Abstract Quasi-Exactly Solvable Schrödinger Equations occupy an intermediate place
between exactly-solvable (eg the harmonic oscillator and Coulomb problems, etc.) and non …

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 …

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 …

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 …

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 …

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 …

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] 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 …

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 …

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 …