TY - JOUR
T1 - Feshbach P-Q partitioning technique and the two-component Dirac equation
AU - Luo, Da Wei
AU - Pyshkin, P. V.
AU - Yu, Ting
AU - Lin, Hai Qing
AU - You, J. Q.
AU - Wu, Lian Ao
N1 - Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/9/13
Y1 - 2016/9/13
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevA.94.032111
DO - 10.1103/PhysRevA.94.032111
M3 - Article
AN - SCOPUS:84989229012
SN - 2469-9926
VL - 94
JO - Physical Review A
JF - Physical Review A
IS - 3
M1 - 032111
ER -