All Questions
Tagged with quantum-mechanics reference-request
47
questions
3
votes
1
answer
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Is there a book on the purely mathematical version of perturbation theory?
Is there a book on the purely mathematical version of perturbation theory, or all current references just in relation to applied fields like statistics and quantum mechanics? I remember first coming ...
- 131
3
votes
0
answers
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views
The Mathematics of Quantum Mechanics? [duplicate]
I have asked this question in the physics.stackexchange.com forum too - sorry if that is a no-no; I feel it straddles the boundary between the two, and similar questions have been answered rather ...
- 1,524
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votes
3
answers
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Books on Perturbation Methods
I am having problems finding descent books on perturbation methods. I am looking for a book which covers; asymptotic expansions, matched Asymptotic expansions, Laplace's Method, Method of steepest ...
2
votes
0
answers
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Spectrum of $H = - \Delta + y^2 + a e^{b(x+y)}$.
Define the Hamiltonian
$$
H = - \Delta + y^2 + a e^{b(x+y)}\,,
$$
where $- \Delta = - \partial_x^2 - \partial_y^2$ and $a,b > 0$. I'm trying to determine the spectrum and/or generalized ...
- 2,949
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votes
5
answers
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Quantum mechanical books for mathematicians
I'm a mathematician. I have good knowledge of superior analysis, distribution theory, Hilbert spaces, Sobolev spaces, and applications to PDE theory. I also have good knowledge of differential ...
- 2,400
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votes
0
answers
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Looking for an introductory text to quantum physics
I'm looking for an introductory but mathematically rigorous introduction to quantum physics. Ideally, it would be written for someone with a great deal of mathematical sophistication but no great ...
user279406
1
vote
0
answers
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Reference request: "mathematical systems for probability"
This question is in response to an answer here on Physics.SE, but is essentially about math.
Consider the following quote from the linked-to answer above:
There are basically two kinds of ...
- 21.3k
9
votes
1
answer
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Complementary text for mathematical Quantum Mechanics lectures
I'm looking for a text to complement Frederic Schuller's lectures on QM. His approach is very mathematical -- in fact it looks like the first 12 of 21 lectures are just about the mathematical ...
- 2,730
3
votes
1
answer
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Introductory book on probability for physicists
I'm a physics student looking to start learning more about probability. Is there some introductory book on measure theoretical probability theory that includes sections on quantum probability? To ...
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votes
1
answer
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Baker Campbell Hausdorff formula for unbounded operators
Baker Campbell Hausdorff formula says that for elements $X,Y$ of a Lie algebra we have
$$e^Xe^Y=\exp(X+Y+\frac12[X,Y]+...),$$
which for $[X,Y]$ being central reduces to
$$e^Xe^Y=\exp(X+Y+\frac12[X,Y])....
- 121
3
votes
0
answers
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Covariance of nonlinear sde
My problem is to compute the covariance of the following Ito process
$$
dX_t=AX_t+\sum_{k=1}^{n}B_kX_tdW_k,
$$
where $A,B_k$ are nonlinear operators defined on a complex separable Hilbert space $H$.
...
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2
votes
2
answers
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Linear algebra references for a deeper understanding of quantum mechanics
I'm a graduate student studying quantum mechanics/quantum information and would like to consolidate my understanding of linear algebra. What are some good math
books for that purpose?
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3
votes
1
answer
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Books on random permutations
I'm looking for books or introductory/expository articles about random permutations, in particular with regards to their cycle structure.
EDIT: I forgot to mention that I'm especially interested in ...
- 11.6k
10
votes
1
answer
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Derivation of Schrödinger's equation
I recall a famous quote of the late physicist Richard Feynman:
Where did we get that from? It's not possible to derive it from anything you know. It came out of the mind of Schrödinger.
This quote ...
- 1,500
3
votes
2
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Book on periodic Schrödinger operators
I am looking for good books about the spectral theory of periodic (1-dimensional) Schrödinger operators on a compact interval.
A good reference I found was Reed/Simon Analysis of Operators (and a ...
user66906