A Rigorous Path-integral Formula for Quantum Spin Dynamics via Planar Brownian Motion
نویسنده
چکیده
Adapting ideas of Daubechies and Klauder we derive a continuum path-integral formula for the time evolution generated by a spin Hamiltonian. For this purpose we identify the finite-dimensional spin Hilbert space with the ground-state eigenspace of a suitable Schödinger operator on L(R), the Hilbert space of square-integrable functions on the Euclidean plane R, and employ the Feynman-Kac-Itô formula.
منابع مشابه
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تاریخ انتشار 1999