Tagged Questions
0
votes
0answers
34 views
Quantum harmonic oscilator - book that does it all right [duplicate]
I am dealing with quantum harmonic oscillator.
In every single book or video i have checked out i can read how the mathematical technique for solving this Schrödinger equation:
$$
W\psi = - ...
1
vote
1answer
32 views
Name of a state with $d-1$ excitations, distributed uniformly among $n$ qudits
Is there a particular name for a quantum state of the form (up to the normalization):
$$\sum_{i_1+\ldots+i_n = d-1} |i_1\rangle |i_2\rangle \ldots |i_n\rangle$$
or was it studied is some papers?
...
4
votes
0answers
117 views
Question about the HVZ theorem
In this paper1 the authors cite the HVZ theorem2 saying that it follows from the method used by M. Reed & B. Simon without modifications; I don't really understand this point.
Is there anyone who ...
1
vote
1answer
154 views
What is the mathematical background needed for quantum physics? [duplicate]
I'm a computer scientist with a huge interest in mathematics. I have also recently started to develop some interest about quantum mechanics and quantum field theory. Assuming some knowledge in the ...
3
votes
1answer
192 views
Klein-Gordon inner product
Studying the scalar field and Klein-Gordon equation in quantum field theory I came across this definition for the inner product in the space of the solutions of the K.G. equation:
$\langle \Phi_1 | ...
2
votes
2answers
144 views
Reference request for the Aharonov-Bohm effect
I am looking for a good reference to an online source or book, on the magnetic Aharonov-Bohm effect. I have read the appropriate sections from the book by Griffiths and Ballentine, and still haven't ...
6
votes
1answer
290 views
What are the 't Hooft papers about classical models underlying QM?
Gerard 't Hooft states in his webpage
I have mathematically sound equations that show how classical models generate quantum mechanics.
and there are some interesting discussions here in ...
5
votes
1answer
255 views
Rigged Hilbert space and QM
Are there any comprehensive texts that discuss QM using the notion of rigged Hilbert spaces? It would be nice if there were a text that went through the standard QM examples using this structure.
2
votes
2answers
254 views
Quantum phyics project for a high schooler [duplicate]
Possible Duplicate:
Study Quantum Physics
I am a high schooler who is interested in physics and mathematics, and I have a kind of 'high-school thesis' coming up in a year and a half or so. ...
7
votes
1answer
164 views
Are Born-Oppenheimer energies analytic functions of nuclear positions?
I am looking for references to bibliography that explores the smoothness and analyticity of eigenvalues and eigenfunctions (and matrix elements in general) of a hamiltonian that depends on some ...
5
votes
4answers
476 views
Study Quantum Physics
I'm an aspiring physicist who wants to self study some Quantum Physics. My thirst for knowledge is unquenchable and I can not wait 2 more years until I get my first quantum physics class in ...
4
votes
2answers
130 views
Quantum Mechanics in terms of *-algebras
I'm currently trying to find my way into the geometric description of Quantum Mechanics. I therefor started reading:
Geometry of state spaces. In: Entanglement and Decoherence (A. Buchleitner et ...
2
votes
3answers
281 views
Mathematics for Quantum Mechanics [duplicate]
What math should I study if I want to get a basic understanding of quantum mechanics and especially to be able to use the Schrodinger's equation.
1
vote
2answers
93 views
When do the von Neumann projections occur and what causes them?
(Transferred as a separate question from comments in Scott Aaronson’s gravitational decoherence question)
Reversing gravitational decoherence
The modern answer seems to be that they never occur, ...
0
votes
0answers
54 views
Is it possible to use the properties of quantum mechnics to develop a computer that develop mathmatical theory? [closed]
Is it possible to use the properties of quantum mechnics to develop a computer that develop mathmatical theory?
I want some reference please, because i want to get into very detailed.
Thanks in ...
0
votes
0answers
45 views
Books on the general notions of measurements, observables, states, etc.? [closed]
I am reading the intro chapter in Huzihiro Araki's Mathematical Theory of Quantum Fields, which discusses the general notions of states, measurements, and observables (e.g. the topology on the sets of ...
1
vote
4answers
160 views
Non linear QM and wave function collapse
I heard that there have been some propositions about describing the collapse of the wave-function by adding non-linear terms, but I couldn't anything in any any textbooks or even articles (probably ...
3
votes
0answers
64 views
Known properties of a specific class of quantum states
Recently, I have been studying a quantum protocol for the "Hidden Matching" problem that makes use of states that can be expressed as
$|\psi\rangle=\frac{1}{\sqrt{n}}\sum_{i=1}^n ...
1
vote
1answer
117 views
Impervious nature of solid matter due to quantum degeneracy pressure
On Wikipedia the following statement is made without reference:
Freeman Dyson showed that the imperviousness of solid matter is due to
quantum degeneracy pressure rather than electrostatic ...
10
votes
1answer
452 views
Entanglement in time
Quantum entanglement links particles through time, according to this study that received some publicity last year:
New Type Of Entanglement Allows 'Teleportation in Time,' Say Physicists at The ...
3
votes
2answers
863 views
Good quantum physics textbooks [duplicate]
Possible Duplicate:
Learn algebra and interpretation of QM
I'm a physics student it's my last year and I find my self struggling with usage of quantum mechanics. Now I'm starting to learn ...
2
votes
1answer
113 views
Good resources for learning/reviewing complex time propagator formalism
I studied this at the beginning of my graduate degree but have to review it for my graduate exam. If it's not clear I'm talking about the $\beta = \frac{it}{\hbar} $ turning the integral of your ...
-2
votes
1answer
685 views
How to calculate ground state wave function?
I have seen many ground state wave functions.
From where are they derived?
How can one calculate them?
Where can one find a list of all ground state wavefunctions discovered?
8
votes
2answers
338 views
What Hermitian operators can be observables?
We can construct a Hermitian operator $O$ in the following general way:
find a complete set of projectors $P_\lambda$ which commute,
assign to each projector a unique real number $\lambda\in\mathbb ...
8
votes
1answer
73 views
Many body quantum states analyzed as probabilistic sequences
Measurements of consecutive sites in a many body qudit system (e.q. a spin chain) can be interpreted as generating a probabilistic sequence of numbers $X_1 X_2 X_3 \ldots$, where $X_i\in ...
2
votes
3answers
403 views
Hilbert space and Lie algebra in quantum mechanics
We are looking for a publication or website that explains the Standard Model in terms of Hilbert space and Lie algebra.
We are reading Debnath's Introduction to Hilbert Spaces and Applications and ...
5
votes
1answer
37 views
Optimality of the CHSH strategy
The maximum achievable probability of the Clauser-Horne-Shimony-Holt game is $\cos^2(\pi/8)\approx85.355\%,$ which can be proved with Tsirelson's inequality. But I don't imagine that this remained ...
4
votes
1answer
35 views
Convexity — reference request
I've been reading a few papers on generalized probabilistic theories, and have been struggling through proofs of some results that involve use of convexity and group theory, e.g. this paper on bit ...
9
votes
3answers
134 views
Hilbert-Schmidt basis for many qubits - reference
Every density matrix of $n$ qubits can be written in the following way
$$\hat{\rho}=\frac{1}{2^n}\sum_{i_1,i_2,\ldots,i_n=0}^3 t_{i_1i_2\ldots i_n} ...
1
vote
1answer
250 views
How many different formulations of QM currently exist?
I read some while ago that, currently, eleven different formulations of quantum mechanics exist. Is this correct / accurate? If yes, can someone provide a pointer(s) (i.e. link(s)) to the various ...
6
votes
1answer
69 views
Quantum mechanics as a Markov process
I am currently involved in some understanding on this matter with a colleague of mine. I know all the literature about but I do not know the state of art. Please, could you provide some relevant ...
1
vote
1answer
157 views
Quantum Mechanics Video lectures
Are there any good video lectures for learning quantum mechanics at the level of Griffith?
2
votes
1answer
437 views
Hyperfine structure vs Lamb shift in the hydrogen atom
The hyperfine structure of the energy levels of the hydrogen atom refers to the shifts in the evergy levels due to the magnetic moments of the nucleus and of the electron. This is an effect of ...
4
votes
4answers
383 views
References for conceptual issues in Quantum Field Theory
I realize this question is very broad but may be I will still get a helpful answers. References and textbooks for the development of the technical and mathematical aspects of QFT abound. However, I ...
3
votes
3answers
242 views
Dirac paper quoted at Wikipedia
From Wikipedia's http://en.wikipedia.org/wiki/Uncertainty_principle:
In 1936 Dirac offered a precise definition and derivation of the time-energy uncertainty relation in a relativistic quantum ...
2
votes
6answers
227 views
reference 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 ...
3
votes
3answers
776 views
Popular books on QM
After some discussions with my friend about some "popular" aspects of quantum mechanics, my friend asked me whether there exist any books that could convey the basic ideas in a non-technical way (my ...
2
votes
2answers
241 views
Any resources to learn how to interpret formulae/diagrams?
Are there any materials exploring intermediate levels (of any sub-subject) which give plain English descriptions along side formulas/equations/notation?
2
votes
2answers
2k views
How is the Breit-Rabi formula derived?
Does anyone know how the Breit-Rabi formula (energy dependence of the hyper-fine splitting in presence of any external magnetic field for alkali atoms when $F=I \pm 1/2$) is derived, or where to find ...
3
votes
2answers
261 views
Web references for Nelson's “Quantum Fluctuations”?
Edward Nelson's book "Quantum Fluctuations" (Princeton UP, 1985) gives an alternative way to introduce trajectories, quite different to the trajectories of de Broglie-Bohm type approaches. I've read ...
2
votes
1answer
233 views
A particular notation about fermions
I am not sure that this notation is specific to supersymmetry theories but I ran into this while studying that.
I see people talking of component fields of a chiral superfield as $\phi$ and ...
8
votes
3answers
185 views
References on the physics of anyons
Anyone know some good introductory references on the physics of anyons?
4
votes
2answers
262 views
What is a good reference for the quantum mechanical description of lasers?
I am currently taking a graduate level class on lasers. The primary focus of the class is on the design and engineering aspects of lasers, e.g. resonator design. However the first portion of the class ...
7
votes
2answers
658 views
Modern and complete references for the $k\cdot p$ method?
I've recently started studying the $k\cdot p$ method for describing electronic bandstructures near the centre of the Brillouin zone and I've been finding it hard to find any pedagogical references on ...
5
votes
7answers
761 views
Evolution in the interpretation of the Dirac equation
As I understand, Dirac equation was first interpreted as a wave equation following the ideas of non relativistic quantum mechanics, but this lead to different problems.
The equation was then ...
3
votes
3answers
468 views
Books for linear operator and spectral theory
I need some books to learn the basis of linear operator theory and the spectral theory with, if it's possible, physics application to quantum mechanics. Can somebody help me?
