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Quantum wave packet revival in two-dimensional circular quantum wells with position-dependent mass
Authors:Alexandre GM Schmidt  Abel D Azeredo
Institution:a Departamento de Ciências Exatas, Pólo Universitário de Volta Redonda—Universidade Federal Fluminense, Av. dos Trabalhadores 420, Volta Redonda RJ, CEP 27255-125, Brazil
b Departamento de Física—Universidade Federal de Roraima, Av. Cap. Ene Garcez 2413, Boa Vista RR, CEP 69304-000, Brazil
c Departamento de Ciências Exatas e Tecnológicas—Universidade Estadual de Santa Cruz, km 16 Rodovia Ilhéus-Itabuna, Ilhéus BA, CEP 45662-000, Brazil
Abstract:We study quantum wave packet revivals on two-dimensional infinite circular quantum wells (CQWs) and circular quantum dots with position-dependent mass (PDM) envisaging a possible experimental realization. We consider CQWs with radially varying mass, addressing particularly the cases where M(r)∝rw with w=1,2, or −2. The two PDM Hamiltonians currently allowed by theory were analyzed and we were able to construct a strong theoretical argument favoring one of them.
Keywords:03  65  Ge  03  65  Sq
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