Consider two harmonic oscillators of the same mass and frequency, with Hamiltonian Find the continuous symmetries of

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Consider two harmonic oscillators of the same mass and frequency, with Hamiltonian

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Find the continuous symmetries of the system and write down the resulting conserved charges as a function of the phase space variables. Then quantize the system, and show that the charges do indeed commute with the quantum Hamiltonian.

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Quantum Mechanics A Graduate Course

ISBN: 9781108838733

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Authors: Horatiu Nastase

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Question Posted: Mar 27, 2024 05:01 AM

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Consider two harmonic oscillators of the same mass and frequency, with Hamiltonian Find the continuous symmetries of

Question:

HP++ H = 2m k + P) + (x + x). (12.71)

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Quantum Mechanics A Graduate Course

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