Newton's law for a trajectory of concentration of solutions to nonlinear Schrodinger equation

Abstract

One of important problems in mathematical physics concerns derivation of point dynamics from field equations. The most common approach to this problem is based on WKB method. Here we describe a different method based on the concept of trajectory of concentration. When we applied this method to nonlinear Klein-Gordon equation, we derived relativistic Newton's law and Einstein's formula for inertial mass. Here we apply the same approach to nonlinear Schrodinger equation and derive non-relativistic Newton's law for the trajectory of concentration.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,503

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

Linear and nonlinear Schrödinger equations.G. Adomian & R. Rach - 1991 - Foundations of Physics 21 (8):983-991.
From Time Inversion to Nonlinear QED.Wei Min Jin - 2000 - Foundations of Physics 30 (11):1943-1973.
Classification of exactly solvable potential problems.Haluk Beker - 1993 - Foundations of Physics 23 (5):851-856.
A Fundamental Form of the Schrodinger Equation.Muhammad Adeel Ajaib - 2015 - Foundations of Physics 45 (12):1586-1598.
Randomness in Classical Mechanics and Quantum Mechanics.Igor V. Volovich - 2011 - Foundations of Physics 41 (3):516-528.
Small data scattering for nonlinear Schrödinger wave and Klein-Gordon equations.Makoto Nakamura & Tohru Ozawa - 2002 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 1 (2):435-460.

Analytics

Added to PP
2017-03-08

Downloads
2 (#1,798,685)

6 months
1 (#1,479,630)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references