Path integral methods

When quantum effects are large, the PF can be evaluated by path integral methods [H], Our exposition follows a review article by Gillan [12], Starting with the canonical PF for a system of particles... 

Berne B J and Thirumalai D 1986 On the simulation of quantum systems path integral methods Ann. Rev. Rhys. Chem. 37 401... 

Hi) The use of quantum methods to obtain correct statistical static (but not dynamic) averages for heavy quantum particles. In this category path-integral methods were developed on the basis of Feynman s path... 

For an introduction to excited states via path integral methods see... 

PATH INTEGRAL METHODS FOR THE TREATMENT OF NUCLEAR QUANTUM EFFECTS... 

Wong K-Y, Gao J (2007) An automated integration-free path-integral method based on Kleinert s variational perturbation theory. J Chem Phys 127(21) 211103... 

Schweizer, K.S. Stratt, R.M. Chandler, D. Wolynes, P.G., Convenient and accurate discretized path integral methods for equilibrium quantum mechanical calculations, J. Chem. Phys. 1981, 75, 1347-1364... 

Pollock, E.L. Ceperley, D.M., Simulation of quantum many-body systems by path-integral methods, Phys. Rev. B 1984, 30, 2555-2568... 

Path integrals can be expressed directly in Cartesian coordinates [1, 2] or can be transformed to Fourier variables [1,2,20,45]. A Fourier path integral method will be used here [20]. The major reason for doing this is that length scales are directly built... 

Using path integral methods, Feynman [2] showed that the Feynman-Hibbs form for the harmonic oscillator free energy is... 

Mielke, S. L. Truhlar, D. G., A new Fourier path integral method, a more general scheme for extrapolation, and comparison of eight path integral methods for the quantum mechanical calculation of free energies, J. Chem. Phys. 2001,114, 621-630... 

The best way to extract physics from the present experiment quantitatively is applying the Feynman s path integral method [14,15] fully to the dynamics of the nuclei and the electron. The action that determines HHG in a molecule i reads... 

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