General Teaching and Research Philosophy

Publications: trial function optimization, van der Waals clusters, regime, critical phenomena (statics and dynamics), ...

1. Chiral exponents of the square-lattice frustrated XY model: a Monte Carlo transfer-matrix calculation, E. Granato and M. P. Nightingale, Phys. Rev. B 48, 7438 (1993).
2. A diffusion Monte Carlo algorithm with very small time-step errors, C. J. Umrigar, M. P. Nightingale, M. P., and K. J. Runge, J. Chem. Phys. 99, 2865 (1993)
3. Many-body trial wave functions for atomic systems and ground states of small noble gas clusters, Andrei Mushinski and M. P. Nightingale, J. Chem. Phys. 101, 8831 (1994).
4. Conformal Anomaly and Critical Exponents of the XY-Ising Model, M. P. Nightingale, E. Granato and J.M. Kosterlitz, Phys. Rev. B 52, 7402 (1995).
5. Monte-Carlo studies of bosonic van der Waals clusters, M. Meierovich, A. Mushinski and M. P. Nightingale,J. of Chemical Phys.105, 6498 (1996).
6. Critical behavior of Josephson-junction arrays at f=1/2, E. Granato, J.M. Kosterlitz, and M. P. Nightingale, Physica B 222, 266 (1996).
7. The dynamic exponent of the two-dimensional Ising model and Monte Carlo computation of the sub-dominant eigenvalue of the stochastic matrix, M. P. Nightingale and H.W.J. Blöte, Phys. Rev. Lett. 76, 4548, 1996.
8. Transfer-matrix Monte Carlo estimates of critical points in the simple cubic Ising, planar and Heisenberg models, M. P. Nightingale and H.W.J. Blöte, Phys. Rev. B 54, 1001, 1996.
9. Van der Waals clusters in the ultra-quantum limit: a Monte Carlo study, M. Meierovich, A. Mushinski, and M. P. Nightingale, J. Chem. Phys.105, 6498 (1996).
10. Monte Carlo Optimization of Trial Wave Functions in Quantum Mechanics and Statistical Mechanics, M. P. Nightingale and C.J. Umrigar, In of Trial Wave Functions in Quantum Mechanics and Statistical Mechanics, M. P. Nightingale and C.J. Umrigar, In "Recent Advances in Quantum Monte Carlo Methods," edited by W.A. Lester. (World Scientific, April 1997).
11. Accuracy of Electronic Wave Functions in Quantum Monte Carlo: the Effect of High-Order Correlations, Chien-Jung Huang, C. J. Umrigar, and M. P. Nightingale. J. Chem. Phys. 107, 3007(1997).
12. Universal Dynamics of Independent Critical Relaxation Modes, M. P. Nightingale and H.W.J. Blöte, Phys. Rev. Lett. 80, 1007 (1998).
13. Monte Carlo Eigenvalue Methods in Quantum Mechanics and Statistical Mechanics, M. P. Nightingale and C. J. Umrigar, Advances in Chemical Physics, Vol. 105, Monte Carlo Methods in Chemistry, edited by David M. Ferguson, J. Ilja Siepmann, and Donald G. Truhlar, series editors I. Prigogine and Stuart A. Rice, (John Wiley & Sons, New York, 1999) page 65.
14. Basics, Quantum Monte Carlo and Statistical Mechanics, M. P. Nightingale, in Quantum Monte Carlo Methods in Physics and Chemistry, edited by M. P. Nightingale and C. J. Umrigar, NATO Science Series, Series C; Mathematical and Physical Sciences - Vol. 525 (Kluwer 1999).
15. Quantum Monte Carlo Methods in Statistical Mechanics, Vilen Melik-Alaverdian and M. P. Nightingale, International Journal of Modern Physics C 10, 1409 (2000).
16. Monte Carlo computation of correlation times of independent relaxation modes at criticality, M. P. Nightingale and H.W.J. Blöte, Physical Review B 62, 1089 (2000).
17. Optimization of ground and excited state wave functions and van der Waals clusters, M. P. Nightingale and Vilen Melik-Alaverdian, Phys. Rev. Lett. 87, 43401 (2001).
18. Trial function optimization for excited states of van der Waals clusters, M. P. Nightingale and Vilen Melik-Alaverdian, Recent Advances in Quantum Monte Carlo Methods - Part II, Series: Recent Advances in Computational Chemistry (Vol 2). edited by W. A. Lester, Jr., S. M. Rothstein, and S. Tanaka. World Scientific, Singapore (2002) p. 127
19. Inter-dimensional degeneracies in van der Waals clusters, M. P. Nightingale. (seminar)
20. Surface and bulk transitions in three-dimensional O(n) models,. Youjin Deng, Henk W.J. Blöte, and M. P. Nightingale, Phys. Rev. E 72, 016128 (2005)
21. Inter-dimensional degeneracies in van der Waals clusters and quantum Monte Carlo computation of rovibrational states, M. P. Nightingale and Mervlyn Moodley, J. Chem. Phys. 123, 14304 (2005)
22. Excited States of Weakly Bound Bosonic Clusters: Discrete Variable Representation and Quantum Monte Carlo , M. P. Nightingale and P.-N. Roy, J. Chem. Phys. A, 110, 5394 (2006)
23. Comment by X.-G. Wang and T. Carrington and Reply about Optimization of ground and excited state wave functions and van der Waals clusters, Phys. Rev. Lett. 98, 119302 (2007)