Squeezing-Displacement Dynamics for One-Dimensional Potential Well with Two Mobile Walls where Wavefunctions Vanish

Hong-Yi Fan, Hao Wu

Fan Hong‐Yi, Junhua Chen, Tongtong Wang

We show that the dynamics for a particle confined in a one-dimensional potential well with two mobile boundaries where wavefunctions vanish can be converted to the case as if the boundary was time-independent at the expense of an appropriate time-dependent Hamiltonian. The squeezing-displacement operator can be derived, and the corresponding Hamiltonian is determined by the situation of mobile boundaries.

Ilaria Cacciari, Paolo Moretti

Akira Igarashi, Hiroaki S. Yamada

Boutheina Boutabia-Chéraitia, Abdenacer Makhlouf

Abstract In this article, we study a relativistic DKP particle in a one-dimensional box. We prove that it is impossible that the wavefunction vanishes completely at the box walls and provides various boundary conditions for this problem.

O A Fojón, Manuel Gadella, Luis Pedro Lara