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 …
[图书][B] Fundamentals of shallow water acoustics
B Katsnelson, V Petnikov, J Lynch - 2012 - Springer
Shallow water acoustics (SWA), the study of how low and medium frequency sound
propagates and scatters on the continental shelves of the worlds oceans, has both technical …
propagates and scatters on the continental shelves of the worlds oceans, has both technical …
[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-electron molecular systems in a strong magnetic field
AV Turbiner, JCL Vieyra - Physics reports, 2006 - Elsevier
This review paper is inspired by a recent discovery by Chandra X-ray observatory of two
absorption features in the spectra of radiation of the isolated neutron star 1E1207. 4-5209 …
absorption features in the spectra of radiation of the isolated neutron star 1E1207. 4-5209 …
Nonstandard expansion techniques for the effective potential in λ quantum field theory
A Okopińska - Physical Review D, 1987 - APS
The effective potential in scalar quantum field theory is calculated using different expansions
of the path integral for the generating functional. The conventional loop expansion is …
of the path integral for the generating functional. The conventional loop expansion is …
[图书][B] Asymptotical mechanics of thin-walled structures
IV Andrianov, J Awrejcewicz, LI Manevitch - 2013 - books.google.com
In this book a detailed and systematic treatment of asymptotic methods in the theory of plates
and shells is presented. The main features of the book are the basic principles of …
and shells is presented. The main features of the book are the basic principles of …
Analytic continuation of eigenvalue problems
CM Bender, A Turbiner - Physics Letters A, 1993 - Elsevier
In this paper we consider the dependence of Schrödinger equation eigenvalue problems on
the coupling-constant parameters in the potential. We show that unless great care is taken …
the coupling-constant parameters in the potential. We show that unless great care is taken …
[图书][B] Shallow water acoustics
BG Katsnelson, VG Petnikov - 2002 - books.google.com
"[The] physical insight and presentation in this volume made it a pleasure to read... I would
heartily recommend this book to any researcher or graduate student working in shallow …
heartily recommend this book to any researcher or graduate student working in shallow …
[图书][B] Asymptotology: ideas, methods, and applications
IV Andrianov, LI Manevitch - 2002 - books.google.com
Asymptotic methods belong to the, perhaps, most romantic area of modern mathematics.
They are widely known and have been used in me chanics, physics and other exact …
They are widely known and have been used in me chanics, physics and other exact …
Anharmonic oscillator: a solution
AV Turbiner, JC del Valle - Journal of Physics A: Mathematical …, 2021 - iopscience.iop.org
It is shown that for the one-dimensional quantum anharmonic oscillator with potential V (x)=
x 2+ g 2 x 4 the perturbation theory (PT) in powers of g 2 (weak coupling regime) and the …
x 2+ g 2 x 4 the perturbation theory (PT) in powers of g 2 (weak coupling regime) and the …