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Jul
27
answered Proving that interval preserving transformations are linear
Jul
27
comment Why is the Ritz combination principle incompatible with Classical Mechanics?
I understand how the Ritz combination principle comes about naturally in Quantum Mechanics... You say: "This relationship is impossible to understand classically". This is what I don't understand. What's the justification for claiming that the Ritz combination principle cannot fit with classical mechanics?
Jul
27
asked Why is the Ritz combination principle incompatible with Classical Mechanics?
Jul
27
comment Proving that interval preserving transformations are linear
@Qmechanic: How does one prove that a tensor $a_{\mu }^{\rho }$ that satisfies $\eta ^{\mu \nu }a_{\mu }^{\rho }a_{\nu }^{\sigma }=\eta ^{\rho \sigma }$ can be put in the form $\delta _{\mu }^{\rho }$ through Lorentz transformations? If this is supposed to be elementary, at least point me to some website or something that explains it, since I'm self-studying this stuff. Thanks.
Jul
27
comment Proving that interval preserving transformations are linear
@Qmechanic: I'm not clear on the 3rd step. Specifically, the part that says "By possibly performing an appropriate "rotation", we will from now on assume without loss of generality that the constant matrix ..." Can you elaborate? Thanks.
Jul
26
asked Physics-oriented books on fractals
Jul
26
awarded  Critic
Jul
25
comment Proving that interval preserving transformations are linear
@Ben Crowell: Edited the question.
Jul
25
revised Proving that interval preserving transformations are linear
deleted 55 characters in body
Jul
25
comment Proving that interval preserving transformations are linear
@Ben Crowell: I think I was wrong to put it that way. Spacetime is homogeneous, isotropous, and flat, with the Minkowski metric. What I don't want to assume is any properties of homogeneity or isotropy in the coordinate transformation $\left\{y^i\right\}\leftrightarrow \left\{x^i\right\}$. All I want to assume is that the interval is preserved, and from that prove the linearity. I hope it's clearer now.
Jul
23
asked Proving that interval preserving transformations are linear
Jul
18
awarded  Supporter
Jul
18
accepted Rotations in space-time
Jul
16
asked Rotations in space-time
Jun
15
accepted Rayleigh-Lamb dispersion curves
Jun
10
comment Rayleigh-Lamb dispersion curves
If I understood your answer correctly, then I think you understood my question correctly (sorry if it was not very clear). Your answer is that there's no definite way to assign modes if the dispersion curves intersect. I think I agree with you, but I've seen dispersion curves where the authors insist in splitting the modes (NOT by symmetry properties, of this much I'm sure). Can't cite any papers as I've only seen this on conferences. Perhaps it's only for convenience, as you say.
Jun
9
awarded  Promoter
Jun
7
revised Rayleigh-Lamb dispersion curves
added 47 characters in body
Jun
7
revised Rayleigh-Lamb dispersion curves
Had forgotten to put the definitions of p and q.
Jun
7
asked Rayleigh-Lamb dispersion curves