Math @ Duke

Publications [#287125] of Ingrid Daubechies
Papers Published
 Daubechies, I; Klauder, JR, Quantummechanical path integrals with Wiener measure for all polynomial Hamiltonians. II,
Journal of Mathematical Physics, vol. 26 no. 9
(1985),
pp. 22392256, ISSN 00222488
(last updated on 2018/08/21)
Abstract: The coherentstate representation of quantummechanical propagators as welldefined phasespace path integrals involving Wiener measure on continuous phasespace paths in the limit that the diffusion constant diverges is formulated and proved. This construction covers a wide class of selfadjoint Hamiltonians, including all those which are polynomials in the Heisenberg operators; in fact, this method also applies to maximal symmetric Hamiltonians that do not possess a selfadjoint extension. This construction also leads to a natural covariance of the path integral under canonical transformations. An entirely parallel discussion for spin variables leads to the representation of the propagator for an arbitrary spinoperator Hamiltonian as welldefined path integrals involving Wiener measure on the unit sphere, again in the limit that the diffusion constant diverges. © 1985 American Institute of Physics.


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