Tagged Questions
4
votes
2answers
76 views
Translator Operator
In Modern Quantum Mechanics by Sakurai, at page 46 while deriving commutator of translator operator with position operator, he uses $$\left| x+dx\right\rangle \simeq \left| x \right\rangle.$$ But for ...
5
votes
4answers
275 views
Is the momentum operator diagonal in position representation?
The matrix elements of the momentum operator in position representation are:
$$\langle x | \hat{p} | x' \rangle = -i \hbar \frac{\partial \delta(x-x')}{\partial x}$$
Does this imply that $\langle x ...
3
votes
3answers
469 views
Matrix elements of momentum operator in position representation
I have two related questions on the representation of the momentum operator in the position basis.
The action of the momentum operator on a wave function is to derive it:
$$\hat{p} ...
0
votes
1answer
166 views
State normalization in Dirac's formulation of quantum mechanics
Let us divide the time $T$ into $N$ segments each lasting $δt = T/N$. Then
we write $\langle q_F | e^{−iHT} |q_I \rangle = \langle q_F | e^{−iHδt} e^{−iHδt} . . . e^{−iHδt} |q_I \rangle $
Our ...
