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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Singer, Stephanie Frank (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York, 2005.
Σειρά:Undergraduate Texts in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.