Exact and numerical study of the effective hopping of a particle interacting with a fermionic bath in one dimension
- 1 April 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 37 (10) , 5045-5049
- https://doi.org/10.1103/physrevb.37.5045
Abstract
We present an exact solution for the effective hopping of a particle interacting with spinless fermions of the same mass using the Bethe-ansatz method. We extend the study to interacting fermions by a numerical study on finite-size lattices and discuss its range of validity. We demonstrate the correspondence of the Bethe-ansatz collective excitation to the particle motion.Keywords
This publication has 12 references indexed in Scilit:
- Quantum tunnelling in a dissipative systemPublished by Elsevier ,2004
- Application of the Orthogonality Theorem to the Motion of a Charged Particle in Metals. IIProgress of Theoretical Physics, 1986
- Bosonization of a two-level system with dissipationPhysical Review B, 1985
- An improved computer program for eigenvectors and eigenvalues of large configuration interaction matrices using the algorithm of DavidsonComputers & Chemistry, 1984
- Diffusion and Localization in a Dissipative Quantum SystemPhysical Review Letters, 1983
- Application of the Orthogonality Theorem to the Motion of a Charged Particle in MetalsProgress of Theoretical Physics, 1983
- Ground-state and low-lying excitations of the periodic Anderson Hamiltonian in one dimension from finite-cell calculationsPhysical Review B, 1982
- Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One DimensionPhysical Review Letters, 1968
- Un systeme a une dimension de fermions en interactionPhysics Letters A, 1967
- Interacting Fermions in One Dimension. I. Repulsive PotentialJournal of Mathematical Physics, 1965