Quaternion determinant expressions for multilevel dynamical correlation functions of parametric random matrices |
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| Institution: | 1. School of Cyber Engineering, Xidian University, Xi’an 710071, China;2. Shaanxi Key Laboratory of Network and System Security, Xidian University, Xi’an 710071, China;3. School of Telecommunication Engineering, Xidian University, Xi’an 710071, China;4. School of Computer Science and Technology, Xidian University, Xi’an 710071, China;5. School of Physics and Information Technology, Shaanxi Normal University, Xi’an 710062, China;6. Chongqing Key Laboratory of Image cognition, Chongqing University of Posts and Telecommunications, 400065, China;7. School of Mathematics and Physics, Weinan Normal University, Weinan 714000, China |
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| Abstract: | Parametric random matrix ensembles which describe the transition among different matrix symmetries are studied. In the case of the transition to the hermitian symmetry, exact expressions for dynamical correlation functions among many eigenvalues at different times are shown to have quaternion determinant forms. |
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