All Questions
Tagged with quantum-mechanics reference-request
47
questions
21
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7
answers
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Mathematics needed in the study of Quantum Physics
As a 12th grade student , I'm currently acquainted with single variable calculus, algebra, and geometry, obviously on a high school level. I tried taking a Quantum Physics course on coursera.com, but ...
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1
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0
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Short examples that are/are not quantum-ergodic
Are there any considerably short examples of manifolds that are/aren't quantum ergodic, or quantum unique ergodic?
Note that a (compact) Riemannian manifold is said to be quantum ergodic if almost ...
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10
votes
1
answer
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Category Theory and Quantum Mechanics
I am wondering if particle interactions in quantum theory can be modeled as a morphism between $2$ categories.
My reasoning is that since the states of particles are modeled as vectors in a Hilbert ...
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4
votes
1
answer
304
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Reference request for differential geometry/quantum chaos text
I'm looking for a differential-geometry based exposition of chaos theory and quantum chaos. Ideally, it would start with the Hamiltonian formalism (on symplectic manifolds) and discuss as many of the ...
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19
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2
answers
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Prerequisite for Takhtajan's "Quantum Mechanics for Mathematicians"
I want to know the math that is required to read Quantum Mechanics for Mathematicians by Takhtajan.
From the book preview on Google, I gather that algebra, topology, (differential) geometry and ...
- 199
8
votes
1
answer
349
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How to find interesting operators for a quantum system?
How can we find "interesting" operators for a quantum mechanical system?
I can think of the following method: Given some system with an associated Hilbert space $V$ and Hamiltonian $H:V\rightarrow V$,...
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2
votes
1
answer
589
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Functional analysis and Quantum Mechanics
I am presently doing a course on functional analysis. I have done courses on quantum mechanics before. I see that many functional analysis books have an ending chapter on quantum mechanics.
So are ...
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3
votes
0
answers
190
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The intuition behind a matrix of a Hamiltonian?
We have derived an elegant partition function for a problem which resembles a quantized model taking the particles to be Bosons. The related Hamiltonian for every $i$th ensemble is there:
$$H_i=\sum_{...
- 4,310
3
votes
4
answers
383
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Which book to read on quantum-related mathematics
Recently I watched the "Big Bang Theory" and decided to google about quantum mechanics. It really intrigued me. But I also understood that I am too stupid to understand even the basic mathematics in ...
- 1,313
2
votes
0
answers
495
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Is quantum game theory reducible to classical game theory? [closed]
Modnote: This question was manually migrated (closed and crossposted) to MathOverflow by request of the OP.
Quantum game theory is an extension of classical game theory to the quantum domain. It ...
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3
votes
2
answers
751
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Expectation value of pure state in quantum mechanics
It's well known that in quantum mechanics, the expectation value of a self-adojint operator $A$ in pure state $|\psi\rangle$ is $\langle\psi |A|\psi\rangle = \operatorname{Tr}(A |\psi \rangle \...
- 310
1
vote
0
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Three body problem with point interactions
I've studied the HVZ theorem for the three body problem interacting with regular potentials. I'd like to extend this result to the three body problem with point interactions (delta potentials).
Is ...
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2
votes
1
answer
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Translation of an article
I need to read this article
"On the spectrum of an energy operator for atoms with fixed nuclei in subspaces corresponding to irriducible representations of permutation groups"
authors:G.Zhislin, A. ...
- 71
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vote
0
answers
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References for three body problems with Fermi statistic
I'm studying the three body problem with two fermions of unitary mass and another different particle. I need references of the HVZ theorem in this case. Is there someone who knows them?
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12
votes
3
answers
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Studying quantum mechanics without physics background
I am a PhD math student, and I am wondering if I should study quantum mechanics while I don't have an undergrad background in physics.
I posted this question in physics stackexchange, but there doesn'...
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