0000000000895147

AUTHOR

Margarita A. Man’ko

showing 2 related works from this author

Radon transform as a set of probability distributions

2009

It is proved that the Radon transform of the Wigner function gives the probability distributions related to measuring the observable operators obtained as linear combinations of position and momentum of the relevant particle. The generalization to an arbitrary number of degrees of freedom is given.

Integral transformsOptical tomographySettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciRadon transformCharacteristic function (probability theory)Mathematical analysisWigner semicircle distributionCondensed Matter PhysicsConvolution of probability distributionsAtomic and Molecular Physics and OpticsSettore FIS/03 - Fisica Della MateriaRegular conditional probabilityProbability distributionWigner distribution functionQuantum tomographyMathematical PhysicsMathematicsK-distribution
researchProduct

Dynamics of a harmonic oscillator coupled with a Glauber amplifier

2020

A system of a quantum harmonic oscillator bi-linearly coupled with a Glauber amplifier is analysed considering a time-dependent Hamiltonian model. The Hilbert space of this system may be exactly subdivided into invariant finite dimensional subspaces. Resorting to the Jordan-Schwinger map, the dynamical problem within each invariant subspace may be traced back to an effective SU(2) Hamiltonian model expressed in terms of spin variables only. This circumstance allows to analytically solve the dynamical problem and thus to study the exact dynamics of the oscillator-amplifier system under specific time-dependent scenarios. Peculiar physical effects are brought to light by comparing the dynamics…

гармонические осцилляторынестационарные гамильтонианыinverted quantum harmonic oscillatorNuclear TheoryFOS: Physical sciences01 natural sciencestime-dependent Hamiltonian010305 fluids & plasmasinteracting quantum harmonic oscillatorsymbols.namesakeexactly solvable SU(2) dynamical problem0103 physical sciencesInvariant (mathematics)Nuclear Experiment010306 general physicsMathematical PhysicsHarmonic oscillatorSpin-½PhysicsQuantum PhysicsInvariant subspaceHilbert spaceCondensed Matter PhysicsLinear subspaceAtomic and Molecular Physics and Opticsквантовые гармонические осцилляторыClassical mechanicsQuantum harmonic oscillatorточно решаемые динамические задачиCondensed Matter::Statistical MechanicssymbolsGlauber amplifierQuantum Physics (quant-ph)GlauberPhysica Scripta
researchProduct