Localized quantum wave packets can be produced in a variety of physical systems and are the subject of much current research in atomic, molecular, chemical, and condensed-matter physics. They are particularly well suited for studying the classical limit of a quantum-mechanical system. The motion of a localized quantum wave packet initially follows the corresponding classical motion. However, in most cases the quantum wave packet spreads and undergoes a series of collapses and revivals. We present a generic treatment of wave-packet evolution, and we provide conditions under which various types of revivals occur in ideal form. The discussion is at a level appropriate for an advanced undergraduate or first-year graduate course in quantum mechanics. Explicit examples of different types of revival structure are provided, and physical applications are discussed.
Blood forms of human vivax malaria infected splenectomized night monkeys (Aotus trivirgatus). Anopheles albimanus mosquitoes transmitted the in fection from a monkey to two human volunteers; parasites and symptoms ap peared 11 days later. Blood forms of vivax malaria from each of the two humans infected other night monkeys.
We incorporate density dependence into continuum Born-Green-Yvon (BGY) theory through calculation of the end-to-end intramolecular correlation function. Whereas in previous studies we had only performed this calculation for the case of an isolated (zero-density) square-well chain of m segments (3=m=7), here we consider this single chain to have been placed in a square-well monomeric fluid of variable density. We find that the results obtained by this more sophisticated approach are in good agreement with the predictions of both other theories and simulation concerning the structural properties of short chains. Using a homologous series of n-alkanes as a test case, we also conclude that BGY theory, with the current modifications, is capable of describing fluid properties for heptane (n-C7) through nonadecane (n-C19).
The thermodynamic and statistical properties of square-well hexamers, octamers, and hexadecamers have been studied using the Born–Green–Yvon method. We have obtained concentration- and temperature-dependent site–site correlation functions for each system and have used these results to predict the equation of state and the phase diagram. Where possible we have compared our results with those obtained using Monte Carlo simulations and other theoretical methods.
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