bound state

If energy times wavefunction, minus potential times wavefunction, is greater than zero, wavefunction oscillates {unbound state} {continuous spectrum}. Wavelength and quantum energy levels are too small to detect.

If energy times wavefunction, minus potential times wavefunction, is less than zero, wavefunction goes to zero {bound state} {discrete spectrum} only at special eigenvalues or else goes to infinity. At special eigenvalues, wavelength and quantum energy levels are large enough to detect.

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Date Modified: 2022.0224