92 citations · 178 across the 8 of their papers we have counts for
6 papers · 1 filter
Local spin base invariance from a global differential-geometrical point of view
Claudio Emmrich
This article gives a geometric interpretation of the spin base formulation with local spin base invariance of spinors on a curved space-time and in particular of a central element,…
Multicomponent WKB on arbitrary symplectic manifolds: A star product approach
C. Emmrich, H. Roemer
It is known that in the WKB approximation of multicomponent systems like Dirac equation or Born-Oppenheimer approximation, an additional phase appears apart from the Berry phase. S…
Multicomponent WKB and Quantization
C. Emmrich, H. Römer
Hamiltonians whose symbols are not simply real valued, but matrix or, more generally, endomorphism valued functions appear in many places in physics, examples being the Dirac equat…
Geometry of the transport equation in multicomponent WKB approximations
C. Emmrich, A. Weinstein
Although the WKB approximation for multicomponent systems has been intensively studied in the literature, its geometric and global aspects are much less well understood than in the…
Doubly discrete Lagrangian systems related to the Hirota and Sine-Gordon equation
C. Emmrich, N. Kutz
We extend the action for evolution equations of KdV and MKdV type which was derived in [Capel/Nijhoff] to the case of not periodic, but only equivariant phase space variables, intr…
The differential geometry of Fedosov's quantization
Claudio Emmrich, Alan Weinstein
B. Fedosov has given a simple and very natural construction of a deformation quantization for any symplectic manifold, using a flat connection on the bundle of formal Weyl algebras…