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Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.
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Quantum simple harmonic oscillator interpretation
It turns out, as a general fact, that theories which contain only quadratic terms in position and momentum can be solved as a linear combinations of SHO (just look at the SHO Hamiltonian and you will …