All Questions
5
questions
2
votes
1
answer
82
views
Scaled Dirac Delta function: $ \delta (xe^r - y) $
I was reading on squeezed Gaussian states and stumbled upon this paper:
Equivalence Classes of Minimum-Uncertainty Packets. II.
It is mentioned after Eq. $\left(2\right)$ that
$$
\left\langle x\left\...
- 35
1
vote
1
answer
49
views
Fundamental property of Green's function is violated
$$\langle x| D|x'\rangle=D_x\langle x|x'\rangle=D_x\,\delta(x-x')$$
$DD^{-1} = I$ , Where '$I$ ' represents the Identity
position representation of this equation is
$\langle x|D|x'\rangle \langle ...
- 39
1
vote
0
answers
94
views
How boundary conditions for a green function is same a original function
I am trying to study green's function.suppose we have a differential equation,
$D_x f(x) =g(x)$ , We also provided with some boundary conditions for $f(x)$, But we supply this boundary conditions in ...
- 39
0
votes
1
answer
210
views
Position representation of an operator
$$\langle x| M|x'\rangle=M(x)\langle x|x'\rangle=M(x)\,\delta(x-x')$$
I know this is true for if $M$ is a momentum operator or position operator, is this is true for a general operator $M $?
$\...
- 39
5
votes
1
answer
218
views
Schrödinger operator with delta (zero range) interaction.
I am reading the book of Albeverio named Solvable models in quantum mechanics. In the first chapter it is explained how to realize the operator $"-\Delta+\delta_0"$ as a self adjoint operator on $L^2(\...
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