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SUMMARY:O.V. Man'ko
DTSTART:20240911T092000Z
DTEND:20240911T110000Z
DTSTAMP:20260423T024545Z
UID:QOART/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QOART/53/">P
 robability representation for quantum states on examples of oscillator and
  qubit</a>\nby O.V. Man'ko as part of Quantum Optics and Related Topics\n\
 n\nAbstract\nIn conventional formulation of quantum mechanics system state
 s are described by wave functions\, density operators and their representa
 tions as the Wigner function\, the Husimi function\, the Glauber-Sudarshan
  function. Many decades (practically century) the idea to construct usual 
 probability distributions to describe the states of quantum systems was no
 t realized. Only recently such probability distribution representation for
  quantum states was constructed for all systems. The spin (qudit) states a
 re described by conditional probability distribution w(X|j) and oscillator
  states are described by quantum tomograms (symplectic tomographic probabi
 lity distribution function). In the talk explicit expressions for these pr
 obabilities are given. The tomograms describing oscillator states are give
 n by Gaussian probability distributions which contain all information abou
 t usual wave functions of the states and density matrices of the state. Tw
 o qubit states are described by conditional probabilities and usual densit
 y matrices of quantum states are expressed in terms of these probabilities
 . The Schrödinger equation for wave function is mapped onto kinetic equat
 ion for the introduced probability distributions. The general approach for
  quantization based on the formalism of star-product of functions-symbols 
 of operators is reviewed.\n
LOCATION:https://researchseminars.org/talk/QOART/53/
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