Nondivergent classical response functions from uncertainty principle: Quasiperiodic systems
- Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
Time-divergence in linear and nonlinear classical response functions can be removed by taking a phase-space average within the quantized uncertainty volume O(({Dirac_h}/2{pi}){sup n}) around the microcanonical energy surface. For a quasiperiodic system, the replacement of the microcanonical distribution density in the classical response function with the quantized uniform distribution density results in agreement of quantum and classical expressions through Heisenberg's correspondence principle: each matrix element <u|{alpha}(t)|v> corresponds to the (u-v)th Fourier component of {alpha}(t) evaluated along the classical trajectory with mean action (J{sub u}+J{sub v})/2. Numerical calculations for one- and two-dimensional systems show good agreement between quantum and classical results. The generalization to the case of N degrees of freedom is made. Thus, phase-space averaging within the quantized uncertainty volume provides a useful way to establish the classical-quantum correspondence for the linear and nonlinear response functions of a quasiperiodic system.
- OSTI ID:
- 20662247
- Journal Information:
- Journal of Chemical Physics, Vol. 122, Issue 2; Other Information: DOI: 10.1063/1.1827212; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
- Country of Publication:
- United States
- Language:
- English
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