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Dec
9
comment Magnetic Dipole: How to plug into Maxwell's equations?
@Hui Zhang Yes it is the gradient of a delta function. $m$ is the magnitude of the magnetic dipole moment vector. You can choose the radius of the loop $a$ tending to zero, the current $I$ tending to infinity, but the combination $I a^2$ finite, for example by taking $I =\frac{I_0}{\epsilon^2}$ and $ a = a_0 \epsilon$ and letting $\epsilon \rightarrow 0$. A similar trick is performed in the case of an electric dipole.
Dec
8
answered Magnetic Dipole: How to plug into Maxwell's equations?
Dec
6
awarded  Revival
Dec
5
answered Fermi Walker vs. Fermi transport
Dec
5
answered Applications of analytic continuation to physics
Nov
28
comment Proof that eigenvalues of Fermionic creation/annihilation operators are Grassman numbers
Cont. According to the first interpretation a coherent state can be considered as a function on $M \times M$ where $M$ is the supermanifold (whose coordinates are $\psi$ and $\zeta$ respectively) which depends only on $\psi$ and $\zeta ^{\dagger}$. One can then extend the inner product to this type of functions. Then one can identify the quantum states "super rays" differing by a multiple a Grassmann number in analogy with the bosonic case.
Nov
28
comment Proof that eigenvalues of Fermionic creation/annihilation operators are Grassman numbers
@user10001 Both interpretations can be made rigorous. In both cases one must be aware that a quantum state is not identified with a vector in a Hilbert space but rather with a ray (multiplication by a complex constant does not change the state). The second interpretation is the basis of the theory of "super-Hilbert" spaces which was studied by B. DeWitt and Rogers.
Nov
28
revised Proof that eigenvalues of Fermionic creation/annihilation operators are Grassman numbers
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Nov
28
comment Proof that eigenvalues of Fermionic creation/annihilation operators are Grassman numbers
@user10001 I am answering your questions in a separate edit
Nov
28
comment Proof that eigenvalues of Fermionic creation/annihilation operators are Grassman numbers
@Echows I recommend to start from the following review arxiv.org/abs/math-ph/0202026v1 by Cartier, DeWitt-Morette, Ihl and Sämann
Nov
28
revised Proof that eigenvalues of Fermionic creation/annihilation operators are Grassman numbers
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Nov
27
answered Proof that eigenvalues of Fermionic creation/annihilation operators are Grassman numbers
Nov
21
revised Fermion boundary conditions at finite temperature
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Nov
20
answered Do we have a quantum field theory of monopoles?
Nov
20
revised Can we “trivialize” the equivalence between canonical quantization of fields and second quantization of particles?
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Nov
20
answered Why does adjoint representation matter in some field theories?
Nov
20
answered Can we “trivialize” the equivalence between canonical quantization of fields and second quantization of particles?
Nov
19
answered Fermion boundary conditions at finite temperature
Nov
12
awarded  Revival
Nov
12
revised Wilson Loops as raising operators
added 1692 characters in body