Quantum mechanics of charged non-relativistic particles with an arbitrary spin traveling inside a cylindrical nanotube of finite lengthis considered. The uniform magnetic field is directed along the symmetry axis of the nanotube. The stationary Schrödinger equation with zero boundary conditions is solved. The stationary states are described by the Whittaker functions. The energy levels are expressed in terms of zeros of hypergeometric functions the values of which are found numerically. The asymptotic wave functions and energies are found analytically for large quantum numbers.
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Borodin, V.I., Bubenchikov, M.A., Nosyrev, O.D. et al. Stationary States of a Spinning Particle in a Nanotube. Russ Phys J 66, 547–559 (2023). https://doi.org/10.1007/s11182-023-02974-5
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DOI: https://doi.org/10.1007/s11182-023-02974-5