@article {4181,
	title = {Chain relations of reduced distribution functions and their associated correlation functions},
	journal = {Journal of Chemical Physics},
	volume = {108},
	number = {2},
	year = {1998},
	note = {ISI Document Delivery No.: YP022Times Cited: 2Cited Reference Count: 33},
	month = {Jan},
	pages = {706-714},
	type = {Article},
	abstract = {For a closed system, the integration (trace in the quantum case) over one particle of a reduced distribution function is related to the reduced distribution function of one lower order, The particular details of this "chain" relation depend sensitively on the detailed manner in which the reduced distribution functions are defined, specifically their normalization. Correlation functions are defined in terms of reduced distribution functions, which fixes the normalization of the correlation functions and, provided they exist, their associated chain relations. Chain relations for the correlation functions are shown to exist for normalizations of generic type but not for normalizations of specific type. The normalization requirement is shown, in general, to prevent the direct association of correlation functions with physical clusters, which is commonly assumed in the literature, These relations are illustrated for an ideal gas of monomers and dimers. The effect of taking the thermodynamic limit on the chain relations for this system is discussed. This illustrates how the thermodynamic limit generally destroys the chain relations. (C) 1998 American Institute of Physics.},
	keywords = {BOUND-STATES, DECAY, DIMER FORMATION, KINETIC-EQUATIONS, MECHANICS, QUANTUM},
	isbn = {0021-9606},
	url = {<Go to ISI>://000071233400037},
	author = {Alavi, S. and Wei, G. W. and Snider, R. F.}
}
@article {3771,
	title = {Comparison of positive flux operators for transition state theory using a solvable model},
	journal = {Journal of Chemical Physics},
	volume = {104},
	number = {18},
	year = {1996},
	note = {ISI Document Delivery No.: UJ114Times Cited: 16Cited Reference Count: 34},
	month = {May},
	pages = {7015-7026},
	type = {Article},
	abstract = {Several quantum operators representing {\textquoteright}{\textquoteright}positive flux{\textquoteright}{\textquoteright} are compared for the square barrier by examining their ability to reproduce the exact transmittance when traced with the exact microcanonical density operator. They are obtained by means of the {\textquoteright}{\textquoteright}Weyl rule,{\textquoteright}{\textquoteright} the {\textquoteright}{\textquoteright}Rivier rule,{\textquoteright}{\textquoteright} by symmetrizing the product of {\textquoteright}{\textquoteright}flux{\textquoteright}{\textquoteright} and {\textquoteright}{\textquoteright}positive momentum projection{\textquoteright}{\textquoteright} operators, acid by a variational technique. Explicit expressions are given for all cases. (C) 1996 American Institute of Physics.},
	keywords = {QUANTUM, RATE CONSTANTS},
	isbn = {0021-9606},
	url = {<Go to ISI>://A1996UJ11400012},
	author = {Muga, J. G. and Delgado, V. and Sala, R. and Snider, R. F.}
}
@article {3772,
	title = {Survival probability for the Yamaguchi potential},
	journal = {Annals of Physics},
	volume = {252},
	number = {2},
	year = {1996},
	note = {ISI Document Delivery No.: VY568Times Cited: 14Cited Reference Count: 40},
	month = {Dec},
	pages = {336-356},
	type = {Article},
	abstract = {Different decay behaviours of the survival probability are examined. Technically, the survival probability of an arbitrary state psi is determined by the psi matrix element of the resolvent of the full Hamiltonian. The analytical properties of this matrix element can be analyzed in terms of the properties of the kernel of the Lippmann-Schwinger equation. For the Yamaguchi potential and several initial states, all functions are explicitly calculated. This approach allows the decomposition of the survival amplitude into a sum of decaying exponential terms and w-functions associated with the pole positions of the resolvent matrix element in the complex momentum plane. Novel decay behaviours are found for the decay of states associated with the resolvent poles and the decay of a state which is dominated by the form of the wave function rather than by the resolvent poles. Certain anomalous short time decay behaviour is also exemplified. (C) 1996 Academic Press, Inc.},
	keywords = {EVOLUTION, EXPONENTIAL DECAY LAW, MOMENTUM REPRESENTATION, QUANTUM, resonant states, time},
	isbn = {0003-4916},
	url = {<Go to ISI>://A1996VY56800005},
	author = {Muga, J. G. and Wei, G. W. and Snider, R. F.}
}
