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Quantum Mechanical PDE Question
I'm studying quantum mechanics and I'm considering the usual time-independent Schrödinger equation
\begin{equation*}
-\left(\frac{\hbar^{2}}{2m}\right)\left(\nabla'\right)^{2}u_{E}(\mathbf{x}') + V(\...
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Spectrum of $H = - \Delta + y^2 + a e^{b(x+y)}$.
Define the Hamiltonian
$$
H = - \Delta + y^2 + a e^{b(x+y)}\,,
$$
where $- \Delta = - \partial_x^2 - \partial_y^2$ and $a,b > 0$. I'm trying to determine the spectrum and/or generalized ...
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10
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Derivation of Schrödinger's equation
I recall a famous quote of the late physicist Richard Feynman:
Where did we get that from? It's not possible to derive it from anything you know. It came out of the mind of Schrödinger.
This quote ...
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