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European Control Conference (ECC)

On Klein-Gordon-Schrödinger control system

Quan‐Fang Wang

Published Jun 1, 2016• 0 citations
Publisher

Abstract

In order to survey quantum control for Klein-Gordon-Schrodinger (K-G-S) system, consider control of physical interaction at Yukawa coupling in nucleus. Optimal control theory for K-G-S system in the electric field is initially deduced via Hamiltonian and Lagrangian methodologies. The existence of quantum optimal control is fully proved. Actually, a rational theoretical results given the possibility to control nuclei in computational and experimental issues.

DOI
10.1109/ecc.2016.7810626

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In order to survey quantum control for Klein-Gordon-Schrodinger (K-G-S) system, consider control of physical interaction at Yukawa coupling in nucleus. Optimal control theory for K-G-S system in the electric field is initially deduced via Hamiltonian and Lagrangian methodologies. The existence of quantum optimal control is fully proved. Actually, a rational theoretical results given the possibility to control nuclei in computational and experimental issues.
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Beyond the controlling of molecules and atoms, quantum control step forward to a new era of achieving control at nucleus scale. This work is to attempt the investigation of quantum controlling with the interaction between two heavy particles (e.g. nucleon and meson). The interaction, which expressed as coupled Schrodinger and Klein-Gordon equations, will be the target of controlling. Experiment demonstration illustrate that theoretical study combining with computational control is effected to performance.
Quantum control of elementary particle at nucleon had already been investigated for a couple of decades at the frontier area both in quantum physics and system control. At the nucleus, a kind of control for particles motion had been considered in the form of Klein-Gordon-Schrödinger equation, which is a system describing the Yukawa interaction between nucleon (e.g. proton, neutron) and meson. The aim of this paper is trying to find an external force to act at one of the particles to change the particle from its ground state to reach its exciting state.
Beyond the controlling of molecules and atoms, quantum control step forward to a new era of achieving control at nucleus scale. This work is to attempt the investigation of quantum controlling with the interaction between two heavy particles (e.g. nucleon and meson). The interaction, which expressed as coupled Schrodinger and Klein-Gordon equations, will be the target of controlling. Experiment demonstration illustrate that theoretical study combining with computational control is effected to performance.
In this work, a novel concept abstract surface (cross-section at nucleus) is proposed firstly. Quantum optimal control is interested in taking particles at Yukawa interaction of cross-section σ in the nucleus as target for controlling by external force. In the nucleus, as intersecting surface full of particles can be considered for applying control theory and numerical simulation using a stable semi-discrete algorithm. Theoretical investigation, computational approach and experimental demonstration had accomplished.