Free Schrodinger equation analyzed in terms of the wave equation

Bibliographic Details
Parent link:Soviet Physics Journal: Scientific Journal
Vol. 33, iss. 7.— 1990.— [P. 600-604]
Main Author: Bagrov V. G. Vladislav Gavriilovich
Other Authors: Samsonov B. F., Shapovalov A. V. Aleksandr Vasilyevich
Summary:Title screen
The free time-dependent Schrodinger equation in three-dimensional space is analyzed as a special case of the wave equation in five-dimensional spacetime. This approach transforms the separation of variables in the parabolic Schrodinger equation into the separation of variables in a nonparabolic equation. Then one can solve the problem using the last theorem of V. N. Shapovalov (see Differents. Uravn., No. 10, 1864 (1980)) on the necessary and sufficient conditions for the complete separation of variables. Other advantages of this approach are also discussed
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Language:English
Published: 1990
Subjects:
Online Access:http://dx.doi.org/10.1007/BF00899111
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636649