Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento

On the Schrödinger equation for a perturbation problem

Snehlata Kalia, L. M. Bali, Saket Kumar Roy

Published Mar 1, 1980• 0 citations
Publisher
DOI
10.1007/bf02817193

Related papers

Comment on the operator method and perturbational solution of the Schrödinger equation

Francisco Marcelo Fernández, Eduardo Alberto Castro

Physics Letters A•Sep 1, 1982•19 citations

The Feynman-Schrödinger equation and the method of statistical perturbations

Iosif G. Dyadkin

USSR Computational Mathematics and Mathematical Physics•Jan 1, 1968•0 citations

Modified Schrödinger equation, its analysis and experimental verification

Isaac Shnaid

According to classical non-relativistic Schrödinger equation, any local perturbation of wave function instantaneously affects all infinite region, because this equation is of parabolic type, and its solutions demonstrate infinite speed of perturbations propagation. From physical point of view, this feature of Schrödinger equation solutions is questionable. According to relativistic quantum mechanics, the perturbations propagate with speed of light. However when appropriate mathematical procedures are applied to Dirac relativistic quantum equation with finite speed of the wave function perturbations propagation, only classical Schrödinger equation predicting infinite speed of the wave function perturbations propagation is obtained. Thus, in non-relativistic quantum mechanics the problem persists. In my work modified non-relativistic Schrödinger equation is formulated. It is also of parabolic type, but its solutions predict finite speed of the wave function perturbations propagation. Properties of modified Schrödinger equation solutions are studied. I show that results of classical Davisson-Germer experiments with electron waves diffraction support developed theoretical concept of modified Schrödinger equation, and predict that speed of the wave function perturbations propagation has order of magnitude of speed of light.

arXiv:1202.1321•Feb 7, 2012•1 citation

On the Non-Linear Schrödinger Equation

A.B. Datzeff

Springer eBooks•Jan 1, 1985•0 citations

Approximation Methods I: Time-Independent Perturbation Theory

S. Rajasekar, R. Velusamy

The starting point in a quantum mechanical problem is the construction of a Schrödinger equation. A Schrödinger equation is exactly solvable only for a certain number of simple potentials. In most of the cases the Schrödinger equation can be solved exactly. The solution of the Schrödinger equation for the real systems is usually complicated and often exact solutions. The perturbation theory has been proven to be useful in several fields of theoretical physics and also in chemistry. It provides considerable insight into various phenomena. The main disadvantage of this method is that in certain problems the perturbation series converges slowly or diverges. The splitting of an energy level due to the interaction of the nuclear magnetic dipole and the magnetic field Be produced by the electron orbit current is called the fine structure. The term hyperfine structure is used to describe extremely small splitting of spectral lines.

CRC Press eBooks•Sep 29, 2022•0 citations

More on the Schrödinger Equation

Jochen Pade

Undergraduate lecture notes in physics•Nov 7, 2013•0 citations
According to classical non-relativistic Schrödinger equation, any local perturbation of wave function instantaneously affects all infinite region, because this equation is of parabolic type, and its solutions demonstrate infinite speed of perturbations propagation. From physical point of view, this feature of Schrödinger equation solutions is questionable. According to relativistic quantum mechanics, the perturbations propagate with speed of light. However when appropriate mathematical procedures are applied to Dirac relativistic quantum equation with finite speed of the wave function perturbations propagation, only classical Schrödinger equation predicting infinite speed of the wave function perturbations propagation is obtained. Thus, in non-relativistic quantum mechanics the problem persists. In my work modified non-relativistic Schrödinger equation is formulated. It is also of parabolic type, but its solutions predict finite speed of the wave function perturbations propagation. Properties of modified Schrödinger equation solutions are studied. I show that results of classical Davisson-Germer experiments with electron waves diffraction support developed theoretical concept of modified Schrödinger equation, and predict that speed of the wave function perturbations propagation has order of magnitude of speed of light.
The starting point in a quantum mechanical problem is the construction of a Schrödinger equation. A Schrödinger equation is exactly solvable only for a certain number of simple potentials. In most of the cases the Schrödinger equation can be solved exactly. The solution of the Schrödinger equation for the real systems is usually complicated and often exact solutions. The perturbation theory has been proven to be useful in several fields of theoretical physics and also in chemistry. It provides considerable insight into various phenomena. The main disadvantage of this method is that in certain problems the perturbation series converges slowly or diverges. The splitting of an energy level due to the interaction of the nuclear magnetic dipole and the magnetic field Be produced by the electron orbit current is called the fine structure. The term hyperfine structure is used to describe extremely small splitting of spectral lines.