Cover Image

Hamiltonian analysis of accurate integration of a three-level quantum model of the Dicke super-radiation

It is proved, that the quantum З-level supperradiance Dicke model is exactly solvable. The Lax representation of the evolutionary equations system is derived basing on the theory of current Lie algebras. The quantum inverse scattering problem method is used to obtain quantum analogues of the action-...

Full description

Saved in:

Bibliographic Details
Date:	1992
Main Author:	Samulyak , R. V.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 1992
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8178
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Hamiltonian analysis of exact integrability of the quantum 3-level superradiance Dicke model
by: Samuliak, R.V.
Published: (1992)

Dicke superradiance on Landau levels
by: Fomin, P.I., et al.
Published: (2001)

Quantum Super-Integrable Systems as Exactly Solvable Models
by: Fordy, A.P.
Published: (2007)

Generalized Dicke model as an integrable dynamical system inverse to the nonlinear Schrödinger equation
by: Samuliak, R. V., et al.
Published: (1995)

The effect of superposition on the quantum features of the cavity radiation of a three-level laser
by: D. Ayehu, et al.
Published: (2021)

The effect of superposition on the quantum features of the cavity radiation of a three-level laser
by: D. Ayehu, et al.
Published: (2021)

Violation of γ in Brans–Dicke gravity
by: H. K. Nguyen, et al.
Published: (2024)

Violation of γ in Brans–Dicke gravity
by: H. K. Nguyen, et al.
Published: (2024)

Accurate deteriminations of vibrational and radiative thermal transport in perovkite, rocksalt, and related structures
by: A. Hofmeister
Published: (2010)

Accurate deteriminations of vibrational and radiative thermal transport in perovkite, rocksalt, and related structures
by: Hofmeister, A.
Published: (2010)

Highly accurate approximation for sheath currents in high-voltage three-phase cable line
by: Tkachenko, O., et al.
Published: (2026)

High accurate method to calculate a singular integral related to Hankel transform
by: R. Assoudi, et al.
Published: (2022)

A Super-Integrable Two-Dimensional Non-Linear Oscillator with an Exactly Solvable Quantum Analog
by: Cariñena, J.F., et al.
Published: (2007)

Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems
by: Talalaev, D.V.
Published: (2017)

Accurate numerical modelling the GaAs MESFET current-voltage characteristics
by: Merabtine, N., et al.
Published: (2004)

The quantum analysis of a nondegenerate three-level laser with spontaneous emission and noiseless vacuum reservoir
by: T. Abebe
Published: (2018)

The quantum analysis of a nondegenerate three-level laser with spontaneous emission and noiseless vacuum reservoir
by: T. Abebe
Published: (2018)

A new method for investigating and accurately solving the one-dimensional quantum Ising model in constant and variable transverse magnetic fields
by: A. Heidari, et al.
Published: (2013)

A new method for investigating and accurately solving the one-dimensional quantum Ising model in constant and variable transverse magnetic fields
by: A. Heidari, et al.
Published: (2013)

Density-dependent analytical equations of radiation shielding parameters for super alloys by linear regression analysis
by: M. Aygun, et al.
Published: (2023)

The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
by: Johnson-Freyd, T.
Published: (2016)

Gypsum and silica complex mixture of refractory filler for models accurate castings
by: A. S. Kocheshkov, et al.
Published: (2015)

Kinetic Equations and Integrable Hamiltonian Systems
by: Belokolos, E. D., et al.
Published: (2005)

The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization
by: Bogolubov (Jr.), N.N., et al.
Published: (2009)

Hypercomplex functions and accurate solutions of one equation of hydrodynamics
by: V. S. Shpakovskij
Published: (2017)

Singular Potentials in Quantum Mechanics and Ambiguity in the Self-Adjoint Hamiltonian
by: Fülöp, T.
Published: (2007)

Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models
by: Dhont, G., et al.
Published: (2017)

Three-Level Model of the National Innovation System of Ukraine
by: P. M. Tsybulov
Published: (2018)

Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
by: Inoue, R., et al.
Published: (2007)

Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds
by: Işim Efe, M., et al.
Published: (2017)

Quantum Integrable Model of an Arrangement of Hyperplanes
by: Varchenko, A.
Published: (2011)

Integrable Models of Interaction of Matter with Radiation
by: Inozemtsev, V.I., et al.
Published: (2006)

Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
by: Beffa, G.M.
Published: (2008)

Co-responsibility and (super)diversity: philosophical aspects of the contempo-rary discussions on integration
by: S. P. Balinchenko
Published: (2019)

The God Game vs Human Game: Post / humanism from Philip Dick to Denis Villeneuve
by: N. Krynytska
Published: (2019)

Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
by: Furukawa, T., et al.
Published: (2018)

Accurate approximated solution to the differential inclusion based on the ordinary differential equation
by: T. H. Nguyen
Published: (2021)

High-accurate in-flight calibration of the optical-electronic system of a spacecraft
by: A. I. Tkachenko
Published: (2021)

A radiometer for meteorological measurements with accurate calibration by the sky brightness temperature
by: V. A. Kabanov
Published: (2016)

Fast and accurate algorithm of 3D magnetic surfaces reconstruction in stellarators
by: Filippov, V., et al.
Published: (2018)