Internal Structure of a Landau Quasi-Particle Wave Packet.
Abstract
Starting from the conventional definition of the state of a Fermi system containing a quasiparticle of momentum k, we construct a state with a quasiparticle wave packet (QPWP) by the usual superposition. We have studied the distributions of charges and currents in such a state to first order in the inter-particle interaction. The dressed QPWP state contains a charge e-bar which is less than the bare charge, e. (The charge e-bar is different from an incorrect value previously proposed on different grounds.) The remaining charges resides at infinity. In more dimensions than one, the charge density of the QPWP also contains anisotropic components that fall off as 1/r-cubed away from the center of the wave packet. Similar conclusions hold for the current density. We have verified that the continuity equation is satisfied at every point in space. The relationship of these results to the classical formal Landau theory is discussed. The Landau quasi particle distribution function, n(k,r), can not be interpreted in terms of the QPWP's defined here. Finally, experimental consequences of the work presented in this paper are briefly discussed.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 06, 1987
- Accession Number
- ADA177204
Entities
People
- Olle Heinonen
- Walter Kohn
Organizations
- University of California, Santa Barbara