dorsal/arxiv
View SchemaExact solution in the Heisenberg picture and annihilation-creation operators
| Authors | Satoru Odake, Ryu Sasaki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605221 |
| URL | https://arxiv.org/abs/quant-ph/0605221 |
| DOI | 10.1016/j.physletb.2006.08.017 |
| Journal | Phys.Lett. B641 (2006) 112-117 |
Abstract
The annihilation-creation operators of the harmonic oscillator, the basic and most important tools in quantum physics, are generalised to most solvable quantum mechanical systems of single degree of freedom including the so-called `discrete' quantum mechanics. They admit exact Heisenberg operator solution. We present unified definition of the annihilation-creation operators (a^{(\pm)}) as the positive/negative frequency parts of the exact Heisenberg operator solution.
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"abstract": "The annihilation-creation operators of the harmonic oscillator, the basic and\nmost important tools in quantum physics, are generalised to most solvable\nquantum mechanical systems of single degree of freedom including the so-called\n`discrete\u0027 quantum mechanics. They admit exact Heisenberg operator solution. We\npresent unified definition of the annihilation-creation operators (a^{(\\pm)})\nas the positive/negative frequency parts of the exact Heisenberg operator\nsolution.",
"arxiv_id": "quant-ph/0605221",
"authors": [
"Satoru Odake",
"Ryu Sasaki"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.CA",
"math.MP",
"nlin.SI"
],
"doi": "10.1016/j.physletb.2006.08.017",
"journal_ref": "Phys.Lett. B641 (2006) 112-117",
"title": "Exact solution in the Heisenberg picture and annihilation-creation operators",
"url": "https://arxiv.org/abs/quant-ph/0605221"
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