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cse • paper_2 • quantum_mechanicscse-2010-subject-05-002

Hamilton’s equations — UPSC CSE 2010 Physics PYQ

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A system is described by the Hamiltonian operator, H=-\dfrac{d^2}{dx^2}+x^2. Show that the function A x\exp\left(-\dfrac{x^2}{2}\right) is an eigen function of H. Determine the eigen values of H.

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