1995/03/17 by A. O. Caldeira, A. H. Castro Neto
Mathematics · Physics and Astronomy · #Boson #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Degrees of freedom (physics and chemistry) #Dimension (graph theory) #Fermion #Hamiltonian (control theory) #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum, superfluid, helium dynamics #Semiclassical physics #TRACE (psycholinguistics) #Unitary state #Unitary transformation #cond-mat
paper · pdf · doi:10.1103/physrevb.52.4198
28 pages, RevteX, 3 figures
arxiv created 1995/03/17 · openalex publication_date 1995/08/01 · openalex created_date 2016/06/24 · arxiv updated 2016/08/31 · openalex updated_date 2026/08/05
Making use of a simple unitary transformation we change the Hamiltonian of a particle coupled to a one-dimensional gas of bosons or fermions to a new form from which the many-body degrees of freedom can be easily eliminated by taking the trace. The effective dynamics of the particle allows us to compute its damping constant in the semiclassical approximation in terms of the reflection coefficient of the interaction potential and the occupation number of the environmental particles. We apply our results to a delta-function repulsive potential.