From Quantum Action to Quantum Chaos
نویسندگان
چکیده
H. Jirari, H. Kröger, G. Melkonyan, X.Q. Luo and K.J.M. Moriarty a Département de Physique, Université Laval, Québec, Québec G1K 7P4, Canada Email: [email protected] b Department of Physics, Zhongshan University, Guangzhou 510275, China Email: [email protected] c Department of Mathematics, Statistics and Computer Science, Dalhousie University, Halifax, Nova Scotia B3H 3J5, Canada Email: [email protected]
منابع مشابه
Investigation of strong force influence on behavior of nuclear energy levels in Calcium and Titanium isotopes: Based on quantum chaos theory
The atomic nucleus is a complex many-body system that consists of two types of fermion (neutron and proton). They are in the strong interaction. The statistical properties of energy levels and influence of strong force between these fermions are well described by random matrix theory. Resonance of energy levels depends on the Hamiltonian symmetry placed in one of the GOE, GUE and GSE ensembles ...
متن کاملNonlinear Dynamics in Quantum Physics – Quantum Chaos and Quantum Instantons
We discuss the recently proposed quantum action-its interpretation, its motivation , its mathematical properties and its use in physics: quantum mechanical tunneling, quantum instantons and quantum chaos. 1. Introduction. Modern physics returns to some of its origins dating back to the first part of the last century. Examples are entanglement, according to Schrödinger the most peculiar property...
متن کاملRenormalisation in Quantum Mechanics, Quantum Instantons and Quantum Chaos
We suggest how to construct non-perturbatively a renormalized action in quantum mechanics. We discuss similarties and differences with the standard effective action. We propose that the new quantum action is suitable to define and compute quantum instantons and quantum chaos.
متن کاملNonlinear Dynamics in Quantum Physics–the Study of Quantum Chaos
We use the quantum action to study the dynamics of quantum system at finite temperature. We construct the quantum action non-perturbatively and find temperature dependent action parameters. Here we apply the quantum action to study quantum chaos. We present a numerical study of a classically chaotic 2-D Hamiltonian system harmonic oscillators with anharmonic coupling. We compare Poincaré sectio...
متن کاملQuantum Chaos at Finite Temperature - a New Approach via the Quantum Action
We address the problem of quantum chaos: Is there a rigorous, physically meaningful definition of chaos in quantum physics? Can the tools of classical chaos theory, like Lyapunov exponents, Poincaré sections etc. be carried over to quantum systems? Can quantitative predictions be made? We show that the recently proposed quantum action is well suited to answer those questions. As an example we s...
متن کاملQuantum Chaos via the Quantum Action
We discuss the concept of the quantum action with the purpose to characterize and quantitatively compute quantum chaos. As an example we consider in quantum mechanics a 2-D Hamiltonian system-harmonic oscillators with anharmonic coupling-which is classically a chaotic system. We compare Poincaré sections obtained from the quantum action with those from the classical action. 1. Introduction. The...
متن کامل