dorsal/arxiv
View SchemaUnified Theory of Annihilation-Creation Operators for Solvable (`Discrete') Quantum Mechanics
| Authors | Satoru Odake, Ryu Sasaki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605215 |
| URL | https://arxiv.org/abs/quant-ph/0605215 |
| DOI | 10.1063/1.2349485 |
| Journal | J.Math.Phys. 47 (2006) 102102 |
Abstract
The annihilation-creation operators $a^{(\pm)}$ are defined as the positive/negative frequency parts of the exact Heisenberg operator solution for the `sinusoidal coordinate'. Thus $a^{(\pm)}$ are hermitian conjugate to each other and the relative weights of various terms in them are solely determined by the energy spectrum. This unified method applies to most of the solvable quantum mechanics of single degree of freedom including those belonging to the `discrete' quantum mechanics.
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"abstract": "The annihilation-creation operators $a^{(\\pm)}$ are defined as the\npositive/negative frequency parts of the exact Heisenberg operator solution for\nthe `sinusoidal coordinate\u0027. Thus $a^{(\\pm)}$ are hermitian conjugate to each\nother and the relative weights of various terms in them are solely determined\nby the energy spectrum. This unified method applies to most of the solvable\nquantum mechanics of single degree of freedom including those belonging to the\n`discrete\u0027 quantum mechanics.",
"arxiv_id": "quant-ph/0605215",
"authors": [
"Satoru Odake",
"Ryu Sasaki"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.CA",
"math.MP",
"nlin.SI"
],
"doi": "10.1063/1.2349485",
"journal_ref": "J.Math.Phys. 47 (2006) 102102",
"title": "Unified Theory of Annihilation-Creation Operators for Solvable (`Discrete\u0027) Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0605215"
},
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