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Oct
3
answered Quantization of arbitrary electromagnetic field
Oct
2
revised Macroscopic laws which haven't been derived from microscopic laws
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Oct
2
answered How to construct the charge conjugation matrix for any given dimension?
Oct
2
answered Macroscopic laws which haven't been derived from microscopic laws
Sep
30
awarded  Electorate
Sep
23
comment Killing vectors for SO(3) (rotational) symmetry
cont. For the computation of the Killing vectors according to the given Wikipedia page, one needs in advance to construct the invariant metric. Furthermore, given the invariant metric, the Killing vector components satisfy differential equations which are harder to solve than the algebraic equations in the method described in the answer.
Sep
23
comment Killing vectors for SO(3) (rotational) symmetry
@ramanujan_dirac: Actually, for the construction described above, one does not need to know any property of the Maurer-Cartan form except its evaluation by the insertion of the Euler parameter formula of $g$ into its definition. This form has many interseting properties and applications, please see for further reading Shlomo Sternberg lectures: math.harvard.edu/~shlomo/docs/lie_algebras.pdf.
Sep
23
answered Killing vectors for SO(3) (rotational) symmetry
Sep
22
answered simple explanation of chiral anomaly?
Sep
21
revised What are the solution spaces of Nonlinear Schrödinger equations?
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Sep
21
revised What are the solution spaces of Nonlinear Schrödinger equations?
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Sep
21
revised What are the solution spaces of Nonlinear Schrödinger equations?
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Sep
21
answered What are the solution spaces of Nonlinear Schrödinger equations?
Sep
21
revised A good example of a nonlinear symplectomorphism?
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Sep
21
answered A good example of a nonlinear symplectomorphism?
Sep
14
answered Gentle introduction to twistors
Sep
11
answered Complete set of observables in classical mechanics
Sep
6
comment Aharonov-Bohm Effect and Flux Quantization in superconductors
Yes, this is exactly the definition of multivaluedness. Take for example the "funtion" $e^{\frac{i\theta}{2}}$ on the circle, it is multiple valued since it takes two different values at $\theta = 2\pi$ and $\theta = 4\pi$ which are the same physical point. Its modulus is a true function on the circle. Of course, the modulous operation cancels only a single global phase and if the wave function is a superposition, the relative phases will still exist. This is the reason why the wave function "feels" the topology in the Aharonov-Bohm effect.
Sep
5
comment classical dynamics on group manifold SU(2)
I added an update answering the question about the hydrogen atom
Sep
5
revised classical dynamics on group manifold SU(2)
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