dorsal/arxiv
View SchemaHusimi operator and Husimi function for describing electron's probability distribution in uniform magnetic field derived by virtue of the entangled state representation
| Authors | Hong-yi Fan, Qin Guo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611206 |
| URL | https://arxiv.org/abs/quant-ph/0611206 |
Abstract
For the first time we introduce the Husimi operator Delta_h(gamma,varepsilon;kappa) for studying Husimi distribution in phase space(gamma,varepsilon) for electron's states in uniform magnetic field, where kappa is the Gaussian spatial width parameter. Using the Wigner operator in the entangled state |lambda> representation [Hong-Yi Fan, Phys. Lett. A 301 (2002)153; A 126 (1987) 145) we find that Delta_h(gamma,varepsilon;kappa) is just a pure squeezed coherent state density operator |gamma,varepsilon>_kappa kappa<gamma,varepsilon|, which brings convenience for studying and calculating the Husimi distribution. We in many ways demonstrate that the Husimi distributions are Gaussian-broadened version of the Wigner distributions. Throughout our calculation we have fully employed the technique of integration within an ordered product of operators.
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"abstract": "For the first time we introduce the Husimi operator\nDelta_h(gamma,varepsilon;kappa) for studying Husimi distribution in phase\nspace(gamma,varepsilon) for electron\u0027s states in uniform magnetic field, where\nkappa is the Gaussian spatial width parameter. Using the Wigner operator in the\nentangled state |lambda\u003e representation [Hong-Yi Fan, Phys. Lett. A 301\n(2002)153; A 126 (1987) 145) we find that Delta_h(gamma,varepsilon;kappa) is\njust a pure squeezed coherent state density operator |gamma,varepsilon\u003e_kappa\nkappa\u003cgamma,varepsilon|, which brings convenience for studying and calculating\nthe Husimi distribution. We in many ways demonstrate that the Husimi\ndistributions are Gaussian-broadened version of the Wigner distributions.\nThroughout our calculation we have fully employed the technique of integration\nwithin an ordered product of operators.",
"arxiv_id": "quant-ph/0611206",
"authors": [
"Hong-yi Fan",
"Qin Guo"
],
"categories": [
"quant-ph"
],
"title": "Husimi operator and Husimi function for describing electron\u0027s probability distribution in uniform magnetic field derived by virtue of the entangled state representation",
"url": "https://arxiv.org/abs/quant-ph/0611206"
},
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