Answer to Question #271332 in Quantum Mechanics for Manu

Question

Let us consider a particle in a box problem. However, the bottom region of the box is slanted (linearly). Hence, the extra term in the Hamiltonian is of the form V0x/a, where V0 is a constant, a is the length of the box and x denotes the axis. As a trial function, use a linear combination of the first and 3rd eigenfunctions of the particle in box. Use the variational method to solve this problem by setting the secular determinant. The boundaries are at 0 and a.

Answer 1

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