Quantum scattering in quasi-one-dimensional cylindrical confinement

作     者：J. I. Kim J. Schmiedmayer P. Schmelcher 

作者机构：Physikalisches Institut Universität Heidelberg Philosophenweg 12 69120 Heidelberg Germany Theoretische Chemie Institut für Physikalische Chemie Universität Heidelberg Im Neuenheimer Feld 229 69120 Heidelberg Germany 

出 版 物：《Physical Review A》 (物理学评论A辑：原子、分子和光学物理学)

年 卷 期：2005年第72卷第4期

页      面：042711-042711页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

主　　题：TONKS-GIRARDEAU GAS IMPENETRABLE BOSONS NEUTRAL ATOMS TRAPPED GASES WAVE-GUIDES TRANSMISSION REFLECTION OBSTACLE OPTICS WIRES 

摘      要：Finite-size effects not only alter the energy levels of small systems, but can also lead to additional effective interactions within these systems. Here the problem of low-energy quantum scattering by a spherically symmetric short-range potential in the presence of a general cylindrical confinement is investigated. A Green’s function formalism is developed which accounts for the full three-dimensional (3D) nature of the scattering potential by incorporating all phase shifts and their couplings. This quasi-1D geometry gives rise to scattering resonances and weakly localized states, whose binding energies and wave functions can be systematically calculated. Possible applications include, e.g., impurity scattering in ballistic quasi-1D quantum wires in mesoscopic systems and in atomic matter-wave guides. In the particular case of parabolic confinement, the present formalism can also be applied to pair collision processes such as two-body interactions. Weakly bound pairs and quasimolecules induced by the confinement and having zero or higher orbital angular momentum can be predicted, such as p- and d-wave pairings.