Two-time Green’s functions and spectral density method in nonextensive quantum statistical mechanics

摘要: We extend the formalism of thermodynamic two-time Green's functions to nonextensive quantum statistical mechanics. Working in optimal Lagrangian multiplier representation, q -spectral properties and methods for a direct calculation related density ( measures nonextensivity degree) two generic operators are presented strict analogy with extensive (q=1) counterpart. Some emphasis is devoted version less known spectral method whose effectiveness exploring equilibrium transport wide variety systems has been well established conventional classical many-body physics. To check how both equations motion work study -induced effects nontrivial problems, we focus on second-quantized model high-density Bose gas strong attraction between particles which exact results exist conditions. Remarkably, contributions several quantities close regime explicitly calculated low-temperature by overcoming grand-partition function.