41 citations · 76 across the 3 of their papers we have counts for
3 papers
quant-ph2014★ 33 cited
Analytic solutions of the quantum two-state problem in terms of the double-, bi- and tri-confluent Heun functions
T. A. Shahverdyan, T. A. Ishkhanyan, A. E. Grigoryan +1
We derive five classes of quantum time-dependent two-state models solvable in terms of the double confluent Heun functions, five other classes solvable in terms of the biconfluent…
physics.atom-ph2014★ 2 cited
Time-dependent level crossing models solvable in terms of the confluent Heun functions
A. M. Ishkhanyan, A. E. Grigoryan
We discuss the level-crossing field configurations for which the quantum time-dependent two-state problem is solvable in terms of the confluent Heun functions. We show that these c…
physics.atom-ph2014★ 41 cited
Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function
A. M. Ishkhanyan, A. E. Grigoryan
We derive 15 classes of time-dependent two-state models solvable in terms of the confluent Heun functions. These classes extend over all the known families of three- and two-parame…