A particle in one dimensional box of length 2a with potential energy V=cases 0 & |x| a cases is perturbed by the potential V'=cx\,eV, where c is a constant. The 1st order correction to the 1st excited state of the system is ____ c\,eV.

ABC26PH0327 · Atomic Structure

Subject: Physical Chemistry · Chapter: Atomic Structure · Topic: Atomic Structure – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

A particle in one dimensional box of length 2a with potential energy

\[ \mathrm{V}=\begin{cases} 0 & |x|<a \\ \infty & |x|>a \end{cases} \]

is perturbed by the potential $\mathrm{V}'=\mathrm{cx}\,\mathrm{eV}$, where c is a constant. The 1st order correction to the 1st excited state of the system is ____ $\times \mathrm{c\,eV}$.

Answer

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