Wave-particle duality in the damped harmonic oscillator

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dc.creatorTeerenstra, S.
dc.date2007-01-13
dc.date.accessioned2026-07-07T07:41:08Z
dc.date.available2026-07-07T07:41:08Z
dc.descriptionQuantization of the damped harmonic oscillator is taken as leitmotiv to gently introduce elements of quantum probability theory for physicists. To this end, we take (graduate) students in physics as entry level and explain the physical intuition and motivation behind the, sometimes overwhelming, math machinery of quantum probability theory. The main text starts with the quantization of the (undamped) harmonic oscillator from the Heisenberg and Schroedinger point of view. We show how both treatments are special instances of a quantum probabilistic quantization procedure: the second quantization functor. We then apply the second quantization functor to the damped harmonic oscillator and interpret the quantum dynamics of the position and energy operator as stochastic processes.
dc.descriptionMSc thesis in Theoretical Physics. 109 pages. Related to the lecture notes quant-ph/0411024
dc.identifierhttps://arxiv.org/abs/quant-ph/0701082
dc.identifierhttp://arxiv.org/abs/quant-ph/0701082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121996
dc.subjectQuantum Physics
dc.titleWave-particle duality in the damped harmonic oscillator
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