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math-ph1998★ 8 cited
A rigorous path integral for quantum spin using flat-space Wiener regularization
Bernhard Bodmann, Hajo Leschke, Simone Warzel
Adapting ideas of Daubechies and Klauder [J. Math. Phys. {\bf 26} (1985) 2239] we derive a rigorous continuum path-integral formula for the semigroup generated by a spin Hamiltonia…
quant-ph1998
A rigorous path-integral formula for quantum-spin dynamics via planar Brownian motion
Bernhard Bodmann, Hajo Leschke, Simone Warzel
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…