Question

Quantum Mechanics.

Find the energies, degenerations and wave functions for the first three energy levels (ground state
and first two excited states) of a system of two identical particles with spin , which move in a one-
dimensional infinite well of size .

Find corrections of energies to first order in $V_{0}$ if an attracting potential of contact $H_{I}=-V_{0}\delta (x_{1}-x_{2})$ is added.

Show that in the case of "spinless" fermions, the previous perturbation has no effect.

Step by step process with good handwriting, please. It can be hard to read the answer sometimes.

Thank you a lot.

2

Answer 1

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