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Discrete basis of localized quantum states for the free particle
Discrete basis localized quantum states free particle
2010/11/8
An infinite discrete series of solutions of the free Schr\"odinger equation in one dimension is constructed. These solutions are normalizable, expand the whole space of solutions, are spatially multi-...
Klein tunneling in carbon nanostructures: a free particle dynamics in disguise
Klein tunneling carbon nanostructures particle dynamics disguise
2010/11/9
The absence of backscattering in metallic nanotubes as well as perfect Klein tunneling in the potential barriers in graphene are explained by showing that both phenomena have a free particle dynamics...
Localization of s-Wave and Quantum Effective Potential of a
Quasi-free Particle with Position-Dependent Mass
position-dependent mass s-wave Schrö dinger equation
dimensionality of the space localization eigenfunction probability density
2007/8/15
2006Vol.46No.5pp.819-825DOI:
Localization of s-Wave and Quantum Effective Potential of a
Quasi-free Particle with Position-Dependent Mass
JU Guo-Xing, XIANG Yang, and REN Zhong-Zh...