Comparison of O- and C-models on pseudosphere

作者:Grigoryan G V*; Grigoryan R P; Tyutin I V
来源:International Journal of Modern Physics A, 2016, 31(34): 1650179.
DOI:10.1142/S0217751X16501797

摘要

We present a mathematically rigorous quantum-mechanical treatment of a two-dimensional nonrelativistic quantum dual theories (with oscillator- and Coulomb-like potentials) on pseudosphere. We construct all self-adjoint Schrodinger operators for these theories and present solutions of the corresponding spectral problems. We show, that there is one-to-one correspondence between spectral points of the energy-coupling constant planes not only for discrete, but also for continuous spectra and corresponding eigenfunctions forming the complete orthonormalized systems.

  • 出版日期2016-12-10

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