An Introduction to Thermal Physics · Problem A.17

Systems of Interacting Particles — Daniel Schroeder

Physics — Statistical Mechanics · 2d-harmonic-oscillator

Problem

A two-dimensional harmonic oscillator can be considered as a system of two independent one-dimensional oscillators. Consider an isotropic two-dimensional oscillator, for which the natural frequency is the same in both directions. Write a formula for the allowed energies of this system, and draw an energy level diagram showing the degeneracy of each level.

Related theory

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