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New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
Two-Dimensional Quantum Model Amenable Separation Variables
2010/11/11
The supersymmetric intertwining relations with second order supercharges allow to investigate new two-dimensional model which is not amenable to standard separation of variables. The corresponding po...
Continuous variables approach to entanglement creation and processing
Continuous variables entanglement squeezed states
2010/11/4
We apply the continuous variable approach to study entangled dynamics of coupled harmonic oscillators interacting with a thermal reservoir and to a deterministic creation of entanglement in an atomic...
Long-term photometric monitoring of Messier 5 variables: II. Blazhko stars
Solar and Stellar Astrophysics (astro-ph.SR)
2010/12/24
The light curves of 50 RRab (RR0) stars in M5 collected in Paper I are investigated to detect Blazhko modulation. 18 Blazhko stars are identified, and modulation is suspected in two additional cases. ...
Long-term photometric monitoring of Messier 5 variables: I. Period changes of RR Lyrae stars
Solar and Stellar Astrophysics (astro-ph.SR)
2010/12/24
The period changes of 86 M5 RR Lyrae stars have been investigated on a one-hundred-year time base. The published observations have been supplemented by archival Asiago, Konkoly and Las Campanas photog...
Fractional Hadamard transform with continuous variables in the context of quantum optics
Fractional Hadamard transform continuous variables context of quantum optics
2010/10/29
We introduce the quantum fractional Hadamard transform with continuous variables. It is found that the corresponding quantum fractional Hadamard operator can be decomposed into a single-mode fractiona...
X-rays and Gamma-rays from Cataclysmic Variables: The example case of Intermediate Polar V1223 Sgr
High Energy Astrophysical Phenomena (astro-ph.HE)
2010/12/23
The accretion of matter onto intermediate polar White Dwarfs (IPWDs) seems to provide attractive conditions for acceleration of particles to high energies in a strongly magnetized turbulent region at ...
Accretion Disks in Evolved Cataclysmic Variables
Solar and Stellar Astrophysics (astro-ph.SR)
2010/12/22
We explore conditions and structure of accretion disks in short-period Cata- clysmic Variables (CVs), which have evolved beyond the period minimum. We show that accretion discs in systems with extreme...
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
supersymmetry separation of variables integrability solvability
2010/10/27
Two different approaches are formulated to analyze two-dimensional quantum
models which are not amenable to standard separation of variables. Both methods are essentially
based on supersymmetrical s...
Operator monotone functions and Löwner functions of several variables
Operator monotone functions Lö wner functions of several variables
2010/12/9
We prove generalizations of L¨owner’s results on matrix monotone functions to several variables. We give a characterization of when a function of d variables is locally monotone on d-tuples of commuti...
To any walk in a quiver, we associate a Laurent polynomial. When the walk is the string of a string module over a 2-Calabi-Yau tilted algebra, we prove that this Laurent polynomial coincides with the ...
Separation of variables for symplectic characters
Separation of variables symplectic characters
2010/12/6
We perform separation of variables for the symplectic Weyl character using Sklyanin’s scheme. Viewing the characters as eigenfunctions of a quantum integrable system, we explicitlyconstruct the separa...
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Supercharacters symmetric functions noncommuting variables related Hopf algebras
2010/12/9
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite
field, and the...
On Weyl calculus in infinitely many variables
Weyl calculus infinite-dimensional Heisenberg group coadjoint orbit
2010/11/30
We outline an abstract approach to the pseudo-differential Weyl calculus for operators in function spaces in infinitely many variables. Our earlier approach to the Weyl calculus for Lie group represen...
Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
supersymmetry separation of variables integrability solvability
2010/12/13
Two different approaches are formulated to analyze two-dimensional quantum models which are not amenable to standard separation of variables. Both methods are essentially based on supersymmetrical sec...
Star products with separation of variables admitting a smooth extension
deformation quantization with separation of variables
2011/2/28
Given a complex manifold M with an open dense subset endowed with a pseudo-K¨ahler form ! which cannot be smoothly extended to a larger open subset.