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Title Transcription
サンタイ モンダイ ニオケル カイテン ヘンスウ ノ ブンリ
Title Alternative
Separation of the Rotational Coordinates in the Three Body Problem
File
language
eng
Author
Munakata, Yasuo
Description
For the quantum mechanical three body problem with central potentials, separation of the rotational coordinates is performed systematically. We treat two particles in a symmeric way to apply Pauli princrple for the case of eidentical fermions. We construct a complete set of commuting observables, L^2, the total angular momentum, M, its z-component and N, the component around the normal through the third particle to the plane including three particles K_1, K_2 and N form three components of L in the body fixed moving frame. Single particle operators are expressed in compact forms by those operators. Thus, the separation procedure is simplified than hitherto known one. For the case of equal masses and L = O, a simple and symmetrical equation is derived.
Journal Title
Memoirs of the Faculty of Science, Shimane University
Volume
15
Start Page
29
End Page
42
ISSN
03879925
Published Date
1981-12-20
NCID
AN00108106
Publisher
島根大学理学部
Publisher Aalternative
The Faculty of Science, Shimane University
NII Type
Departmental Bulletin Paper
OAI-PMH Set
Faculty of Science and Engineering