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DO NOT USE THIS TAG just because your question involves math! If your question is on simplification of a mathematical expression, please ask it at math.stackexchange.com The mathematics tag covers non-applied pure mathematical disciplines that are traditionally not part of the mathematical physics curriculum, such as, e.g., number theory, category theory, algebraic geometry, general topology, algebraic topology, etc.

1 vote

Physical significance of a wavefunction with a discontinuous derivative

The relation of the first derivative of the wave function is meant to keep the flux of propability constant across the interface. Therefore, if the effectice masses are different across a heterojuncti …
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8 votes

The position is given by $x=A\cos \omega t$ and $y=B\cos 2\omega t $. Show that it describes...

The parameter equation \begin{align} x & = A \cos(\omega t)\\ y & = B \cos(2 \omega t). \end{align} You may draw this curve in an $xy$ plane for each pair $(x(t), y(t))$, the trajectory will resemble …
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3 votes
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Functional derivative for $J[f]=\int [f(y)]^p \phi(y)dy$

Since $\delta(x)$ is not an operational function, it can only be defined by a limiting process. Your variation is in fact including two limiting processes. For multi-limiting processes, the order of t …
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