From picture below, seemly, bound states is the solutions of equation, is right ? But in wiki, bound states is a physical conception, and I can't understand it.
2026-04-06 22:42:22.1775515342
What is bound states (in math)?
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It is the same as the physical conception. They are solutions where $|\psi|$ drops to zero as you leave the local minimum f the potential $V$, so the particle has little chance of being far away. It is said to be bound to that minimum.