Linearity, Symmetry, and Prediction in the Hydrogen Atom

This is a textbook for a senior-level undergraduate course for math, physics and chemistry majors. This one course can play two different but complimentary roles: it can serve as a capstone course for students finishing their education, and it can serve as motivating story for future study of mathem...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Singer, Stephanie Frank (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Undergraduate Texts in Mathematics,
Temas:
Atoms.
Molecules.
Elementary particles (Physics).
Quantum field theory.
Group theory.
Mathematical physics.
Mathematics.
Mechanics.
Atomic, Molecular and Chemical Physics.
Elementary Particles, Quantum Field Theory.
Group Theory and Generalizations.
Mathematical Methods in Physics.
Applications of Mathematics.
Classical Mechanics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Setting the Stage
  • Linear Algebra over the Complex Numbers
  • Complex Scalar Product Spaces (a.k.a. Hilbert Spaces)
  • Lie Groups and Lie Group Representations
  • New Representations from Old
  • Irreducible Representations and Invariant Integration
  • Representations and the Hydrogen Atom
  • The Algebra so(4) Symmetry of the Hydrogen Atom
  • The Group SO(4) Symmetry of the Hydrogen Atom
  • Projective Representations and Spin
  • Independent Events and Tensor Products.

Ejemplares similares