All Questions
3
questions
1
vote
1
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335
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How is the $\nabla^n $ operator defined?
In Quantum Mechanics, the translation operator $\hat{T}$ can be written as
$$\hat{T}(\boldsymbol{x}) = 1 - \dfrac{ix\cdot \hat{p}}{\hbar} - \dfrac{i(x\cdot \hat{p})^2}{2\hbar^2} - \dfrac{i(x\cdot \...
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3
votes
1
answer
134
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Mathematical operations order when using an operator
I am not very familiar with operators (as I do not study mathematics) and I have just started a Quantum Mechanics course in a university. However, I am not sure what should be the precise order of ...
- 87
2
votes
0
answers
89
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Doubt about the spectrum of an operator
I consider the Laplacian operator
$$A=-\Delta$$ in the domain $$H^2(\mathbb{R}^3)$$ where it is selfadjoint. We know that its spectrum is $[0,+\infty)$. Now I want to consider the restriction of $A$ ...
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