Coherent States for Supersymmetric Partners of the Infinite Well

[摘要] We define linear and quadratic coherent states for the supersymmetric partners of the quantum infinite well through formal series expansions of the energy eigenfunctions of the systems and we study the appropriateness of this definitions as coherent states by means of their properties. In particular, we examine the localization in position and time evolution, minimum uncertainty relations and the behavior of the Wigner function.

[发布机构] Département de Mathématiques et de Statistique, Université de Montréal, C. P. 6128, Succ. Centre-ville, Montréal; QC; H3C 3J7, Canada^1;Centre de Recherches Mathématiques, Université de Montréal, C. P. 6128, Succ. Centre-ville, Montréal; QC; H3C 3J7, Canada^2;Departamento de Física, Cinvestav, A.P. 14-740, México City; 07000, Mexico^3

[关键词] Coherent state;Energy eigenfunctions;Formal series;Time evolutions;Uncertainty relation;Wigner functions