# Interacting distributed approximating functions for real-time quantum dynamics

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- What is it like to be Schrodinger's cat? Lewis, Peter J. // Analysis;Jan2000, Vol. 60 Issue 1, p22
Presents an interpretation of quantum mechanics using the Schrodinger equation. Components of the Schrodinger's cat device; Linearity of the Schrodinger equation; Metaphysical elements associated in the interpretation of quantum mechanics; Factors affecting the interpretation process.

- Schrodinger's cation leaps into reality. Ward, Mark // New Scientist;6/01/96, Vol. 150 Issue 2032, p18
Reports on United States researchers' creation of a Schrodinger's cation. Implications to the understanding of quantum mechanics; Determining atoms' superposition of states.

- Semiclassical Approximation and 1/n Expansion in Quantum-Mechanical Problems. Karnakov, B. M.; Mur, V. D.; Popov, V. S. // Physics of Atomic Nuclei;Apr2001, Vol. 64 Issue 4, p670
The semiclassical approximation and the technique of 1/n expansion are used to calculate the eigenenergies and the wave functions for the radial SchrÃ¶dinger equation. It is shown that the expressions that are asymptotically exact in the limit n = n[sub r] + l + 1 â†’ âˆž and which...

- SchrÃ¶dingerâ€“Fuerth quantum diffusion theory: Generalized complex diffusion equation. Kostin, M. D. // Journal of Mathematical Physics;Jan1992, Vol. 33 Issue 1, p111
According to SchrÃ¶dingerâ€“Fuerth quantum diffusion theory the equations of quantum theory can be derived by applying the Fuerth transformation to the equations of diffusion theory. By introducing a complex flux whose real and imaginary parts are the x and y components of the flux, a...

- Transmission line analogy of resonance tunneling phenomena: The generalized impedance concept. Khondker, A. N.; Khan, M. Rezwan; Anwar, A. F. M. // Journal of Applied Physics;5/15/1988, Vol. 63 Issue 10, p5191
Provides information on a study which presented a method for solving the Schr Ã¶ dinger equation to calculate the quantum mechanical transmission probability across arbitrary potential barriers. Concept of wave impedance analogous to transmission line theory; Resonance tunneling phenomena in...

- Superintegrability on the two-dimensional hyperboloid. II. Kalnins, E.G; Miller Jr, W. // Journal of Mathematical Physics;May99, Vol. 40 Issue 5, p2291
Investigates the quantum mechanical systems on the two-dimensional hyperboloid which admits separation of variables in at least two coordinate systems. Characterization of the two-dimensional hyperboloid via the Cartesian coordinates; Separation of the Schrodinger equation in nine coordinate...

- Quantum mechanical/quantum mechanical methods. I. A divide and conquer strategy for solving the SchroÂ¨dinger equation for large molecular systems using a composite density functional-semiempirical Hamiltonian. Gogonea, Valentin; Westerhoff, Lance M.; Merz, Kenneth M.; Merz Jr., Kenneth M. // Journal of Chemical Physics;10/8/2000, Vol. 113 Issue 14
Herein we describe a new combined quantum mechanical/quantum mechanical (QM/QM) method for solving the SchroÂ¨dinger equation for large molecular systems. The new method uses the divide and conquer (D&C) strategy to partition a large molecular system into subsystems and a composite density...

- The Coulomb—Oscillator Relation on n-Dimensional Spheres and Hyperboloids. Kalnins, E. G.; Miller, W.; Pogosyan, G. S. // Physics of Atomic Nuclei;Jun2002, Vol. 65 Issue 6, p1086
We establish a relation between Coulomb and oscillator systems on n-dimensional spheres and hyperboloids for n â‰¥ 2. We show that, as in Euclidean space, the quasiradial equation for the (n + 1)-dimensional Coulomb problem coincides with the 2n-dimensional quasiradial oscillator equation on...

- E(2)-symmetric two-mode sheared states. Kim, Y. S.; Yeh, Leehwa // Journal of Mathematical Physics;Apr92, Vol. 33 Issue 4, p1237
It is noted that the symmetry of two-mode squeezed states of light is governed by the group Sp(4) that is locally isomorphic to O(3,2). This group has subgroups that are locally isomorphic to the two-dimensional Euclidean group. Two-mode states having the E(2) symmetry are constructed. The...