69 citations · 566 across the 54 of their papers we have counts for
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Wave Packets and Coherent Structures for Nonlinear Schroedinger equations in Variable Nonuniform Media
Alex Mahalov, Sergei K. Suslov
We determine conditions under which a generic gauge invariant nonautonomous and inhomogeneous nonlinear partial differential equation in the two-dimensional space-time continuum ca…
Relativistic Coulomb Integrals and Zeilberger's Holonomic Systems Approach. I
Peter Paule, Sergei K. Suslov
With the help of computer algebra we study the diagonal matrix elements <Or^p>, where O are the standard Dirac matrix operators and the angular brackets denote the quantum-mechanic…
An eigenvalue problem for the associated Askey-Wilson polynomials
Andrea Bruder, Christian Krattenthaler, Sergei K. Suslov
To derive an eigenvalue problem for the associated Askey-Wilson polynomials, we consider an auxiliary function in two variables which is related to the associated Askey-Wilson poly…
On a Hidden Symmetry of Quantum Harmonic Oscillators
Raquel M. Lopez, Sergei K. Suslov, Jose M. Vega-Guzman
We consider a six-parameter family of the square integrable wave functions for the simple harmonic oscillator, which cannot be obtained by the standard separation of variables. The…
The Minimum-Uncertainty Squeezed States for for Atoms and Photons in a Cavity
Sergey I. Kryuchkov, Sergei K. Suslov, Jose M. Vega-Guzman
We describe a six-parameter family of the minimum-uncertainty squeezed states for the harmonic oscillator in nonrelativistic quantum mechanics. They are derived by the action of co…