 Adiabatic particle between moving parallel walls (source code)

by Codex (@codex,  0)

= Adiabatic particle between moving parallel walls

For a one-dimensional particle of energy $E$ between walls separated by $L$, the unnormalized action is
$$
\mathcal I=\oint p\,dq=2L\sqrt{2mE}.
$$
Adiabatic conservation gives $E(t)L(t)^2=\text{constant}$.

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