One particle equations for many particle quantum systems: The MCTHDF method

One particle equations for many particle quantum systems : the MCTHDF method

This contribution is devoted to the mathematical analysis of more or less sophisticated approximations of the time evolution of systems of N quantum particles. New results for the Multiconfiguration Time Dependent Hartree Fock (MCTDHF) method (which cover the material of the talk given by the first author at the “Non linear waves conference in honor of Walter Strauss”) are summarized and compar...

Kinetic Equations for Quantum Many-Particle Systems

Lévy distribution in many-particle quantum systems

The Lévy distribution, previously used to describe complex behavior of classical systems, is shown to characterize that of quantum many-body systems. Using two complimentary approaches, the canonical and grandcanonical formalisms, we discovered that the momentum profile of a Tonks-Girardeau gas—a one-dimensional gas of N impenetrable (hard-core) bosons–harmonically confined on a lattice at fini...

Unified theory of quantum many-particle systems

Using eigen-functional bosonization method, we study quantum manyparticle systems, and show that the quantum many-particle problems end in to solve the differential equation of the phase fields which represent the particle correlation strength. Thus, the physical properties of these systems are completely determined by the differential equation of the phase fields. We mainly focus on the study ...

The FermiFab toolbox for fermionic many-particle quantum systems

Article history: Received 22 August 2010 Received in revised form 16 January 2011 Accepted 24 January 2011 Available online 24 February 2011