论文标题
从广义动量运算符中的相对论环境中的摩尔斯潜力,北京近似和映射
Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping
论文作者
论文摘要
在这项工作中,我们探讨了Dirac和Klein-Gordon(kg)振荡器的概括,并提供了在非文本统计中灵感的变形线性动量,这使莫尔斯通过第一原理在相对论环境中的潜力占有一席之地。在(1+1)维情况下,相对论振荡器被映射到量子摩尔斯电位中。 Using the Pekeris approximation, in the (3+1)-dimensional case we study the thermodynamics of the S-waves states (l=0) of the H2, LiH, HCl and CO molecules (in the non-relativistic limit) and of a relativistic electron, where Schottky anomalies (due to the finiteness of the Morse spectrum) and spin contributions to the heat capacity are reported.通过重新访问广义的北京近似值,我们提供了从(3+1)维dirac和kg方程的映射,具有球形的潜在到相关的一维schrödinger方程,并获得了与非微调couplingschrödinger方程相通用的潜在的潜力家族。
In this work we explore a generalization of the Dirac and Klein-Gordon (KG) oscillators, provided with a deformed linear momentum inspired in nonextensive statistics, that gives place to the Morse potential in relativistic contexts by first principles. In the (1+1)-dimensional case the relativistic oscillators are mapped into the quantum Morse potential. Using the Pekeris approximation, in the (3+1)-dimensional case we study the thermodynamics of the S-waves states (l=0) of the H2, LiH, HCl and CO molecules (in the non-relativistic limit) and of a relativistic electron, where Schottky anomalies (due to the finiteness of the Morse spectrum) and spin contributions to the heat capacity are reported. By revisiting a generalized Pekeris approximation, we provide a mapping from (3+1)-dimensional Dirac and KG equations with a spherical potential to an associated one-dimensional Schrödinger-like equation, and we obtain the family of potentials for which this mapping corresponds to a Schrödinger equation with non-minimal coupling.