Classical Structures in Quantum Mechanics and Applications

摘要: The theory of Non-Relativistic Quantum Mechanics was created (or discovered) back in the 1920's mainly by Schr\"odinger and Heisenberg, but it is fair enough to say that a more modern unified approach subject introduced Dirac Jordan with their (intrinsic) Transformation Theory. In his famous text book on quantum mechanics [1], well-known bra ket notation view even Einstein (who was, as well known, very critical towards general physical world-view) considered most elegant presentation at time[2]. One characteristic this formulation observables position momentum are truly treated equally so an intrinsic phase-space seems natural course be taken. fact, we may distinguish least two different mechanical approaches structure phase space: Weyl-Wigner (WW) formalism advent Coherent States (CS). has had many applications ranging from discussion Classical/Quantum Mechanical transition chaos signal analysis[3,4]. State profound impact Optics during time found diverse areas such geometric quantization, wavelet harmonic analysis [5]. chapter present compact review these formalisms (with also coordinate independent notation) some non-standard up-to-date modular variables weak values.