Professor Sergei K Suslov
Arizona State University
United States
My Publications
Multi-parameter laser modes in paraxial optics
ACM Communications in Computer Algebra
June 2015
The Pauli–Lubański vector, complex electrodynamics, and photon helicity
Physica Scripta
June 2015
Solution of paraxial wave equation for inhomogeneous media in linear and quadratic appr...
Proceedings of the American Mathematical Society
October 2014
A Graphical Approach to a Model of a Neuronal Tree with a Variable Diameter
Mathematics
July 2014
The Riccati System and a Diffusion-Type Equation
Mathematics
May 2014
Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II
January 2014
On the Problem of Electromagnetic-Field Quantization
International Journal of Theoretical Physics
August 2013
Spiral laser beams in inhomogeneous media
Optics Letters
July 2013
WIGNER FUNCTION APPROACH TO OSCILLATING SOLUTIONS OF THE 1D-QUINTIC NONLINEAR SCHRÖDING...
Journal of Nonlinear Optical Physics & Materials
June 2013
The minimum-uncertainty squeezed states for atoms and photons in a cavity
Journal of Physics B Atomic Molecular and Optical Physics
May 2013
On a hidden symmetry of quantum harmonic oscillators
The Journal of Difference Equations and Applications
April 2013
An analogue of the Berry phase for simple harmonic oscillators
Physica Scripta
February 2013
Reconstructing the Schrödinger groups
Physica Scripta
February 2013
Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach. I
January 2013
Mathematics—An Open Access Journal
Mathematics
December 2012
Mathematics—An Open Access Journal
Mathematics
December 2012
An “Airy gun”: Self-accelerating solutions of the time-dependent Schrödinger equation i...
Physics Letters A
December 2012
On integrability of nonautonomous nonlinear Schrödinger equations
Proceedings of the American Mathematical Society
September 2012
Soliton-like solutions for the nonlinear schrödinger equation with variable quadratic h...
Journal of Russian Laser Research
January 2012
Dynamic invariants and the berry phase for generalized driven harmonic oscillators
Journal of Russian Laser Research
September 2011
Exact wave functions for generalized harmonic oscillators
Journal of Russian Laser Research
July 2011
The degenerate parametric oscillator and Ince's equation
Journal of Physics A Mathematical and Theoretical
December 2010
Quantum integrals of motion for variable quadratic Hamiltonians
Annals of Physics
September 2010
Dynamical invariants for variable quadratic Hamiltonians
Physica Scripta
May 2010
Relativistic Kramers–Pasternack recurrence relations
Journal of Physics B Atomic Molecular and Optical Physics
March 2010
Mathematical structure of relativistic Coulomb integrals
Physical Review A
March 2010
Обращение времени для модифицированных осцилляторов
Теоретическая и математическая физика
January 2010
Expectation values in relativistic Coulomb problems
Journal of Physics B Atomic Molecular and Optical Physics
September 2009
Models of damped oscillators in quantum mechanics
Journal of Physical Mathematics
January 2009
Expansion of analytic functions in q-orthogonal polynomials
The Ramanujan Journal
December 2008
Solution of the Cauchy problem for a time-dependent Schrödinger equation
Journal of Mathematical Physics
July 2008
Propagator of a Charged Particle with a Spin in Uniform Magnetic and Perpendicular Elec...
Letters in Mathematical Physics
May 2008
The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems
Journal of Mathematical Physics
January 2008
Preface
The Ramanujan Journal
June 2007
Method of separation of the variables for basic analogs of equations of mathematical ph...
The Ramanujan Journal
June 2007
A Note on Completeness of Basic Trigonometric System in $L^2$
Rocky Mountain Journal of Mathematics
December 2003
Asymptotics of zeros of basic sine and cosine functions
Journal of Approximation Theory
April 2003
Basic Bernoulli and Euler Polynomials and Numbers and q-Zeta Function
January 2003
An Introduction to Basic Fourier Series
January 2003
Introduction
January 2003
Completeness of Basic Trigonometric Systems
January 2003
Improved Asymptotics of Zeros
January 2003
Addition Theorems
January 2003
Investigation of Basic Fourier Series
January 2003
Some Expansions and Integrals
January 2003
Basic Exponential and Trigonometric Functions
January 2003
Introduction of Basic Fourier Series
January 2003
Suggestions for Further Work
January 2003
Numerical Investigation of Basic Fourier Series
January 2003
Some Expansions in Basic Fourier Series
January 2003
Some Expansions in Basic Fourier Series and Related Topics
Journal of Approximation Theory
April 2002
Special Functions 2000: Current Perspective and Future Directions
January 2001
Basic Exponential Functions on a q-Quadratic Grid
January 2001
Completeness of basic trigonometric system in ℒ^{
January 2001
Another addition theorem for the q -exponential function
Journal of Physics A Mathematical and General
October 2000
Numerical investigation of basic Fourier series
January 2000
Some orthogonal very well poised -functions
Journal of Physics A Mathematical and General
August 1997
Some summation theorems and transformations for $q$-series
Canadian Journal of Mathematics
June 1997
A unified approach to the summation and integration formulas for q-hypergeometric funct...
Journal of Statistical Planning and Inference
September 1996
On a general q-Fourier transformation with nonsymmetric kernels
Journal of Computational and Applied Mathematics
April 1996
On classical orthogonal polynomials
Constructive Approximation
June 1995
Barnes and Ramanujan-Type Integrals on the q -Linear Lattice
SIAM Journal on Mathematical Analysis
May 1994
The Pearson Equation and the Beta Integrals
SIAM Journal on Mathematical Analysis
March 1994
Theq-harmonic oscillator and the Al-Salam and Carlitz polynomials
Letters in Mathematical Physics
October 1993
The q-harmonic oscillator and an analogue of the Charlier polynomials
Journal of Physics A Mathematical and General
August 1993
An Analog of the Fourier Transformation for A q-Harmonic Oscillator
January 1993
Classical biorthogonal rational functions
January 1993
On the Askey-Wilson polynomials
Constructive Approximation
September 1992
Difference Hypergeometric Functions
January 1992
A realization fo the q-harmonic oscillator
Theoretical and Mathematical Physics
April 1991
Classical Orthogonal Polynomials of a Discrete Variable
January 1991
Classical Orthogonal Polynomials
January 1991
Classical Orthogonal Polynomials of a Discrete Variable
January 1991
Hyperspherical Harmonics
January 1991
Classical Orthogonal Polynomials of a Discrete Variable and the Representations of the ...
January 1991
Classical Orthogonal Polynomials of a Discrete Variable on Nonuniform Lattices
January 1991
Classical Orthogonal Polynomials of a Discrete Variable in Applied Mathematics
January 1991
Difference analogs of the harmonic oscillator
Theoretical and Mathematical Physics
October 1990
A correction
Russian Mathematical Surveys
June 1990
The theory of difference analogues of special functions of hypergeometric type
Russian Mathematical Surveys
April 1989
Classical orthogonal polynomials of a discrete variable continuous orthogonality relation
Letters in Mathematical Physics
July 1987
Classical orthogonal polynomials of a discrete variable on nonuniform lattices
Letters in Mathematical Physics
January 1986
Classical orthogonal polynomials of A discrete variable and representations of the thre...
Functional Analysis and Its Applications
January 1986
The Hahn and Meixner polynomials of an imaginary argument and some of their applications
Journal of Physics A Mathematical and General
July 1985
An Analog of the Cauchy-Hadamard Formula for Expansions in q-Polynomials