A STATISTICAL APPROACH TO QUANTUM MECHANICS
Aug, 198070 pages
Published in:
- Annals Phys. 132 (1981) 427
Report number:
- BNL-28588
Citations per year
Abstract: (Elsevier)
A Monte Carlo method is used to evaluate the Euclidean version of Feynman's sum over particle histories. Following Feynman's treatment, individual paths are defined on a discrete (imaginary) time lattice with periodic boundary conditions. On each lattice site, a continuous position variable x i specifies the spacial location of the particle. Using a modified Metropolis algorithm, the low-lying energy eigenvalues, | ψ 0 ( x )| 2 , the propagator, and the effective potential for the anharmonic oscillator are computed, in good agreement with theory. For a deep double-well potential, instantons were found in our computer simulations appearing as multi-kink configurations on the lattice.- QUANTUM MECHANICS: PATH INTEGRAL
- APPROXIMATION: LATTICE
- BOUNDARY CONDITION
- MODEL: OSCILLATION
- QUANTUM MECHANICS: ENERGY EIGENSTATE
- PROPAGATOR
- APPROXIMATION: EFFECTIVE POTENTIAL
- FIELD EQUATIONS: INSTANTON
- FIELD EQUATIONS: KINK
- EFFECT: TUNNELING
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