52 citations · 85 across the 5 of their papers we have counts for
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math-ph2005★ 2 cited
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…
math-ph2005
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…
math-ph2004★ 31 cited
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…