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 …
Making sense of non-Hermitian Hamiltonians
CM Bender - Reports on Progress in Physics, 2007 - iopscience.iop.org
The Hamiltonian H specifies the energy levels and time evolution of a quantum theory. A
standard axiom of quantum mechanics requires that H be Hermitian because Hermiticity …
standard axiom of quantum mechanics requires that H be Hermitian because Hermiticity …
[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 …
Quasi-exactly solvable quartic potential
CM Bender, S Boettcher - Journal of Physics A: Mathematical and …, 1998 - iopscience.iop.org
A new two-parameter family of quasi-exactly solvable quartic polynomial potentials is
introduced. Heretofore, it was believed that the lowest-degree one-dimensional quasi …
introduced. Heretofore, it was believed that the lowest-degree one-dimensional quasi …
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 …
Exact solvability of superintegrable systems
P Tempesta, AV Turbiner, P Winternitz - Journal of Mathematical …, 2001 - pubs.aip.org
The purpose of this article is to establish a relation between two different concepts in
quantum mechanics: superintegrability and exact solvability. More specifically, we relate …
quantum mechanics: superintegrability and exact solvability. More specifically, we relate …
Quasi‐exactly solvable systems and orthogonal polynomials
This paper shows that there is a correspondence between quasi‐exactly solvable models in
quantum mechanics and sets of orthogonal polynomials {P n}. The quantum‐mechanical …
quantum mechanics and sets of orthogonal polynomials {P n}. The quantum‐mechanical …
Dirac fermions in Som–Raychaudhuri space-time with scalar and vector potential and the energy momentum distributions
The main object of the present paper is to investigate the Dirac equation (Dirac fermions) in
presence of scalar and vector potential in a class of flat Gödel-type space-time called Som …
presence of scalar and vector potential in a class of flat Gödel-type space-time called Som …
[图书][B] Itep Lectures On Particle Physics And Field Theory (In 2 Vols)
M Shifman - 1999 - books.google.com
For almost two decades Prof. Shifman, a clear and pedagogical expositor, has been giving
review lectures on frontier topics in theoretical high energy physics. This two-volume book is …
review lectures on frontier topics in theoretical high energy physics. This two-volume book is …
Hidden algebras of the (super) Calogero and Sutherland models
L Brink, A Turbiner, N Wyllard - Journal of Mathematical Physics, 1998 - pubs.aip.org
We propose to parametrize the configuration space of one-dimensional quantum systems of
N identical particles by the elementary symmetric polynomials of bosonic and fermionic …
N identical particles by the elementary symmetric polynomials of bosonic and fermionic …