All Questions
Tagged with coherent-states fermions
6
questions
2
votes
2
answers
94
views
Grassmann variables and orthogonality of coherent fermionic states
Let a coherent fermionic state
$$
\left|\phi\right> := \left|0\right> + \left|1\right> \phi,\tag{0}
$$
where $\phi$ is a Grassmann number (i.e. it anticommutes with other Grassmann numbers). ...
- 1,611
2
votes
0
answers
113
views
Coherent state path integral for Dirac fermions
I’m trying to derive the fermionic path integral for the Dirac theory using the coherent state path integral, but I’m not able to get around the presence of a $\gamma_0$ making it look different from ...
- 968
5
votes
1
answer
644
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Where do fermionic coherent states live?
Although there have been a couple of questions on fermionic coherent states, I don't think any has answered the question "on what space do fermionic coherent states live?", or at least not ...
- 2,123
3
votes
1
answer
254
views
Boundary conditions of fermionic coherent states path integral
Given the algebra of a fermionic oscillator
$$ \{\hat{a},\hat{a}^\dagger \}=1\,, \qquad \hat{a}^2=(\hat{a}^\dagger)^2=0, $$
with coherent states $ \hat{a}|\xi\rangle=\xi|\xi\rangle $, let's ...
- 187
2
votes
1
answer
557
views
What is the definition of functions of Grassmann numbers?
I understand there are some relevant questions, but none of them solves my issue.
From Atland and Simons (Condensed Matter Field Theory), the definition of functions of Grassmann numbers are defined ...
- 1,431
2
votes
1
answer
123
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Show: $\langle n \vert \psi \rangle \langle \psi \vert n \rangle = \langle -\psi \vert n \rangle \langle n \vert \psi \rangle$ [closed]
The book (Altland and Simons, Condensed Matter Field Theory, Ch. 4.2) I am reading makes use of the identity
\begin{equation}
\langle n \vert \psi \rangle \langle \psi \vert n \rangle = \langle -\psi \...
- 23