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5 votes
3 answers
571 views

Quantum Mechanics in terms of *-algebras

I'm currently trying to find my way into the geometric description of Quantum Mechanics. I therefore started reading: Geometry of state spaces. In: Entanglement and Decoherence (A. Buchleitner et ...
0 votes
0 answers
63 views

Reference for mathematics of quantum mechanics with infinite degrees of freedom?

I am looking for a book, or lecture notes or even courses available on YouTube where there is a good and detailed discussion on the mathematical aspects of Quantum Mechanics with infinite degrees of ...
18 votes
5 answers
12k views

A book on quantum mechanics supported by the high-level mathematics

I'm interested in quantum mechanics book that uses high level mathematics (not only the usual functional analysis and the theory of generalised functions but the theory of pseudodifferential operators ...
0 votes
1 answer
71 views

Which book/s should I get before introducing myself to quantum mechanics? [duplicate]

I am in secondary school and have no prior knowledge of quantum mechanics except what it is about and I started gaining interest in the subject so I was wondering which book/s I should get so I will ...
0 votes
0 answers
37 views

What are the best quantum mechanic books that focus on the Dirac notation and linear algebra? [duplicate]

I have a little bit of a hard time following the Dirac notation and the mathematics that follow it. Are there any textbooks that focus on the math only?
1 vote
0 answers
74 views

What is a good book for learning quantum mechanics with mathematical derivations? [duplicate]

I know calculus (ODEs, PDEs, integration over 3 dimensions, limits, W, Zeta functions, series etc) and am working on linear algebra. What it the best book to learn quantum mechanics from with ...
36 votes
6 answers
97k views

What is the math knowledge necessary for starting Quantum Mechanics?

Could someone experienced in the field tell me what the minimal math knowledge one must obtain in order to grasp the introductory Quantum Mechanics book/course? I do have math knowledge but I must ...
1 vote
3 answers
433 views

Hilbert space and group theory: relationship between these two approaches to quantum mechanics, and references for a beginner?

I have read basic books on Quantum Mechanics like R. Shankar's "Introduction to Quantum Mechanics, Griffiths "Quantum Mechanics" and partly I followed Bransden "Atoms and Molecules". But none of the ...
1 vote
0 answers
414 views

Book recommendation on Quantum Mechanics which is a bit mathematically aligned and gives good introduction to Hilbert Space for beginners [duplicate]

I am a 4th-year undergraduate student and I have fully read R. Shankar's book on Quantum Mechanics and Griffiths book Quantum Mechanics. I have also done a bit of the Application of QM on ...
1 vote
0 answers
63 views

Recommended books for introduction to Quantum Mechanics for students who are mathematically aligned [duplicate]

I am a 4th-year undergraduate student and I have fully read R. Shankar's book on Quantum Mechanics and Griffiths book Quantum Mechanics. I have also done a bit of the Application of QM on ...
2 votes
3 answers
211 views

Trouble with Math in Physics [duplicate]

I am a current high school student and I am very interested in physics, especially particle physics (that stuff is super cool!). Unfortunately, my school only teaches classical physics, so I have to ...
2 votes
1 answer
2k views

Functional Analysis for Quantum Mechnanics [duplicate]

I have completed three sequences of courses in QM, and I'm very much eager to to do the functional analysis of QM on my own in my spare time. Can someone suggest some books? I like books with ...
1 vote
2 answers
309 views

Study material for quantum mechanics [duplicate]

I want to study quantum mechanics. But I don't know what and which topics of mathematics are required. I know a bit of differential calculus. But what else is needed to study a bit advanced quantum ...
1 vote
0 answers
200 views

Good book for learning about mathematical foundation of quantum physics [duplicate]

I've been trying to slog through Quantum Physics for Dummies, but can't even get past the first chapter. There's a lot of talk of Bras, Kets, and Hilbert spaces, but I feel I'm missing the ...
2 votes
7 answers
583 views

Book request for an abstract treatment of QM without using any particle formalism

I am an electronics and communication engineer, specializing in signal processing. I have some touch with the mathematics concerning communication systems and also with signal processing. I want to ...