An electron moving in a conjugated pi framework of a molecule (such as an alkene like polyacetylene) can be approximated as an electron in a box of length L. If an externally applied electric field of strength e = ee that is oriented along the x axis (the length of the box), it interacts with the negatively charged electron via the following perturbation to the potential energy VE еє х — where x is the position of the electron in the box, e is the field strength, and e is the electron charge. Calculate the first order perturbation to the energy of the ground-state wavefunction.

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Physical Chemistry: Quantum Mechanics

An electron moving in a conjugated pi framework of a molecule (such as an alkene
like polyacetylene) can be approximated as an electron in a box of length L. If an
externally applied electric field of strength e
= ee
that is oriented along the x axis (the length of the box), it interacts with the negatively
charged electron via the following perturbation to the potential energy
V = ee
where x is the position of the electron in the box, e is the field strength, and e is the
electron charge. Calculate the first order perturbation to the energy of the ground-state
wavefunction.
Transcribed Image Text:An electron moving in a conjugated pi framework of a molecule (such as an alkene like polyacetylene) can be approximated as an electron in a box of length L. If an externally applied electric field of strength e = ee that is oriented along the x axis (the length of the box), it interacts with the negatively charged electron via the following perturbation to the potential energy V = ee where x is the position of the electron in the box, e is the field strength, and e is the electron charge. Calculate the first order perturbation to the energy of the ground-state wavefunction.
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