All Questions
Tagged with coherent-states grassmann-numbers
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
5
votes
1
answer
644
views
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
1
vote
0
answers
70
views
Coherent states of Fermi Operators
I am currently following the book of Lowell.S.Brown.
In the book, we construct:
$$|\zeta\rangle = e^{\alpha^{\dagger} \zeta} |0\rangle \tag{2.4.38}$$
Now, to show that the states so constructed are ...
- 367
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 \...
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