dorsal/arxiv
View SchemaWave-particle duality in the damped harmonic oscillator
| Authors | S. Teerenstra |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701082 |
| URL | https://arxiv.org/abs/quant-ph/0701082 |
Abstract
Quantization 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.
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"abstract": "Quantization of the damped harmonic oscillator is taken as leitmotiv to\ngently introduce elements of quantum probability theory for physicists. To this\nend, we take (graduate) students in physics as entry level and explain the\nphysical intuition and motivation behind the, sometimes overwhelming, math\nmachinery of quantum probability theory.\n The main text starts with the quantization of the (undamped) harmonic\noscillator from the Heisenberg and Schroedinger point of view. We show how both\ntreatments are special instances of a quantum probabilistic quantization\nprocedure: the second quantization functor. We then apply the second\nquantization functor to the damped harmonic oscillator and interpret the\nquantum dynamics of the position and energy operator as stochastic processes.",
"arxiv_id": "quant-ph/0701082",
"authors": [
"S. Teerenstra"
],
"categories": [
"quant-ph"
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"title": "Wave-particle duality in the damped harmonic oscillator",
"url": "https://arxiv.org/abs/quant-ph/0701082"
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