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6 papers · 2 filters
Auxiliary field method and analytical solutions of the Schrödinger equation with exponential potentials
Bernard Silvestre-Brac, Claude Semay, Fabien Buisseret
The auxiliary field method is a new and efficient way to compute approximate analytical eigenenergies and eigenvectors of the Schrödinger equation. This method has already been suc…
Some equivalences between the auxiliary field method and the envelope theory
F. Buisseret, C. Semay, B. Silvestre-Brac
The auxiliary field method has been recently proposed as an efficient technique to compute analytical approximate solutions of eigenequations in quantum mechanics. We show that the…
Bohmian mechanics, the quantum-classical correspondence and the classical limit: the case of the square billiard
A. Matzkin
Square billiards are quantum systems complying with the dynamical quantum-classical correspondence. Hence an initially localized wavefunction launched along a classical periodic or…
Extensions of the auxiliary field method to solve Schrödinger equations
Bernard Silvestre-Brac, Claude Semay, Fabien Buisseret
It has recently been shown that the auxiliary field method is an interesting tool to compute approximate analytical solutions of the Schrödinger equation. This technique can genera…
On group theory for quantum gates and quantum coherence
Michel Planat, Philippe Jorrand
Finite group extensions offer a natural language to quantum computing. In a nutshell, one roughly describes the action of a quantum computer as consisting of two finite groups of g…
Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation
B. Silvestre-Brac, C. Semay, F. Buisseret
We propose a new method to obtain approximate solutions for the Schrödinger equation with an arbitrary potential that possesses bound states. This method, relying on the auxiliary…