Feshbach P-Q partitioning technique and the two-component Dirac equation

Da Wei Luo, P. V. Pyshkin, Ting Yu, Hai Qing Lin, J. Q. You, Lian Ao Wu

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We provide an alternative approach to relativistic dynamics based on the Feshbach projection technique. Instead of directly studying the Dirac equation, we derive a two-component equation for the upper spinor. This approach allows one to investigate the underlying physics in a different perspective. For particles with small mass such as the neutrino, the leading-order equation has a Hermitian effective Hamiltonian, implying there is no leakage between the upper and lower spinors. In the weak relativistic regime, the leading order corresponds to a non-Hermitian correction to the Pauli equation, which takes into account the nonzero possibility of finding the lower-spinor state and offers a more precise description.

Original languageEnglish
Article number032111
JournalPhysical Review A
Volume94
Issue number3
DOIs
StatePublished - 13 Sep 2016

Fingerprint

Dive into the research topics of 'Feshbach P-Q partitioning technique and the two-component Dirac equation'. Together they form a unique fingerprint.

Cite this