# Spectrally Stable Encapsulated Vortices for Nonlinear SchrÃ¶dinger Equations

## Related Articles

- Quantum three-body system in D dimensions. Gu, Xiao-Yan; Duan, Bin; Ma, Zhong-Qi // Journal of Mathematical Physics;Jun2002, Vol. 43 Issue 6, p2895
The independent eigenstates of the total orbital angular momentum operators for a three-body system in an arbitrary D-dimensional space are presented by the method of group theory. The SchrÃ¶dinger equation is reduced to the generalized radial equations satisfied by the generalized radial...

- Solutions to the SchrÃ¶dinger Equation with Inversely Quadratic Yukawa Plus Inversely Quadratic Hellmann Potential Using Nikiforov-Uvarov Method. Ita, B. I.; Ikeuba, A. I. // Journal of Atomic & Molecular Physics;2013, p1
The solutions to the Schrodinger equation with inversely quadratic Yukawa and inversely quadratic Hellmann (IQYIQH) potential for any angular momentum quantum number l have been presented using the Nikiforov-Uvarov method. The bound state energy eigenvalues and the corresponding unnormalized...

- Minimally disturbing Heisenbergâ€“Weyl symmetric measurements using hard-core collisions of SchrÃ¶dinger particles. Janzing, Dominik; Decker, Thomas // Journal of Mathematical Physics;Aug2006, Vol. 47 Issue 8, p082102
In a previous paper we have presented a general scheme for the implementation of symmetric generalized measurements (POVMs) on a quantum computer. This scheme is based on representation theory of groups and methods to decompose matrices that intertwine two representations. We extend this scheme...

- Correlation between Diffusion Equation and SchrÃ¶dinger Equation. Okino, Takahisa // Journal of Modern Physics (21531196);May2013, Vol. 4 Issue 5, p612
The well-known SchrdÃ¶inger equation is reasonably derived from the well-known diffusion equation. In the present study, the imaginary time is incorporated into the diffusion equation for understanding of the collision problem between two micro particles. It is revealed that the diffusivity...

- The hidden dynamics of the Planck constant. Curran, Michael James // Physics Essays;2016, Vol. 29 Issue 2, p181
Quantum mechanics and classical mechanics may have more similarities than presently known. Some simple concepts of probability theory in quantum mechanics as well as some equations of classical and quantum mechanics are re-examined. Hidden within these equations is the implication that the...

- Fractional Fourier transform of Airy beams. Zhou, Guoquan; Chen, Ruipin; Chu, Xiuxiang // Applied Physics B: Lasers & Optics;Dec2012, Vol. 109 Issue 4, p549
An analytical expression of an Airy beam passing through a fractional Fourier transform (FRFT) system is presented. The effective beam size of the Airy beam in the FRFT plane is also derived. The influences of the order of FRFT, the modulation parameter, and the transverse scale on the...

- Analytical solutions of SchrÃ¶dinger equation for the diatomic molecular potentials with any angular momentum. Akcay, Huseyin; Sever, Ramazan // Journal of Mathematical Chemistry;Aug2012, Vol. 50 Issue 7, p1973
Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. Algebraic method is used in the calculations.

- Confined quantum Zeno dynamics of a watched atomic arrow. Signoles, Adrien; Facon, Adrien; Grosso, Dorian; Dotsenko, Igor; Haroche, Serge; Raimond, Jean-Michel; Brune, Michel; Gleyzes, Sébastien // Nature Physics;Oct2014, Vol. 10 Issue 10, p715
In a quantum world, a watched arrow never moves. This is the quantum Zeno effect. Repeatedly asking a quantum system 'are you still in your initial state?' blocks its coherent evolution through measurement back-action. Quantum Zeno dynamics (QZD; refs , ) gives more freedom to the system....

- DISPERSION ESTIMATES FOR SPHERICAL SCHRÃ–DINGER EQUATIONS: THE EFFECT OF BOUNDARY CONDITIONS. Holzleitner, Markus; Kostenko, Aleksey; Teschl, Gerald // Opuscula Mathematica;2016, Vol. 36 Issue 6, p769
We investigate the dependence of the LÂ¹ â†’ Lâˆž dispersive estimates for one-dimensional radial SchrÃ¶dinger operators on boundary conditions at 0. In contrast to the case of additive perturbations, we show that the change of a boundary condition at zero results in the change of...