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Results tagged with schroedinger-equation
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user 228134
Partial differential equation which describes the time evolution of the wavefunction of a quantum system. It is one of the first and most fundamental equations of quantum mechanics.
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How to solve Schroedinger's equation with Kratzer potential?
Kratzer potential is defined by
$$V(r)={\frac{\alpha}{r}+\frac{\beta}{r^2}}.$$
I read that the Schroedinger equation for this potential has an analytical solution in terms of hypergeometric function …
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How to get Bohr model from Schroedinger equation? [duplicate]
New theories must in some approximation must reduce to older approximately correct theories.
In what approximation exactly does the angular momentum quantization condition from Schroedinger's equation …
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How to prove the Jackson-Feenberg identity in quantum mechanics?
The Jackson-Feenberg identity for evaluating the expectation of kinetic energy is frequently used in the theory of quantum liquids and is given by:
$$<\hat{T}>=-\frac{\hbar^2}{8m}\int d^3r[(\nabla^2\ …
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How to choose boundary conditions for numerical solution of Schrodinger's equation whose sol...
I am using the "Shooting method" for solving the TISE with a "reasonably arbitrary" potential in 1D,with boundary conditions such that the eigenfunctions $\psi_n\to0$ as $x\to\infty$(And another bound …
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Can momentum never be zero in quantum mechanics?
I have seen Zetilli's QM book deals with $E>V$ and $E< V$ (tunnelling) in case of the potential wells deliberately avoiding the E=V case, so I thought maybe something is intriguing about this and made …
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'Why' is the Schrödinger equation non-relativistic?
The transition amplitude for a particle currently in one spacetime point to appear up in another point doesn't respect causality which becomes one of the main reasons to abandon non-relativistic quant …
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