Use of the Lorentz-operator in relativistic quantum mechanics to guarentee a single-energy root
- LLNL
The Lorentz-operator form of relativistic quantum mechanics, with relativistic wave equation i{h_bar}{partial_derivative}{psi}/{partial_derivative}t=(mc{sup 2}{gamma}+e{Phi}){psi}, is implemented to guarantee a single-energy root. The Lorentz factor as modified by Pauli's ansatz is given by {gamma}={radical}1+[{rvec {sigma}}{center_dot}(i{h_bar}{rvec {del}}+(e/c){rvec A})]{sup 2}/m{sup 2}c{sup 2}, such that the theory is appropriate for electrons. Magnetic fine structure in the Lorentz relativistic wave equation emerges on the use of an appropriate operator form of the Lienard-Wiechert four- potential ({Phi},{rvec A}) from electromagnetic theory. Although computationally more intensive the advantage of the theory is the elimination of the negative-root of the energy and an interpretation of the wave function based on a one-particle, positive definite probability density like that of nonrelativistic quantum mechanics.
- Research Organization:
- Lawrence Livermore National Laboratory, Livermore, CA
- Sponsoring Organization:
- USDOE Office of Defense Programs (DP)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 3846
- Report Number(s):
- UCRL-ID-132202; DP0102011; ON: DE00003846
- Country of Publication:
- United States
- Language:
- English
Similar Records
Orbital Angular Momentum on the Light-Front and QCD Observables
Transmission of conduction electrons through a symmetric pair of delta-barriers or delta-wells embedded in a semiconductor or a metal
Lorentz covariant treatment of the Kerr--Schild geometry
Technical Report
·
Thu Mar 09 23:00:00 EST 2006
·
OSTI ID:877429
Transmission of conduction electrons through a symmetric pair of delta-barriers or delta-wells embedded in a semiconductor or a metal
Journal Article
·
Sat Nov 30 23:00:00 EST 1996
· Journal of Mathematical Physics
·
OSTI ID:402309
Lorentz covariant treatment of the Kerr--Schild geometry
Journal Article
·
Sun Nov 30 23:00:00 EST 1975
· J. Math. Phys. (N.Y.), v. 16, no. 12, pp. 2385-2390
·
OSTI ID:4155936