Asymptotic behavior of the spectrum of combination scattering at Stokes phonons
DOI10.1134/S0040577917100063zbMath1387.81398OpenAlexW2767932361MaRDI QIDQ1702610
M. A. Lapik, Yu. N. Orlov, Alexander I. Aptekarev
Publication date: 28 February 2018
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0040577917100063
polynomial quantum Hamiltoniancreation operatorannihilation operatorasymptotics of a discrete orthogonal polynomialcombination scatteringequilibrium measure in an external field
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) (n)-body potential quantum scattering theory (81U10) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20)
Cites Work
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- Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation
- Zero distributions for discrete orthogonal polynomials
- The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients
- Constrained energy problems with applications to orthogonal polynomials of a discrete variable
- On a conjecture of E. A. Rakhmanov
- Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics
- On the limit behavior of recurrence coefficients for multiple orthogonal polynomials
- Dressing method in matter+radiation quantum models
- Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients
- Global asymptotics of Krawtchouk polynomials -- a Riemann-Hilbert approach
- Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice
- Asymptotics of Meixner polynomials and Christoffel–Darboux kernels
- Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
- Equilibrium measure and the distribution of zeros of the extremal polynomials of a discrete variable
- A continuum limit of the Toda lattice
- Darboux transformations of the Jaynes–Cummings Hamiltonian
- Families of equilibrium measures in an external field on the real axis
- The leading term of the Plancherel-Rotach asymptotic formula for solutions of recurrence relations
- Ratio asymptotics of Hermite-Padé polynomials for Nikishin systems
- Conservation laws for polynomial Hamiltonians and for discrete models of the Boltzmann equation
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