is an emerging discipline which is crossing over from Physics into Pure Mathematics.
introduces quantum chaos
and semiclassical physics.
The need for a numerical treatment of A-F entropy arises particularly in the field of quantum chaos
and decoherence: the Conclusions briefly mention this problem and summarize the work.
The "Journal of Modern Dynamics" covers the theory of dynamical systems with an emphasis on the mutual interaction between dynamics and other major areas of mathematical research, including number theory, differential geometry, quantum chaos
, geometric group theory and harmonic analysis.
Despite that the quantum counterparts of classical chaotic systems have been studied via the techniques of linear QM, it is our opinion that Quantum Chaos
is truly a new paradigm in physics which is associated with non-unitary and nonlinear QM processes based on non-Hermitian operators (implementing time symmetry breaking).
They could also gain insights into quantum gravity, quantum chaos
, string theory, and other ideas at the forefront of efforts to construct a unified theory of force and matter.
The idea is to teach graduate students how to practically use quantum physics and theory, presenting the fundamental knowledge, and gradually moving on to applications, including atomic, nuclear and solid state physics, as well as modern subfields, such as quantum chaos
and quantum entanglement.
This volume contains the lecture notes from the summer school and covers introductory issues, the basic theory of Eisenstein series, converse theorems and the Langlands- Shahidi method, Ramanujan conjectures and applications, analytic theory of GL(2) forms and L-functions, arithmetic quantum chaos
, and unipotent flows on Gamma/G and applications.
The 3D hydrogen atom in a strong magnetic field is a nonintegrable and chaotic system [16, 17] undergoing a transition from complete integrability (pure Coulomb case) to ergodicity (at sufficiently high energies), being a generic system, having the mixed type classical phase space , and it is an example of classical (Hamiltonian) and quantum chaos
Although not yet available in your local video store, this new game of Quantum Pinball has captured the imagination of theorists in the field of quantum chaos
," physicist Roderick V.
Covering both experimental physical implementations of quantum information processors and theoretical aspects of quantum computation and quantum communication, the course's 16 lectures discussed fundamentals of quantum computing; quantum logic, information, and entanglement; quantum algorithms; error-correcting codes for quantum computations; quantum measurements and control; quantum communications; quantum optics and cold atoms for quantum information; quantum computing with solid-state devices; theory and experiments for superconducting qubits; interactions in many-body systems, quantum chaos
, disorder, and random matrices; decoherence effects for quantum computing; and future prospects of quantum information processing.
Sridhar and his coworkers had been investigating aspects of quantum chaos
by looking at the patterns created when microwaves bounce around inside thin metal enclosures of various shapes.