All Questions
4
questions
1
vote
1
answer
63
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Canonical and kinetic momenta vs gauge dependence
I am struggling a bit to understand the concept of gauge invariance/dependence with canonical momentum.
For instance, if we consider a Hamiltonian of a particle in an electromagnetic field described ...
- 11
1
vote
1
answer
341
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Minimal coupling Hamiltonian
A charged particle in an em field can be described by the following Hamiltonian (in CGS units):
$$H = \frac {(\vec{p} \ + \frac {q}{c}\vec{A})^2}{2m} + U(r)$$
But... what does it mean to square the ...
- 1,644
7
votes
1
answer
580
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Why is the generalized momentum replaced by the momentum operator but not the ordinary momentum?
I was trying to understand the derivation of the Hamiltonian for a charged particle in an electromagnetic field. https://en.wikipedia.org/wiki/Hamiltonian_mechanics#...
- 135
1
vote
2
answers
807
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Quantization of the Hamiltonian of a particle in a uniform magnetic field
If a particle of mass $m$ and charge $q$ is subject to a uniform magnetic field and if we have a vector potential $\mathbf{A}$ then we know that classically the dynamics of the particle will be ...
- 36.4k