Publications

Systèmes à petit nombre de corps

A new lower bound on 4-body ground-state energies has been derived in terms of two-body binding energies in the unequal mass case. For simple power-law potentials, this bound is...

ISN-RA--96-97, Éditeur Inst. des Sciences Nucléaires, Grenoble-1 Univ., 38 (France) - 1-4 - 15/03/1997

http://www.iaea.org/inis/collection/NCLCollectionStore/_Public/30/020/30020587.pdf

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Exactly Solvable N -Body Quantum Systems with N = 3^k ( k ≥ 2 ) in the D = 1 Dimensional Space

We study the exact solutions of a particular class of N confined particles of equal mass, with N = 3^k (k = 2, 3,...), in the D = 1 dimensional space. The particles are clustered...

Few-Body Systems, Volume 57, Numéro 9, Springer Vienna - pp 773–7 - 01/09/2016

DOI: 10.1007/s00601-016-1107-z

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Solvable Few-Body Quantum Problems

This work is devoted to the study of some exactly solvable quantum problems of four, five and six bodies moving on the line. We solve completely the corresponding stationary...

Few-Body Systems, Volume 56, Numéro1, Springer Vienna - pp 1–17 - 01/01/2015

DOI: 10.1007/s00601-014-0924-1

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Extending the four-body problem of Wolfes to non-translationally invariant interactions

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...

Few-Body Systems, Volume 54, Issue 11, Springer Vienna - pp 1945– - 01/11/2013

DOI: 10.1007/s00601-013-0696-z

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A study of new solvable few body problems

We study new solvable few body problems consisting of generalizations of the Calogero and the Calogero–Marchioro–Wolfes three-body problems, by introducing non-translationally...

Journal of Physics A: Mathematical and Theoretical, Volume 42, Number 6 - 065301 ( - 14/01/2009

http://iopscience.iop.org/1751-8121/42/6/065301

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A model of the Calogero type in the D-dimensional space

In a previous paper, we have proposed a new integrable Hamiltonian describing two interacting particles in a harmonic mean field in D = 1 dimensional space. Here, we generalize...

Journal of Physics A: Mathematical and Theoretical, Journal of Physics A: Mathematical and Theoreti - 8791-880 - 12/07/2007

http://iopscience.iop.org/article/10.1088/1751-8113/40/30/012/meta

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Optimized lower bound for four-body Hamiltonians

Generalizing a method elaborated for three-body systems, we derive a new lower bound on four-body ground-state energies in terms of two-body binding energies in the unequal-mass...

Few-Body Systems, Springer-Verlag/Wien 1998 - 39-54 - 11/05/1998

DOI: 10.1007/s006010050075

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