

Discrete quantum mechanics /

After a quarter century of discoveries that rattled the foundations of classical mechanics and electrodynamics, the year 1926 saw the publication of two works intended to provide a theoretical structure to support new quantum explanations of the subatomic world. Heisenberg's matrix mechanics an...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Williams, H. Thomas (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2015]
Colección:IOP (Series). Release 2.
IOP concise physics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • 1. Postulates
  • 1.1. State space
  • 1.2. Time evolution
  • 1.3. Quantum measurement
  • 1.4. Composite systems
  • 1.5. The genie
  • 2. Two-state systems
  • 2.1. Schrödinger's cat
  • 2.2. Expectation value; energy operator
  • 2.3. Spin one-half
  • 2.4. Ammonia molecule
  • 2.5. Photons
  • 3. Entanglement
  • 3.1. Entangled qubit pairs
  • 3.2. Quantum gates
  • 3.3. Utilizing entanglement
  • 3.4. Large-scale quantum algorithms
  • 4. Quantum angular momentum
  • 4.1. Operators for orbital angular momentum
  • 4.2. Operators for spin one-half
  • 4.3. Generalized angular momentum theory
  • 4.4. Angular momentum addition
  • 4.5. Interaction operators
  • 4.6. Isospin
  • 4.7. And ...
  • 5. Quantum many-body problem
  • 5.1. The general case : Heisenberg XYZ spin chain
  • 5.2. Ising model
  • 5.3. Heisenberg XXX spin chain
  • 6. Infinity, and beyond
  • 6.1. Schrödinger equation
  • 6.2. Schrödinger equation in one dimension
  • 6.3. Schrödinger equation in three dimensions
  • 6.4. Defending the delta
  • Appendix A. Relevant results from linear algebra
  • Appendix B. Directory of definitions and notation.