INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION

SHI YI-JIN; HE YIN

Chinese Physics C> 1979, Vol. 3> Issue(4) : 418-431

INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION

SHI YI-JIN ,
HE YIN

Abstract
HTML
Reference
Related

PDF

Abstract：
Packet-like soliton solution of the non-linear Schrödinger's equation has been in-vestigated.We found that a state of a free particle can possibly be described by thissoliton solution,with the quantum property and the classical property of a particleas its limiting cases.A set of biorthogonal eigen-functions of non-hermitian opera-tor,which can be used in the pertubation expansion,has been found.We discoveredthat the discrete eigenvalue mode corresponds to the“classical”motion of a particle,and the continuous eigenvalue modes correspond to the“quantum”motion.Wesuggested that the parameter u describing the state of a system can be used to identifywhether the system is“quantum”or“classical”.

References

[1]

A. C. Seott. F. Y. F. Chu and D. W. Mclaughlin, Proceedings of the IEEE, 60 (1973), 1443.[2] K. Izumo and K. Konno, Proceedings of the International Conference on Nuclear, Structure, Coutribution Papers, Tokyo (1977), p. 779.[3] L. D. Landay and E. M. Lifshitz in "Quantum Mechanics" Oxford, London: PergamonPress Ltd. 1962, p. 69.[4] M. Morse and Feshbach in "Methods of Theoretical Physics" Vol. 1. N, Y., London,McGrow-Hill Book Company, 1953.

Access

Get Citation

SHI YI-JIN and HE YIN. INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION[J]. Chinese Physics C, 1979, 3(4): 418-431.

SHI YI-JIN and HE YIN. INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION[J]. Chinese Physics C, 1979, 3(4): 418-431. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1978-04-17
Revised: 1900-01-01

Article Metric

Article Views(2750)
PDF Downloads(244)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION

SHI YI-JIN
HE YIN

Received Date: 1978-04-17
Accepted Date: 1900-01-01
Available Online: 1979-08-05

Abstract: Packet-like soliton solution of the non-linear Schrödinger's equation has been in-vestigated.We found that a state of a free particle can possibly be described by thissoliton solution,with the quantum property and the classical property of a particleas its limiting cases.A set of biorthogonal eigen-functions of non-hermitian opera-tor,which can be used in the pertubation expansion,has been found.We discoveredthat the discrete eigenvalue mode corresponds to the“classical”motion of a particle,and the continuous eigenvalue modes correspond to the“quantum”motion.Wesuggested that the parameter u describing the state of a system can be used to identifywhether the system is“quantum”or“classical”.