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13
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85033190113
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note
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All operators will be denoted by a "hat," so that it is easy to identify whether a quantum statistical average 〈⋯〉 is to be understood in the operator or path-integral sense.
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15
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85033187139
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note
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2〉.
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16
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0004016061
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Wiley, New York
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See, e.g., E. Merzbacher, Quantum Mechanics, 2nd ed. (Wiley, New York, 1970), p. 168.
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Merzbacher, E.1
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17
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85033185862
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note
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We would still have a valid energy estimator, though, as for any choice of α. 16 With regard to the "best" estimate, given in Table I.
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18
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0011653947
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Bosonic Algorithms
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edited by M. Creutz World Scientific, Singapore
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A. D. Sokal, Bosonic Algorithms, in Quantum Fields on the Computer, edited by M. Creutz (World Scientific, Singapore, 1992), p. 211.
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Sokal, A.D.1
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R. G. Miller, Biometrika 61, 1 (1974); B. Efron, The Jackknife, the Bootstrap and other Resampling Plans (SIAM, Philadelphia, Pennsylvania, 1982).
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R. G. Miller, Biometrika 61, 1 (1974); B. Efron, The Jackknife, the Bootstrap and other Resampling Plans (SIAM, Philadelphia, Pennsylvania, 1982).
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N. Metropolis, and S. Ulam, J. Am. Stat. Ass. 44, 335 (1949); N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
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T. Sauer, Ph.D. thesis, FU Berlin (1994).
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J. Goodman and A. D. Sokal, Phys. Rev. Lett. 56, 1015 (1986); Phys. Rev. D 40, 2035 (1989); G. Mack, in Nonperturbative Quantum Field Theory, Cargèse 1987, edited by G. 't Hooft et al. (Plenum, New York, 1988), p. 309; G. Mack and S. Meyer, Nucl. Phys. B (Proc. Suppl.) 17, 293 (1990); D. Kandel, E. Domany, D. Ron, A. Brandt, and E. Loh, Jr., Phys. Rev. Lett. 60, 1591 (1988); D. Kandel, E. Domany, and A. Brandt, Phys. Rev. B 40, 330 (1989).
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44
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85033161749
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note
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e sweep. Here we have rescaled the measured autocorrelation times to units of sweeps.
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45
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85033164949
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note
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e to be obtain the data points in the figures.
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46
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85033182801
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note
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This is, in fact, what we expect on general theoretical grounds.
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47
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85033183932
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note
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For the Metropolis algorithm the autocorrelation times of the two estimators differ so much for L≥128 that it makes no sense to compute the combined estimator.
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