3
votes
1answer
322 views

Even and Odd States of a 1D finite potential well

Is it possible for a particle trapped in a 1D finite potential well to evolve from a even state to an odd state and vice-versa? Why?
11
votes
1answer
1k views

Schrödinger Equation

I am reading up on the Schrödinger equation and I quote Because the potential is symmetric under $x\to-x$, we expect that there will be solutions of definite parity. Could someone kindly explain ...
9
votes
2answers
375 views

The Ozma Problem

The "Ozma problem" was coined by Martin Gardner in his book "The Ambidextrous Universe", based on Project Ozma. Gardner claims that the problem of explaining the humans left-right convention would ...
1
vote
1answer
970 views

Symmetric potential and the commutator of parity and hamiltonian

In one dimension - How can one prove that the Hammiltonian and the parity operator commute in the case where the potential is symmetric (an even function)? i.e. that [H, P] = 0 for V(x)=V(-x)