Phase operator of the quantum supersymmetric harmonic oscillator

Details Phase operator of the quantum supersymmetric harmonic oscillator Phase operator of the quantum supersymmetric harmonic oscillator

2007-10-16

arxiv.org/abs/0710.3138v1

Physics

Quantum Physics

Scientific paper

After a brief introduction recalling how, in the limit in which the mass and the electric charge of the electron and the positron tend to zero, Quantum Electrodynamics reduces to a collection of uncoupled quantum supersymmetric harmonic oscillators, the phase operator of the quantum fermionic harmonic oscillator and of the quantum supersymmetric harmonic oscillator are introduced and their properties analyzed. It is then shown that the phase operator of a supersymmetric harmonic oscillator is a Goldstone operator at any strictly positive temperature (finite or infinite).

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