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Two-dimensional isotropic harmonic oscillator

For unit mass and angular frequency,

H = a_{x}^{†} a_{x} + a_{y}^{†} a_{y} + 1.

The level with total occupation

N = n_{x} + n_{y}

has energy

N + 1

and degeneracy

N + 1

in units where

ℏ = 1

.

Table of contents 69 2
- Oscillator bilinear commutator Two-dimensional isotropic harmonic oscillator 13
- Schwinger boson representation Two-dimensional isotropic harmonic oscillator 30

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