scholarly journals Partial integrability of the anharmonic oscillator

2007 ◽  
Vol 14 (3) ◽  
pp. 462-473 ◽  
Author(s):  
Robert Conte
1996 ◽  
Vol 89 (5) ◽  
pp. 1503-1510 ◽  
Author(s):  
P.L. POLAVARAPU

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Agil K. Khanmamedov ◽  
Nigar F. Gafarova

AbstractAn anharmonic oscillator {T(q)=-\frac{d^{2}}{dx^{2}}+x^{2}+q(x)} on the half-axis {0\leq x<\infty} with the Neumann boundary condition is considered. By means of transformation operators, the direct and inverse spectral problems are studied. We obtain the main integral equations of the inverse problem and prove that the main equation is uniquely solvable. An effective algorithm for reconstruction of perturbed potential is indicated.


1997 ◽  
Vol 30 (21) ◽  
pp. 7413-7425
Author(s):  
Alexander V Bogdanov ◽  
Ashot S Gevorkyan

2015 ◽  
Vol 48 (43) ◽  
pp. 435101 ◽  
Author(s):  
F Gonzalez ◽  
C Jung

1986 ◽  
Vol 33 (12) ◽  
pp. 3658-3664 ◽  
Author(s):  
U. B. Kaulfuss ◽  
M. Altenbokum

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