scholarly journals A Positivity Property of a Quantum Anharmonic Oscillator Suggested by the BMV Conjecture

2015 ◽  
Vol 10 (4) ◽  
pp. 737-748
Author(s):  
Victor Katsnelson
Keyword(s):  
Anharmonic Oscillator ◽  
Bmv Conjecture ◽  
Positivity Property

Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Agil K. Khanmamedov ◽  
Nigar F. Gafarova
Keyword(s):  
Boundary Condition ◽  
Neumann Boundary Condition ◽  
Inverse Spectral Problem ◽  
Anharmonic Oscillator ◽  
Neumann Boundary ◽  
Effective Algorithm ◽  
Inverse Spectral Problems ◽  
Main Equation ◽  
Inverse Spectral ◽  
Half Axis

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.

scholarly journals New perturbation theory for the nonstationary anharmonic oscillator

1997 ◽  
Vol 30 (21) ◽  
pp. 7413-7425
Author(s):  
Alexander V Bogdanov ◽  
Ashot S Gevorkyan
Keyword(s):  
Perturbation Theory ◽  
Anharmonic Oscillator ◽  
New Perturbation

A POSITIVITY PROPERTY FOR FOLIATIONS ON COMPACT KÄHLER MANIFOLDS

2006 ◽  
Vol 17 (01) ◽  
pp. 35-43 ◽  
Author(s):  
MARCO BRUNELLA
Keyword(s):  
Kähler Manifold ◽  
Rational Curves ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Canonical Bundle ◽  
Positivity Property ◽  
Kahler Manifold ◽  
Compact Kähler Manifold

We prove that the canonical bundle of a foliation by curves on a compact Kähler manifold is pseudoeffective, unless the foliation is a (special) foliation by rational curves.

Anharmonic oscillator as a test of the coupled-cluster method

1986 ◽  
Vol 33 (12) ◽  
pp. 3658-3664 ◽  
Author(s):  
U. B. Kaulfuss ◽  
M. Altenbokum
Keyword(s):  
Anharmonic Oscillator ◽  
Cluster Method ◽  
Coupled Cluster ◽  
Coupled Cluster Method
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