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- National Research Tomsk State UniversityRU247 papers
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4 papers · 2 filters
Exact solutions of the sextic oscillator from the bi-confluent Heun equation
G. Lévai, A. M. Ishkhanyan
The sextic oscillator is discussed as a potential obtained from the bi-confluent Heun equation after a suitable variable transformation. Following earlier results, the solutions of…
WKB-approach for the 1D hydrogen atom
A. M. Ishkhanyan, V. P. Krainov
Taking into account results of WKB-approximation, we derive exact quantum energies and wave functions of even and odd states in the one-dimensional Coulomb potential
Uncertainty relation for the radial momentum and radial coordinate in the Coulomb potential
A. M. Ishkhanyan, V. P. Krainov
We have obtained the uncertainty relations for arbitrary states of the hydrogen atom. It is shown that the minimal value of the uncertainty relation is attained for the circular Ry…
Open quantum system in external magnetic field within non-Markovian quantum Langevin approach
I. B. Abdurakhmanov, Z. Kanokov, G. G. Adamian +1
The non-Markovian dynamics of a charged particle linearly coupled to a neutral bosonic heat bath is investigated in an external uniform magnetic field. The analytical expressions f…