References
- Ceperley DM. Path integrals in the theory of condensed helium. Rev Mod Phys. 1995;67:279–355.
- Sarsa A, Schmidt KE, Magro WR. A path integral ground state method. J Chem Phys. 2000;113:1366–1371.
- Foulkes WMC, Mitas L, Needs RJ, Rajagopal G. Quantum Monte Carlo simulations of solid. Rev Mod Phys. 2001;73:33–83.
- Miura S. Molecular dynamics algorithms for quantum Monte Carlo methods. Chem Phys Lett. 2009;482:165–170.
- Miura S. A variational path integral molecular dynamics study of a solid helium-4. Comput Phys Commun. 2011;182:274–276.
- Miura S. A particle-based method for generating exact quantum many-body states. In: Omata S, Svadlenka K, editors. GAKUTO international series—mathematical sciences and applications. Vol. 34. Tokyo: GAKKŌ TOSHO; 2011. p. 129–138.
- Miura S. A variational path integral molecular dynamics method applied to molecular vibrational fluctuations. Mol Simul. 2012;38:378–383.
- Miura S. Molecular dynamics and hybrid Monte Carlo algorithms for the variational path integral with a fourth order propagator. In: Tanaka S, Rothstein S, Lester W, editors. Advances in quantum Monte Carlo. Vol. 1094, The ACS Symposium Series. Washington (DC): American Chemical Society; 2012, Chapter 14 p. 177–186.
- Miura S. Variational path integral molecular dynamics study of small para-hydrogen clusters. In: Nishikawa K, Marauni J, Brandas EJ, Delgado-Barrio G, Piecuch P, editors. Quantum systems in chemistry and physics. Vol. 26, Progress in Theoretical Chemistry and Physics. Dordrecht: Springer; 2012, Chapter 23 p. 427–447.
- Miura S. Variational path integral molecular dynamics study of a water molecule. J Phys Conf Ser. 2013;454:012023(6 pp.).
- Baroni S, Moroni S. Reptation quantum Monte Carlo: a method for unbiased ground-state averages and imaginary-time correlations. Phys Rev Lett. 1999;82:4745–4748.
- Chandler D, Wolynes PG. Exploiting the isomorphism between quantum theory and classical statistical mechanics of polyatomic fluids. J Chem Phys. 1981;74:4078–4095.
- Kashiwa T, Ohnuki Y, Suzuki M. Path integral methods. Oxford: Oxford University Press; 1997.
- Feynman RP, Hibbs AR. Quantum mechanics and path integrals. New York: McGraw-Hill; 1965.
- Schweizer KS, Stratt RM, Chandler D, Wolynes PG. Convenient and accurate discretized path integral methods for equilibrium quantum mechanical calculations. J Chem Phys. 1981;75:1347–1364.
- Tuckerman M, Berne BJ, Martyna GJ, Klein ML. Efficient molecular dynamics and hybrid Monte Carlo algorithms for path integrals. J Chem Phys. 1993;99:2796–2808.
- Miura S, Tanaka J. Path integral hybrid Monte Carlo algorithm for correlated Bose fluids. J Chem Phys. 2004;120:2160–2168.
- Jang S, Jang S, Voth GA. Applications of higher order composite factorization schemes in imaginary time path integral simulations. J Chem Phys. 2001;115:7832–7842.