Add to ORKGA new version of solutions in the form of an exponentially weighted power series is constructed for the two-dimensional circularly symmetric quartic oscillators, which reflects successfully the desired properties of the exact wave function. The regular series part is shown to be the solution of a transformed equation. The transformed equation is applicable to the one-dimensional problem as well. Moreover, the exact closed-form eigenfunctions of the harmonic oscillator can be reproduced as a special case of the present wave function. (C) 1996 John Wiley & Sons, Inc
By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the rad...
The ‘‘exact WKB method’ ’ is applied to the general quartic oscillator, yielding rigorous results on...
International audienceThe energy levels of quantum systems are determined by quantization conditions...
The O(N) invariant quartic anharmonic oscillator is shown to be exactly solvable if the interaction ...
We use -after a shift transformation of the variable- the Burrows, Cohen and Feldmann approximation ...
We use -after a shift transformation of the variable- the Burrows, Cohen and Feldmann approximation ...
In this note we present a simple analytical formula which reproduces the energy eigenvalues Ek(λ...
This paper may be called for at the end of Session G if time permits.Author Institution: Department ...
This paper may be called for at the end of Session G if time permits.Author Institution: Department ...
In this note we present a simple analytical formula which reproduces the energy eigenvalues Ek(λ...
The power series method has been adapted to compute the spectrum of the Schrodinger equation for cen...
We use — after a shift transformation of the variable — the Burrows, Cohen and Feldmann approximati...
The (analytic) sextic oscillator is often considered as the prototype of quasi-exactly solvable (QES...
Among the few exactly solvable problems in theoretical physics, the 2D (two-dimensional) Newtonian f...
We present exact solutions of the Schrodinger equation with spherically symmetric octic potential. W...
By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the rad...
The ‘‘exact WKB method’ ’ is applied to the general quartic oscillator, yielding rigorous results on...
International audienceThe energy levels of quantum systems are determined by quantization conditions...
The O(N) invariant quartic anharmonic oscillator is shown to be exactly solvable if the interaction ...
We use -after a shift transformation of the variable- the Burrows, Cohen and Feldmann approximation ...
We use -after a shift transformation of the variable- the Burrows, Cohen and Feldmann approximation ...
In this note we present a simple analytical formula which reproduces the energy eigenvalues Ek(λ...
This paper may be called for at the end of Session G if time permits.Author Institution: Department ...
This paper may be called for at the end of Session G if time permits.Author Institution: Department ...
In this note we present a simple analytical formula which reproduces the energy eigenvalues Ek(λ...
The power series method has been adapted to compute the spectrum of the Schrodinger equation for cen...
We use — after a shift transformation of the variable — the Burrows, Cohen and Feldmann approximati...
The (analytic) sextic oscillator is often considered as the prototype of quasi-exactly solvable (QES...
Among the few exactly solvable problems in theoretical physics, the 2D (two-dimensional) Newtonian f...
We present exact solutions of the Schrodinger equation with spherically symmetric octic potential. W...
By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the rad...
The ‘‘exact WKB method’ ’ is applied to the general quartic oscillator, yielding rigorous results on...
International audienceThe energy levels of quantum systems are determined by quantization conditions...