Analytic Calculation of Arbitrary Matrix Elements for Boson Exponential Quadratic Operators |
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| Authors: | PAN Jianwei HOU Guang ZHANG Yongde |
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| Institution: | 1. Institut fur experimentalphysik, Universitat Innsbruck Technikerstrasse 25, A-6020, Innsbruck, Austria;
2. Department of Modern Physics, University of Science and Technology of China, Hefei 230027, China;
3. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China |
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| Abstract: | By means of the transformation relation between the ordinary form of boson exponential quadratic operators (BEQO) and its anti-normal product form, we present an effective method to conveniently calculate arbitrary matrix elements of BEQO. By this method, many important matrix elements can be calculated analytically. As a direct application, we obtain the exact solutions of the density matrix and partition function for general boson quadratic Hamiltonian without any information about the energy level. |
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| Keywords: | matrix element boson exponential quadratic operator linear quantum transformation |
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