Explain whether the eigen functions of the following Hamiltonian for a

Question

Explain whether the eigen functions of the following Hamiltonian for a particle of mass m will have a definite parity: $H = \frac{p^2}{2m} + \frac{1}{2}m\omega^2x^2$ .

19 Jan 2026

Answer :

Word Count : 161

The given Hamiltonian is [ H = \frac{p^2}{2m} + \frac{1}{2} m \omega^2 x^2, ] which is the standard one-dimensional harmonic oscillator. The potential energy term is ____ ___ _________ _________ ______ ______ __________ ____ _____ ______ ____ _______.
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