# A quantum particle in a box (with a catch)

I am reading Shankar's Quantum Mechanics and I am looking at the case where there is one particle inside a box, where the potential is zero inside the wall and abruptly goes to infinity outside the wall. I like the technique of differential equations used and I am wondering if we suppose there is a particle in $n$-dimensional space, then we can still use the technique used in calculating wavefunction and energy in say a 2-dimensional and 3-dimensional box.

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