论文标题
gödel-type som-raychaudhuri宇宙弦的时空和时空相关脱生的现象
Klein-Gordon particles in Gödel-type Som-Raychaudhuri cosmic string spacetime and the phenomenon of spacetime associated degeneracies
论文作者
论文摘要
我们认为，只有针对基本模型的精确，全面和明确的解决方案，Klein-Gordon（KG）振荡器和KG-Coulomb，将有助于了解引力场对这种量子机械系统动力学的影响。在当前有条不紊的建议中，研究并报告了GODEL型Som-raychaudhuri（SR）宇宙弦弦的引力场对KG振荡器（一般而言）的影响。这样一来，我们在拓扑的gödel-type时空背景中重新访问KG振荡器，并使用教科书程序报告其精确解决方案，该解决方案涵盖了均匀且奇怪的平等。接下来，我们讨论与功率系列扩展方法相关的缺点，该方法暗示了双曲线HEUN函数/多项式解决方案。因此，我们回忆起所谓的伪扰动转移的L扩展技术（PSLET）作为一种替代性和更复杂的方法/技术。 Illustrative examples are used: (i) a KG-oscillator in a topologically trivial Gödel-type spacetime, (ii) a quasi-free KG-oscillator in Gödel SR-type cosmic string spacetime, (iii) a KG-Coulombic particle in Gödel SR-type cosmic string spacetime at zero vorticity, and (iv) a massless GödelSr型宇宙弦弦的kg粒子在康奈尔型洛伦兹标量电势中。相应的精确能量是从Zeroth（前导）阶校正获得的，其中所有高阶校正都相同消失。所报告溶液的全面精确性显然表明与时空（Stad）现象相关的退化性。
We argue that only exact, comprehensive, and explicit solutions for the fundamental models, the Klein-Gordon (KG) oscillators and the KG-Coulomb, would help to understand the effects of gravitational fields on the dynamics of such quantum mechanical systems. In the current methodical proposal, the effects of the gravitational fields generated by a Gödel-type Som-Raychaudhuri (SR) cosmic string spacetime on KG-oscillators (KG-particles in general) are studied and reported. In so doing, we revisit the KG-oscillators in a topologically trivial Gödel-type spacetime background and use textbook procedures to report its exact solution that covers even and odd parities. Next, we discuss the drawbacks associated with the power series expansion approach that implies the biconfluent Heun functions/polynomials solution. We, therefore, recollect the so called pseudo perturbative shifted L expansion technique (PSLET) as an alternative and more sophisticated method/technique. Illustrative examples are used: (i) a KG-oscillator in a topologically trivial Gödel-type spacetime, (ii) a quasi-free KG-oscillator in Gödel SR-type cosmic string spacetime, (iii) a KG-Coulombic particle in Gödel SR-type cosmic string spacetime at zero vorticity, and (iv) a massless KG-particle in Gödel SR-type cosmic string spacetime in a Cornell-type Lorentz scalar potential. The corresponding exact energies are obtained from the zeroth (leading) order correction of PSLET, where all higher order correction identically vanish. The comprehensive exactness of the reported solutions manifestly suggest degeneracies associated with spacetime (STAD) phenomenon.
