52 citations · 85 across the 5 of their papers we have counts for
5 papers
Phase space methods and psychoacoustic models in lossy transform coding
Matthew Charles Cargo
I present a method for lossy transform coding of digital audio that uses the Weyl symbol calculus for constructing the encoding and decoding transformation. The method establishes…
Multidimensional quantum normal forms, Moyal star product, and torus quantization
Matthew Cargo, Alfonso Gracia-Saz, R G Littlejohn
A normal form transformation is carried out on the operators of a complete set of commuting observables in a multidimensional, integrable quantum system, mapping them by unitary co…
S'Darboux coordinates and WKB approximations in deformation quantization
Matthew C. Cargo
We introduce a method for calculating the joint spectra of functions which comprise a quantum integrable system under a deformation quantization star product. The main result invol…
Moyal star product approach to the Bohr-Sommerfeld approximation
Matthew Cargo, Alfonso Gracia-Saz, R. G. Littlejohn +2
The Bohr-Sommerfeld approximation to the eigenvalues of a one-dimensional quantum Hamiltonian is derived through order (i.e., including the first correction term beyond t…
Dissipative Chaos in Semiconductor Superlattices
Kirill N. Alekseev, Gennady P. Berman, David K. Campbell +2
We consider the motion of ballistic electrons in a miniband of a semiconductor superlattice (SSL) under the influence of an external, time-periodic electric field. We use the semi-…