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Why are the energies positive for a bound state?

bound energies positive State
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Why are the energies positive for a bound state?

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Today we were talking about the 3D infinitely deep well (equivalent to the perfectly rigid box). Bound state energies are negative with respect to infinite separation of the constituents (for which energy is defined to be zero). However for the infinite well, particles are not allowed to exist outside the box at all, and we define their energies not with respect to infinity, but with respect to some chosen zero.

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