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The term "harmonic oscillator" is used to describe any system with a "linear" restoring force that tends to return the system to an equilibrium state. There is both a classical harmonic oscillator and a quantum harmonic oscillator. Both are used as toy problems that describe many physical systems.
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Change of variable in harmonic oscillator time independent Schrodinger equation
I was revising the harmonic oscillator for my intro to quantum course and realised I'd sort of accepted a change of variable result without actually being able to get to it. It says:
The stationary s …
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Change of operator in the Hamiltonian [closed]
We are told that the particle has mass m and charge e and is moving in 2 dimensions.
The position operator $\mathbf{X}=(X_{1},X_{2})$ and momentum operator $\mathbf{P}=(P_{1},P_{2})$
We are given th …