# Quantum-Mechanical Channel of Interactions between Macroscopic Systems

## Related Articles

- Stochastic Schrodinger Equation for a Quantum Oscillator with Dissipation. Churkin, A. V. // Mathematical Notes;Nov/Dec2005, Vol. 78 Issue 5/6, p867
In this paper, we construct an exact solution of the stochastic Schrodinger equation for a quantum oscillator with possible dissipation of energy taken into account. Using the explicit form of the solution, we calculate estimates for the characteristic damping time of free damped oscillations....

- Finite-time stochastic reduction models. Brody, Dorje C.; Hughston, Lane P. // Journal of Mathematical Physics;Aug2005, Vol. 46 Issue 8, p082101
A new energy-based stochastic extension of the SchrÃ¶dinger equation for which the wave function collapses after the passage of a finite amount of time is proposed. An exact closed-form solution to the dynamical equation, valid for all finite-dimensional quantum systems, is presented and used...

- Entanglement Revisited. Zak, Michail // Electronic Journal of Theoretical Physics;Feb2009, Vol. 6 Issue 20, p307
Quantum-classical hybrid that preserves the topology of the SchrÃ¶dinger equation (in the Madelung form), but replaces the quantum potential with other, specially selected, function of probability density is introduced. Non-locality associated with a global geometrical constraint that leads to...

- Exact solutions of the SchrÃ¶dinger equation. Nilsson, Börje; Khrennikov, Andrei // AIP Conference Proceedings;12/3/2007, Vol. 962 Issue 1, p302
Textbooks on quantum mechanics often give the impression that the SchrÃ¶dinger equation can be solved exactly only for a few simple potential models. However, exact solutions are available in terms of hypergeometric functions and their confluent variants for the so-called Natanzon potentials....

- Exemplifying Quantum Systems in a Finite Element Basis. Young, Toby D. // AIP Conference Proceedings;8/13/2009, Vol. 1148 Issue 1, p285
This paper presents a description of the abstractions required for the expression and solution of the linear single-particle SchrÃ¶dinger equation in a finite element basis. This paper consists of two disparate themes: First, to layout and establish the foundations of finite element analysis...

- Quantum Spectrum of Some Anharmonic Central Potentials: Wave Functions Ansatz. Shi-Hai Dong; Guo-Hua San // Foundations of Physics Letters;Aug2003, Vol. 16 Issue 4, p357
Based on the ansatz to the wave functions, the quasi-exact solutions of the 2D SchrÃ¶dinger equation with some anharmonic potentials are reviewed and analyzed if admitting restrictions on the parameters of the potential and the angular momentum m. These potentials are taken as the screened...

- Threshold properties of matrix-valued SchrÃ¶dinger operators. Melgaard, Michael // Journal of Mathematical Physics;Aug2005, Vol. 46 Issue 8, p083507
We present some results on the perturbation of eigenvalues embedded at a threshold for a two-channel Hamiltonian with three-dimensional SchrÃ¶dinger operators as entries and with a small off-diagonal perturbation. In particular, we show how the threshold eigenvalue gives rise to discrete...

- Field dispersion in parametrically excited oscillator upon relaxation. Bykov, V. P. // Optics & Spectroscopy;Jul2010, Vol. 109 Issue 1, p13
A complete system of solutions of the equation describing the parametric excitation of an oscillator is presented. This system makes it possible to take into account losses in a parametrically excited oscillator in terms of the perturbation theory. It is shown that, although the oscillator...

- A smooth version of the RS model. Barbosa-Cendejas, N.; Herrera-Aguilar, A.; Nucamendi, U.; Quiros, I.; Santos, M. A. Reyes; Schubert, C. // AIP Conference Proceedings;7/2/2008, Vol. 1026 Issue 1, p146
We study the physical properties of a thick brane solution arising in a 5D theory of gravity coupled to a bulk self-interacting scalar field in a Riemannian manifold. By analyzing the graviton spectrum of this model, we find a particular case in which the 4D graviton is separated from the...