Jastrow

In the diflfiision QMC (DMC) method [114. 119], the evolution of a trial wavefiinction (typically wavefiinctions of the Slater-Jastrow type, for example, obtained by VMC) proceeds in imaginary time, i = it, according to the time-dependent Schrodinger equation, which then becomes a drfifiision equation. All... 

Ikan R, Rubinsztain Y, Nissenbaum A, Kaplan IR (1996) Geochemical aspects of the Maillard reaction. In Ikan R (ed) The maillard reaction consequences for the chemical and life sciences. Wiley, Chichester, UK, pp 1-25 Jastrow JD, Miller RM (1998) Soil aggregate stabilization and carbon sequestration feedbacks through organomineral associations. In Lai R, Kimble JM,... 

For systems where the mineralization rate is dependent on the substrate concentration, first-order kinetics can be used to describe carbon turnover (Paul and Clark 1989 Six and Jastrow 2002). The first-order rate equation is... 

Six J, Jastrow JD (2002) Organic matter turnover. In Lai R (ed) Encyclopedia of soil science. Marcel Dekker, New York, pp 936-942... 

H. Jastrow, G. Ertingshausen und D. Kramer Polyacetylenverbindungen. LIII. Mitt. Synthe.se natiirlicher Acetylcnverbindungen aus dcm Tribus Anthemideae L. Chem. Ber. 97, 801 (1964). 

Of course the cusp can be represented by including the interparticle distances in a trial wave functions, most simply by means of Jastrow factors, exponentials of the inter-particle distances. But the problems of integral evaluation with such fac-... 

In which we encounter Einstein, Rumi, God, the anthropic principle, Stephen Hawking, the Bible, Proust s hyper-realities. The Lobotomy Club, Sushi Never Sleeps, acto/5, brain surgery, Italian filmmaking, neorealism, stellar nucleosynthesis, the Big Bang, Paul Davies, Frank Tipler, Marcel Proust, H. P Lovecrafi, Andrei Linde, Sir Fred Hoyle, Rudy Rucker, Robert Jastrow, The Templeton Foundation, multiple universes, Paul Kammerer, synchronicity, and the shoreless sea of love. 

Robert Jastrow, the head of NASA s Goddard Institute for Space Studies, called this the most powerful evidence for the existence of God ever to come out of science. Other amazing parameters abound. If all of the stars in the universe were heavier than three solar masses, they would live for only about 500 million years, and life would not have time to evolve beyond primitive bacteria. Stephen Hawking has estimated that if the rate of the universe s expansion one second after the Big Bang had been smaller by even one part in a hundred thousand million million, the universe would have recollapsed.The universe must live for billions of years to permit time for intelligent life to evolve. On the other hand, the universe might have expanded so rapidly that protons and electrons never united to make hydrogen atoms. 

Jastrow, Robert, The Astronomer and God. In Varghese, Roy Abraham (editor), The Intellectuals Speak Out About God (Chicago Regnery Gateway, 1984), 22. 

Jastrow, J. D., Miller, R. M., and Lussenhop, J. (1998). Contributions of interacting biological mechanisms to soil aggregate stabilization in restored prairie. Soil Biol. Biochem. 30(7), 905-916. 

Gross RA, Macdonald RL, Ryan-Jastrow T (1989) 2-Chloroadenosine reduces the N calcium current of cultured mouse sensory neurones in a pertussis toxin-sensitive manner. J Physiol 411 585-95... 

In Eq. (54) there appears a new Hamiltonian containing the additional Hamiltonians HM and H 2 The latter contain two- and three-particle operators, respectively. Although the new Hamiltonian operates to the right over the single Slater determinant we have on the left the presence of the correlation term C2. For a Jastrow-type correlating factor C = n (l + 4>x ) the energy expression gives rise to a cluster expansion... 

The quality of a variational quantum Monte Carlo calculation is determined by the choice of the many-body wavefunction. The many-body wavefunction we use is of the parameterized Slater-Jastrow type which has been shown to yield accurate results both for the homogeneous electron gas and for solid silicon (14) (In the case of silicon, for example, 85% of the fixed-node diffusion Monte Carlo correlation energy is recovered). At a given coupling A, 4>A is written as... 

Jastrow TR, Richfield E, Gnegy ME (1984) Quantitative autoradiography of [3H]sulpiride binding sites in rat brain. Neurosci Lett 57 47-53. 

The function T is not provided by the QMC method. It need not be highly accurate in all regions in space, but it must have accurate nodal surfaces in 3n-dimensional space, and it must be accurate near singularities of V. In practice, simple SCF wave functions provide sufficiently accurate nodal surfaces, and symmetrical Jastrow factors [ll] that serve to satisfy... 

Miller, R. M., Reinhardt, D. R. Jastrow, J. D. (1995). External hyphal production of vesicular-arbuscular mycorrhizal fungi in pasture and tallgrass prairie communities. Oecologia, 103, 17-23. 

Now let us look at the paper. Eqn. (1) gives the form of the transcorrelated wave function C0, where C = li >jfiri,rj) is a Jastrow factor, and is a determinant. This compact wave function includes the effects of electron correlation through the introduction of r in C. The form C0 is taken as the trial wave function in quantum Monte Carlo (QMC) molecular computations today. Indeed the explicit form for/(r r,j is most often used by the QMC community. The transcorrelated wave function was obtained by solving (C //C - W) = 0, which Boys called the transcorrelation wave equation. Because C //C is a non-Hermitian operator, it was important to devise independent assessments of the accuracy of the wavefunction C0. 

June 12, 1967 Venera 4, atm. probe First successful atmospheric probe on Oct. 18, 1967 showed CO2 is major gas see Jastrow and Rasool (1969)... 

Miller R. M. and Jastrow J. D. (1992) The role of mycorrhizal fungi in soil conservation. In Mycorrhizae in Sustainable Agriculture (eds. C. J. Bethlenfalvay and R. G. Linderman). Soil Science Society of America, pp. 29-44. 

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