EXACT SOLUTION FOR A GENERAL SUPERSYMMETRIC QUADRATIC SYSTEM
Huai-Xin Lu, Zeng‐Bing Chen, Lei Ma, YONG-DE ZHANG · Modern Physics Letters B · 2002
We construct a general supersymmetric quantum transformation for studying the supersymmetric quadratic Hamiltonian which contains the interaction of multi-mode fermions with multi-mode bosons. The Hamiltonian can be derived from that of multi-mode radiation field interacting with m two-level atoms. By using the supersymmetric quantum transformation, the diagonolized Hamiltonian is given. We also concisely derive the analytic expression of the super-partition function for the supersymmetric quadratic Hamiltonian without knowing the energy spectrum.