92 citations · 178 across the 8 of their papers we have counts for
8 papers
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…
Subalgebras with Converging Star Products in Deformation Quantization: An Algebraic Construction for $\complex \mbox{\LARGE P}^n$
M. Bordemann, M. Brischle, C. Emmrich +1
Based on a closed formula for a star product of Wick type on $\CP^n$, which has been discovered in an earlier article of the authors, we explicitly construct a subalgebra of the fo…
Phase Space Reduction for Star-Products: An Explicit Construction for CP^n
M. Bordemann, M. Brischle, C. Emmrich +1
We derive a closed formula for a star-product on complex projective space and on the domain using a completely elementary construction: Starting from t…
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…