Extending the Four-Body Problem of Wolfes to Non-Translationally Invariant Interactions - IN2P3 - Institut national de physique nucléaire et de physique des particules
Article Dans Une Revue Few-Body Systems Année : 2013

Extending the Four-Body Problem of Wolfes to Non-Translationally Invariant Interactions

Résumé

We propose and solve exactly the Schrödinger equation of a bound quantum system consisting in four particles moving on a real line with both translationally invariant four particles interactions of Wolfes type [1] and additional non translationally invariant four-body potentials. We also generalize and solve exactly this problem in any D-dimensional space by providing full eigensolutions and the corresponding energy spectrum. We discuss the domain of the coupling constant where the irregular solutions becomes physically acceptable.

Dates et versions

in2p3-00740435 , version 1 (10-10-2012)

Identifiants

Citer

A. Bachkhaznadji, M. Lassaut. Extending the Four-Body Problem of Wolfes to Non-Translationally Invariant Interactions. Few-Body Systems, 2013, 54, pp.1945-1956. ⟨10.1007/s00601-013-0696-z⟩. ⟨in2p3-00740435⟩
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