All Questions
Tagged with coherent-states second-quantization
6
questions
3
votes
1
answer
222
views
Advantage of coherent path integral
I think(?) I am quite familiar with path integral over phase space, but not familiar with the coherent state path integral. What is the advantage of this coherent path integral besides the usual path ...
- 3,622
3
votes
0
answers
619
views
BCS groundstate as eigenstate of the Cooper pair annihilation operator
In section 3.7 of his book Introduction to Superconductivity (2nd Ed.), Tinkham states that
[...] we note that S has the eigenvalue $e^{i\varphi}$ in a BCS state in which the the phase of $\Delta$ [.....
- 1,540
1
vote
0
answers
176
views
Coherent state of "generalized" annihilation operator
We all know that the coherent state $|\alpha \rangle=\sum_n \, \frac{\alpha^n}{n!}\,(a^{\dagger})^n \, |0\rangle $ is an eigenstate of the annihilation operator: $a |\alpha\rangle = \alpha |\alpha \...
- 1,037
-1
votes
1
answer
780
views
Exponential of ladder operators acting on vacuum state [closed]
How would I solve expressions of the following nature:
$$<0|e^{Vt(a+a^\dagger)}|0>$$ and $$<0|e^{\omega aa^\dagger t}|0>~?$$
My intuition is that I have to expand the exponent as a ...
- 63
2
votes
1
answer
192
views
Doi's second quantization: expected value of Hamiltonian
I am currently trying to understand section 3.3 from this article, about how to use second quantization techniques in statistical mechanics. Here I have the creation and annihilation operators defined ...
- 1,188
3
votes
2
answers
4k
views
Scalar product of coherent states
We suppose for simplicity we have a 1D oscillator, but this is a question about the general CCR in oscillators, second quantization, quantum field theory etc.
We know coherent states form a non-...
- 1,434