Recent content by jensa
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J
Graduate Problems with Many Worlds Interpretation
EDIT: Upon rereading the quote below I realize that I misread/misinterpreted what you wrote and the response doesn't apply to the quote. Still the point I wanted to make stands on it's own, and I vaguely recall you writing about the interpretation of experiments in earlier posts, so I'll leave...- jensa
- Post #390
- Forum: Quantum Interpretations and Foundations
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J
Graduate Problems with Many Worlds Interpretation
Hurkyl, I am curious to hear how the concept of experiments fits into your view of science. You seem to reject the notion that we can even perceive a definite outcome of measurements so where does this leave experimental physics? For example: In your worldview, is it even possible to...- jensa
- Post #365
- Forum: Quantum Interpretations and Foundations
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J
Graduate Problems with Many Worlds Interpretation
Depending on how far into philosophy you would like to go I am sure you are right. I think this is more or less exactly what I tried to say but was somewhat sloppy/inarticulate: When I talk of "branches" I refer to the sequence of labels j,j',j'',\ldots which are associated with...- jensa
- Post #254
- Forum: Quantum Interpretations and Foundations
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J
Graduate Problems with Many Worlds Interpretation
Fredrik/KenG: Sorry to jump into the middle of the discussion. I usually don't participate in interpretational issues but have found your posts on the matter interesting. I am just curious if the following summarizes your viewpoints on the issue (or whether I am missing some points). Let...- jensa
- Post #244
- Forum: Quantum Interpretations and Foundations
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J
Graduate Understanding Wick Contractions for Quantum Field Theory
To give you some feeling of what's going on I can try to elaborate on what peteratcam and others have said. The analogy with statistical analysis is a very good one and goes a long way in understanding how things work. Let's say you have a set \mathbf{x}=(x_1,x_2,..,x_n)^T of statistical...- jensa
- Post #7
- Forum: Quantum Physics
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J
Graduate BCS theory by canonical transformation
Sure. Eq. (3.18a) |\psi_\varphi\rangle=\Pi_k(|u_k|+|v_k|e^{i\varphi}c_{k\uparrow}^*c_{-k\downarrow}^*)|\phi_0\rangle Eq. (3.18b) |\psi_N\rangle=\int_0^{2\pi}d\varphi e^{-iN\varphi/2}\Pi_k(|u_k|+|v_k|e^{i\varphi}c_{k\uparrow}^*c_{-k\downarrow}^*)|\phi_0\rangle = \int_{0}^{2\pi}...- jensa
- Post #16
- Forum: Atomic and Condensed Matter
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J
Graduate BCS theory by canonical transformation
Sorry for not answering for a while. I've been on vacation and didn't check the forum. The equations I refer to are in Tinkhams second edition, I suppose you have the first one. You can probably find the equations using google books or the preview feature at amazon. If not, let me know and I''ll...- jensa
- Post #14
- Forum: Atomic and Condensed Matter
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J
Graduate BCS theory by canonical transformation
Hi IFNT, welcome to the forum. I think most textbooks are a little vague on the subject and I am not sure I have a consistent picture of this stuff myself. However I can try to explain what I think Tinkham refers to. 1. Not sure what reduced Hamiltonian means in this context. Could you...- jensa
- Post #3
- Forum: Atomic and Condensed Matter
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J
Graduate Collective modes and restoration of gauge invariance in superconductivity
I'm not really qualified to answer your questions but maybe some references might help you on your way. If you are quite familiar with the functional integral approach then I think this is the more modern approach to dealing with superconductors in a gauge invariant manner as well as...- jensa
- Post #2
- Forum: Atomic and Condensed Matter
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J
Graduate Explore the Concept of Density Matrix with Jensa: A Comprehensive Guide
Don't know where this expression comes from or why it is useful but it's quite simple to show that it is true. If the density matrix is normalized to unity then you should have \rho_{11}+\rho_{22}=1. Then in your equation you just substitute 1=(\rho_{11}+\rho_{22})^2 so that you get...- jensa
- Post #2
- Forum: Quantum Physics
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J
Graduate Angular momentum and Hamiltonian commutator
It's a dynamical equation which is equivalent to the Schrödinger equation. In the Schrödinger picture the states change with time, in the Heisenberg picture the operators change with time. http://en.wikipedia.org/wiki/Heisenberg_picture- jensa
- Post #5
- Forum: Quantum Physics
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J
Graduate Desintegration of particle into 2 fermions
Conservation of angular momentum implies that you two fermions should be in the spin singlet state (S=0). \frac{1}{\sqrt{2}}\left(|\uparrow\downarrow\rangle-|\downarrow\uparrow\rangle\right) This state is anti-symmetric wrt interchange of the spin-indices of the two particles. As you said...- jensa
- Post #4
- Forum: Quantum Physics
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J
Graduate Angular momentum and Hamiltonian commutator
This is just the equation of motion of an operator in the Heisenberg picture, isn't it?- jensa
- Post #3
- Forum: Quantum Physics
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J
Graduate Why MWI cannot explain the Born rule
Well, I hope I didn't give the impression that I am some kind of expert in decoherence, I'm certainly not. But I can try to explain what I understand from the the book. Joos describes false decoherence as when "Coherence is trivially lost if one of the required components [of the wavefunction]...- jensa
- Post #157
- Forum: Quantum Interpretations and Foundations
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J
Graduate Why MWI cannot explain the Born rule
Oddly I can see pages 134-180 + the first few pages with table of contents etc + backcover. I am a little confused as to how the preview feature works...perhaps its either 101 first pages or part of a chapter of your choosing. You could try amazon as well, at least I am able to look at that...- jensa
- Post #153
- Forum: Quantum Interpretations and Foundations