Answered: Consider a spinless particle of mass, M…

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Consider a spinless particle of mass, M which is moving in a 3-dimensional potential V(x, y, z) = {1/2 mw^2z^2,0

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Question

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Consider a spinless particle of mass, M which is moving in a 3-dimensional potential

V(x, y, z) = {^{1/2 mw}^{^2z^2,0<x<a, 0<y<b.}_{infinity, otherwise}

_{Obtain the total energy and tge total wavefuction for this particle. Assume that in addition to tge potential V(x, y, z) this particle also has a negative electric charge -q and that is subjected to a constant electric field £ directed along the z-axis. Derive the energy expressions}E_{nz for this particle and also its total energy}E_{nz ny nx. Hence find the energies of ground state and the first excited state}

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