Book on Classical and Quantum Mechanics

1. Sep 21, 2009

Reedeegi

Is there a mathematically rigorous book that covers both classical and quantum mechanics? If so, what is the book?

2. Sep 22, 2009

xepma

You're better off getting two seperate books.

3. Sep 22, 2009

Landau

Last edited by a moderator: Apr 24, 2017
4. Sep 23, 2009

Fredrik

Staff Emeritus
Ballentine is excellent, but it should be your third book on QM, not your first. Griffiths and Isham are good choices for the first two books. However, if you want want to see every relevant theorem stated and proved, you need to study some measure/integration theory and then functional analysis (e.g. Kreyszig or Sunder). After that, I suggest Strocchi.

5. Sep 23, 2009

Pinu7

How mathematically rigorous?

Classical Mechanics
Introductory: Mechanics: From Newton's Laws to Deterministic Chaos-Scheck
More advanced: Introduction to Mechanics and Symmetry- J.E. Marsden
Foundations of Mechanics- J.E. Marsden

Quantum Mechanics
Ballentine, as others mentioned
Introductory Quantum Mechanics-Liboff
Mathematical Foundations of Quantum Mechanics-Neumann

EDIT: Liboff is considered an introductory text but a much superior one than, let's say, Griffiths.

Last edited: Sep 23, 2009