Book on Classical and Quantum Mechanics

AI Thread Summary
The discussion centers on the search for a mathematically rigorous book that covers both classical and quantum mechanics. It suggests that it may be more beneficial to use separate texts for each subject. For quantum mechanics, recommended books include "Quantum Mechanics" by Ballentine, although it is advised to read it as a third book after Griffiths and Isham. For classical mechanics, "Mechanics: From Newton's Laws to Deterministic Chaos" by Scheck is recommended for beginners, while more advanced readers might consider "Introduction to Mechanics and Symmetry" and "Foundations of Mechanics" by J.E. Marsden. The conversation emphasizes the importance of understanding measure and integration theory, along with functional analysis, to grasp the mathematical rigor in these fields. Additionally, "Introductory Quantum Mechanics" by Liboff is noted as a superior introductory text compared to Griffiths.
Reedeegi
Messages
97
Reaction score
0
Is there a mathematically rigorous book that covers both classical and quantum mechanics? If so, what is the book?
 
Physics news on Phys.org
You're better off getting two separate books.
 
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.
 
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:

Thread '"WHAT IS A QUANTUM FIELD THEORY?" A First Introduction for Mathematicians'

The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
View full post »

Thread 'Books with a more theoretical approach to turbulence and DNS'

I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...
View full post »

Similar threads

Quantum Looking for upper division modern physics book
Replies
9
Views
2K
Quantum Finding the Perfect Self-Study Book for Intro Stats & Quantum Mechanics
Replies
17
Views
3K
Is "Quantum Mechanics Demystified" a good book for a beginner?
Replies
4
Views
4K
"Statistical Thermodynamics" book by Erwin Schrödinger
Replies
19
Views
2K
Looking for good books explaining Lagrangian and Hamiltonian Mechanics
Replies
28
Views
3K
Classical Looking for book about relativistic classical field theory
Replies
15
Views
4K
Books to read before Arnold's Classical Mechanics
Replies
5
Views
2K
Advice on Resources -- A really good classical mechanics book?
Replies
9
Views
3K
Classical Source recommendation on Differential Geometry
Replies
6
Views
3K
Quantum mechanics book recommendations
Replies
10
Views
684

Hot Threads

Recent Insights

Back
Top