Mathematical Methods in Classical and Quantum Mechanics
A bound state refers to a quantum state of a particle or system where it is confined to a specific region in space due to the presence of a potential that is strong enough to hold it in place. In such states, the energy of the system is lower than the energy of free particles, leading to quantized energy levels. This concept is crucial in understanding stationary states and energy eigenfunctions, as bound states correspond to stable configurations where particles can exist without being able to escape to infinity.
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