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10 papers · 2 filters
New Inequalities for Tomograms in the Probability Representation of Quantum States
Sergio De Nicola Renato Fedele, Margarita A. Man'ko, Vladimir I. Man'ko
New inequalities for symplectic tomograms of quantum states and their connection with entropic uncertainty relations are discussed within the framework of the probability represent…
Features of Magneto-Optical Resonances in an Elliptically Polarized Traveling Light Wave
D. V. Brazhnikov, A. V. Taichenachev, A. M. Tumaikin +5
The parameters of nonlinear absorption magneto-optical resonances in the Hanle configuration have been studied as functions of the ellipticity of a traveling light wave. It has bee…
Photoionization Broadening of the 1S-2S Transition in a Beam of Atomic Hydrogen
N. Kolachevsky, M. Haas, U. D. Jentschura +7
We consider the excitation dynamics of the two-photon \sts transition in a beam of atomic hydrogen by 243 nm laser radiation. Specifically, we study the impact of ionization dampin…
Star products, duality and double Lie algebras
Olga V. Man'ko, Vladimir I. Man'ko, Giuseppe Marmo +1
Quantization of classical systems using the star-product of symbols of observables is discussed. In the star-product scheme an analysis of dual structures is performed and a physic…
Dirac Hamiltonian with superstrong Coulomb field
B. L. Voronov, D. M. Gitman, I. V. Tyutin
We consider the quantum-mechanical problem of a relativistic Dirac particle moving in the Coulomb field of a point charge . In the literature, it is often declared that a quant…
New uncertainty relations for tomographic entropy: Application to squeezed states and solitons
Sergio De Nicola, Renato Fedele, Margarita A. Man'ko +1
Using the tomographic probability distribution (symplectic tomogram) describing the quantum state (instead of the wave function or density matrix) and properties of recently introd…
Does The Uncertainty Relation Determine The Quantum State?
Olga V. Man'ko, V. I. Man'ko, G. Marmo +2
The example of nonpositive trace-class Hermitian operator for which Robertson-Schroedinger uncertainty relation is fulfilled is presented. The partial scaling criterion of separabi…
Tomography in abstract Hilbert spaces
V. I. Man'ko, G. Marmo, A. Simoni +1
The tomographic description of a quantum state is formulated in an abstract infinite dimensional Hilbert space framework, the space of the Hilbert-Schmidt linear operators, with tr…
A tomographic setting for quasi-distribution functions
V. I. Man'ko, G. Marmo, A. Simoni +2
The method of constructing the tomographic probability distributions describing quantum states in parallel with density operators is presented. Known examples of Husimi-Kano quasi-…
A probabilistic operator symbol framework for quantum information
M. A. Man'ko, V. I. Man'ko, R. Vilela Mendes
Hilbert space operators may be mapped onto a space of ordinary functions (operator symbols) equipped with an associative (but noncommutative) star-product. A unified framework for…