Prof. John R. Klauder

Department of Physics and Mathematics, University of Florida

Coherent State Path Integrals without Resolution of Unity

５月２０日（月）14:00-15:00

駒場１６号館４階ゼミ室（４１０）

From the very beginning, coherent state path integral have always relied on a coherent state resolution of unity for their construction. By choosing an inadmissible fiducial vector, a set of ``coherent states'' spans the same space but loses its resolution of unity, and for that reason has been called a set of weak coherent states. Despite having no resolution of unity, it is nevertheless shown how the propagator in such a basis may admit a phase-space path integral representation in essentially the same form as if it had a resolution of unity.