Construction of coherent states for Morse potential: A su(2)-like approach

A complete set of eigenstates for position-dependent massive particles in a Morse-like scenario

In this work we analyze a system consisting in two-dimensional position-dependent massive particles in the presence of a Morse-like potential in two spatial dimensions. We obtain the exact wavefunctions and energies for a complete set of eigenstates for a given dependence of the mass with the spatial variables.

非阿贝尔场上同调及其与自发对称破缺和莫尔斯定理的关系

Non-abelian field cohomology, its relation with spontaneous symmetry breaking and Morse's Theorem

研究非阿贝尔场上同调与自发对称破缺的关系，通过莫尔斯定理提出可重整化单位ary规范固定方法，解决格里博夫问题。

Morse potential in relativistic contexts from generalized momentum operator, Pekeris approximation revisited and mapping

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 anomalie…

Rosen-Morse势与引力kink

Rosen-Morse potential and gravitating kinks

本文提出在具有非规范动能项的二维dilaton-gravity-scalar模型中构造kink解，其线性微扰方程对应Rosen-Morse势，发现该势可反射或无反射，且始终缺失零模式。

双重特殊相对论中的广义克莱因-戈登振子：一种复化莫尔斯相互作用

The Generalized Klein--Gordon Oscillator in Doubly Special Relativity: A Complexified Morse Interaction

本文在双重特殊相对论框架下，研究了广义克莱因-戈登振子的复化莫尔斯相互作用，并给出了闭式能量分支。

Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional spacetime

The intrinsically relativistic problem of spinless particles subject to a general mixing of vector and scalar kink-like potentials ($\sim \mathrm{tanh} ,γx$) is investigated. The problem is mapped into the exactly solvable Surm-Liouville problem with the Rosen-Morse potential and exact bounded solutions for particles and antiparticles are found. The behaviour of the spectrum is discussed in some detail. An apparent paradox concerning the uncertainty principle is solved by recurring to the concept of effective Compton wavelength.