Confinement limit of Dirac particles in scalar one-dimensional potentials
نویسندگان
چکیده
منابع مشابه
SADDLE POINT VARIATIONAL METHOD FOR DIRAC CONFINEMENT
A saddle point variational (SPV ) method was applied to the Dirac equation as an example of a fully relativistic equation with both negative and positive energy solutions. The effect of the negative energy states was mitigated by maximizing the energy with respect to a relevant parameter while at the same time minimizing it with respect to another parameter in the wave function. The Cornell pot...
متن کاملSolution of the one-dimensional Dirac equation with a linear scalar potential
We solve the Dirac equation in one space dimension for the case of a linear, Lorentz-scalar potential. This extends earlier work of Bhalerao and Ram [Am. J. Phys. 69 (7), 817-818 (2001)] by eliminating unnecessary constraints. The spectrum is shown to match smoothly to the nonrelativistic spectrum in a weak-coupling limit. 3.65.Pm, 3.65.Ge Typeset using REVTEX 1
متن کاملPotentials for One - Dimensional
We discuss restrictions of two-dimensional translation-invariant Gibbs measures to a one-dimensional layer. We prove that there exists a translation invariant a.s. absolutely convergent potential making these restrictions into weakly Gibbsian measures. We discuss the existence of the thermodynamic functions for this potential and the variational principle for the weakly Gibbsian measures.
متن کاملDelocalization of relativistic dirac particles in disordered one-dimensional systems and its implementation with cold atoms.
We study theoretically the localization of relativistic particles in disordered one-dimensional chains. It is found that the relativistic particles tend to delocalization in comparison with the nonrelativistic particles with the same disorder strength. More intriguingly, we reveal that the massless Dirac particles are entirely delocalized for any energy due to the inherent chiral symmetry, lead...
متن کاملBaryonlike and mesonlike solitons in a one-dimensional Dirac model of extended particles.
A version in 1+1 dimensions of a recently proposed model of an extended particle with confined constituents is presented. Several constitutive spinors, considered as classical c numbers, interact through a vector coupling. There are no solutions in which only one field is nonvanishing, because each of them acts as a source of the rest, so that they cannot be separated in any way. This gives a m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2009
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.79.044101