1998Quantum and Semiclassical Optics Journal of the European Optical Society Part BOpen access

The evolution of harmonic oscillator Wigner functions described by the use of group representations

Hashem Zoubi, Y. Ben-Aryeh

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Abstract

The time development of harmonic oscillator Wigner functions under quadratic Hamiltonians, including Markoffian damping terms, for thermal and squeezed reservoirs, is analysed by the use of group-theoretical methods.

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The time development of harmonic oscillator Wigner functions under quadratic Hamiltonians, including Markoffian damping terms, for thermal and squeezed reservoirs, is analysed by the use of group-theoretical methods.

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Available abstract

The time development of harmonic oscillator Wigner functions under quadratic Hamiltonians, including Markoffian damping terms, for thermal and squeezed reservoirs, is analysed by the use of group-theoretical methods.

Key concepts: Harmonic oscillator, Group (periodic table), Wigner distribution function, Group representation, Harmonic, Mathematics, Physics, Mathematical physics

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