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Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.

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Changing widths of potential wells

I have the following question presented to me: A particle of mass M is moving in a one-dimensional infinite potential well of length $a$, with walls at $x=0$ and $x=a$, described by the potential: …
Frankie S. Palmer's user avatar
1 vote
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Potential barrier, vertically shifted

I'm attempting to solve the 1D Schrodinger Equation, approaching a potential barrier defined as follows: $$V(x) = \begin{cases}-V_0&\quad\text{for}\quad x<0 \\0&\quad\text{for}\quad x>0\end{cases}$$ …
Frankie S. Palmer's user avatar