We present both semiclassical asymptotics for the wave equation on a stationary Kaluza-Klein spacetime and an index theorem describing the difference of the positive-frequency
spectral projectors for two stationary regions in a globally hyperbolic spacetime. The
first result involves analyzing the restrictions of the wave trace to isotypic subspaces for...
Quantum mechanical phenomena are playing tremendous roles in many areas of chemistry and materials science research. In recent years, the potential role of coupling between electronic and vibrational degrees of freedom in photochemical processes has been widely researched. Despite its potential to improve molecular technologies, the lack of studies focusing...