Остання редакція: 2019-03-11
Анотація
We have considered an example of one side surface, namely the Möbius strip, in order to establish in explicit form the Hamiltonian of confined electrons. Applying well known general approach for pointing out purely geometric effects we have found the kinetic energy and geometric potential operators in terms of curvilinear coordinates.
Ключові слова
Посилання
1.Погорелов А.В., Дифференциальная геометрия, М., 1969, 167 с.
2.Nieto J.A.,Pérez-Euríquez R.,A spinning particle in a Möbius strip,arXiv:1102.748v1[quant-ph]28Feb2011
3.Zehao li,Ram-Mohan L.R. Quantum Mqchanics on a Möbius ring: Energy levels, symmetry,optical transitions,and level splitting in a magnetic field, Phys.Rev. B85,195438,2012, DOI:https://doi/org/10.1103/PhysRevB.85,195438(2012)
4.Da Costa R.C.T., Quantum Mechanics of a constrained particle, Phys.Rev. A23, 1982, DOI: https://doi.org/10.1103/Phys.RevA23.1982