# Bound states of four-body quantum problem of Wolfes type

Abstract : This work is devoted to the study of a particular four-body quantum problem of Wolfes type on the line \cite{Wolf74}. We solve the corresponding Schrödinger equation in an harmonic confinement for the particles where we provide the full eigensolutions and corresponding eigenenergies. We discuss also the domain of the coupling constant where the irregular solution becomes physically acceptable. Finally, we extend the problem to $D$-dimensional space.
Type de document :
Pré-publication, Document de travail
14 pages. 2012
Domaine :

http://hal.in2p3.fr/in2p3-00740435
Contributeur : Sophie Heurteau <>
Soumis le : mercredi 10 octobre 2012 - 11:14:49
Dernière modification le : mercredi 4 janvier 2017 - 16:19:22

### Identifiants

• HAL Id : in2p3-00740435, version 1
• ARXIV : 1207.2933

### Citation

A. Bachkhaznadji, M. Lassaut. Bound states of four-body quantum problem of Wolfes type. 14 pages. 2012. <in2p3-00740435>

### Métriques

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