[图书][B] The Jaynes–Cummings model and its descendants: modern research directions
J Larson, T Mavrogordatos - 2021 - iopscience.iop.org
The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …
Supersymmetry and quantum mechanics
F Cooper, A Khare, U Sukhatme - Physics Reports, 1995 - Elsevier
In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …
Classical and quantum superintegrability with applications
W Miller, S Post, P Winternitz - Journal of Physics A: Mathematical …, 2013 - iopscience.iop.org
A superintegrable system is, roughly speaking, a system that allows more integrals of motion
than degrees of freedom. This review is devoted to finite dimensional classical and quantum …
than degrees of freedom. This review is devoted to finite dimensional classical and quantum …
Quasi-exactly-solvable problems andsl(2) algebra
AV Turbiner - Communications in Mathematical Physics, 1988 - Springer
Recently discovered quasi-exactly-solvable problems of quantum mechanics are shown to
be related to the existence of the finite-dimensional representations of the group SL (2, Q) …
be related to the existence of the finite-dimensional representations of the group SL (2, Q) …
[图书][B] Quasi-exactly solvable models in quantum mechanics
AG Ushveridze - 2017 - taylorfrancis.com
Exactly solvable models, that is, models with explicitly and completely diagonalizable
Hamiltonians are too few in number and insufficiently diverse to meet the requirements of …
Hamiltonians are too few in number and insufficiently diverse to meet the requirements of …
One-dimensional quasi-exactly solvable Schrödinger equations
AV Turbiner - Physics Reports, 2016 - Elsevier
Abstract Quasi-Exactly Solvable Schrödinger Equations occupy an intermediate place
between exactly-solvable (eg the harmonic oscillator and Coulomb problems, etc.) and non …
between exactly-solvable (eg the harmonic oscillator and Coulomb problems, etc.) and non …
New findings in quantum mechanics (partial algebraization of the spectral problem)
MA Shifman - International Journal of Modern Physics A, 1989 - World Scientific
We discuss a new class of spectral problems discovered recently which occupies an
intermediate position between the exactly-solvable problems (like the famous harmonic …
intermediate position between the exactly-solvable problems (like the famous harmonic …
An infinite family of solvable and integrable quantum systems on a plane
F Tremblay, AV Turbiner… - Journal of Physics A …, 2009 - iopscience.iop.org
An infinite family of exactly solvable and integrable potentials on a plane is introduced. It is
shown that all already known rational potentials with the above properties allowing …
shown that all already known rational potentials with the above properties allowing …
New methods in the theory of quantum spin systems
VV Ulyanov, OB Zaslavskii - Physics reports, 1992 - Elsevier
Recently developed methods to investigate quantum spin systems are reviewed. These
methods are based on somewhat unconventional applications of the spin coherent state …
methods are based on somewhat unconventional applications of the spin coherent state …
Quantal problems with partial algebraization of the spectrum
MA Shifman, AV Turbiner - Communications in Mathematical Physics, 1989 - Springer
We discuss a new class of spectral problems discovered recently which occupies an
intermediate position between the exactly-solvable problems (eg, harmonic oscillator) and …
intermediate position between the exactly-solvable problems (eg, harmonic oscillator) and …