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Results tagged with schroedinger-equation
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user 294547
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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Fourier Decomposition of Schrödinger's Equation with a Potential ${V}{\left({x}\right)}=e^x$
Question: Can the equation ${\psi}_{{{t}}}-{i}{\psi}_{{{x}{x}}}={e}^{{{x}}}{\psi}$ be solved with a canonical Fourier transform? If it requires a Fokas transform or inverse scattering transform, how w …
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Solving the 1D Schrödinger equation under the potential $V(x) = f(t)x$ [closed]
Following the sketch given in this answer, I hoped to solve the 1+1 dimensional Schrodinger equation under a potential $f(t)x$ by using a time dependent boost.
$$\left(\frac{-\hbar^2}{2m}\frac{\partia …
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Schrodinger Equation: Time Dependent, Periodic Potential $$V(x,t)=\begin{cases}V_0x&:t\in[0,...
Imagine that we have a particle in a cylinder of finite length and neglible radius. We can then assume that the system is axisymmetric and can be solved in one dimension.
Let us consider a time varyin …
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Momentum Space Solutions of the 1D Schrodinger equation in the Potential $f(t)x$ [closed]
Yesterday, I asked a question about solving the 1D Schrodinger equation in a time varying potential $f(t)x$ using a method solely in configuration space. Although this approach does not directly answe …
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