Add to ORKGThe O(N) invariant quartic anharmonic oscillator is shown to be exactly solvable if the interaction parameter satisfies special conditions. The problem is directly related to that of a quantum double well anharmonic oscillator in an external field. A finite dimensional matrix equation for the problem is constructed explicitly, along with analytical expressions for some excited states in the system. The corresponding Niven equations for determining the polynomial solutions for the problem are given. © 2012 Chinese Physical Society and IOP Publishing Ltd
The symmetrized quartic polynomial oscillator is shown to admit an sl(2 ,R) algebraization. Some sim...
We outline a remarkably efficient method for generating solutions to quantum anharmonic oscillators ...
It is shown that for the one-dimensional quantum anharmonic oscillator with potential $V(x)= x^2+g^2...
Among the one-dimensional, real and analytic polynomial potentials, the sextic anharmonic oscillator...
We extend the notion of quasi-exactly solvable (QES) models from potential ones and differential equ...
The (analytic) sextic oscillator is often considered as the prototype of quasi-exactly solvable (QES...
This paper illustrates the application of group theory to a quantum-mechanical three-dimensional qua...
Quantum quartic single-well anharmonic oscillator Vao(x) = x2 + g2x4 and double-well anharmonic osci...
This paper illustrates the application of group theory to a quantum-mechanical three-dimensional qua...
This paper illustrates the application of group theory to a quantum-mechanical three-dimensional qua...
In this paper the relationship between the problem of constructing the ground state energy for the q...
We extend the theory of quasi-exactly solvable (QES) models with real energies to include quasinorma...
Abstract. A new two-parameter family of quasi-exactly solvable quartic polynomial potentials V (x) =...
A new two-parameter family of quasi-exactly solvable quartic polynomial potentials $V(x)=-x^4+2iax^3...
A new version of solutions in the form of an exponentially weighted power series is constructed for ...
The symmetrized quartic polynomial oscillator is shown to admit an sl(2 ,R) algebraization. Some sim...
We outline a remarkably efficient method for generating solutions to quantum anharmonic oscillators ...
It is shown that for the one-dimensional quantum anharmonic oscillator with potential $V(x)= x^2+g^2...
Among the one-dimensional, real and analytic polynomial potentials, the sextic anharmonic oscillator...
We extend the notion of quasi-exactly solvable (QES) models from potential ones and differential equ...
The (analytic) sextic oscillator is often considered as the prototype of quasi-exactly solvable (QES...
This paper illustrates the application of group theory to a quantum-mechanical three-dimensional qua...
Quantum quartic single-well anharmonic oscillator Vao(x) = x2 + g2x4 and double-well anharmonic osci...
This paper illustrates the application of group theory to a quantum-mechanical three-dimensional qua...
This paper illustrates the application of group theory to a quantum-mechanical three-dimensional qua...
In this paper the relationship between the problem of constructing the ground state energy for the q...
We extend the theory of quasi-exactly solvable (QES) models with real energies to include quasinorma...
Abstract. A new two-parameter family of quasi-exactly solvable quartic polynomial potentials V (x) =...
A new two-parameter family of quasi-exactly solvable quartic polynomial potentials $V(x)=-x^4+2iax^3...
A new version of solutions in the form of an exponentially weighted power series is constructed for ...
The symmetrized quartic polynomial oscillator is shown to admit an sl(2 ,R) algebraization. Some sim...
We outline a remarkably efficient method for generating solutions to quantum anharmonic oscillators ...
It is shown that for the one-dimensional quantum anharmonic oscillator with potential $V(x)= x^2+g^2...