Published 1990 | Version v1
Journal article Metadata-only

1/n expansion and wave functions

Creators

  • 1. Moskovskij Inzhenerno-Fizicheskij Inst., Moscow (USSR)
  • 2. Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Moscow (USSR). Inst. Teoreticheskoj i Ehksperimental'noj Fiziki

Description

Asymptotically exact (at l→∞) formulas for the wave functions are obtained. The formulas are valid for an arbitrary smooth potential V(r) including asymptotic coefficients at zero and at infinity. The accuracy of the formulas is studied for small quantum numbers. It is shown that for potentials commonly used in physics the accuracy is of about a few per cent even for the ground state (except for low-energy levels in short-range potentials)

Additional details

Additional titles

Original title (Russian)
1/н-разложение и волновые функции

Publishing Information

Journal Title
Yadernaya Fizika
Journal Volume
51
Journal Issue
2
Series
Yad. Fiz.
Journal Page Range
390-396
ISSN
0044-0027
CODEN
IDFZA

INIS

Country of Publication
Russian Federation
Country of Input or Organization
USSR
INIS RN
22052588
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; GROUND STATES; HULTHEN POTENTIAL; INTERACTION RANGE; NUMERICAL SOLUTION; QUANTUM NUMBERS; SCHROEDINGER EQUATION; SERIES EXPANSION; WAVE FUNCTIONS; YUKAWA POTENTIAL
Descriptors DEC
DIFFERENTIAL EQUATIONS; DISTANCE; ENERGY LEVELS; EQUATIONS; FUNCTIONS; NUCLEAR POTENTIAL; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; WAVE EQUATIONS