Energy levels by path integration

Article Abstract:

Mathematician Mark Kacs devised a new method of determining the energy of the groundstates of atoms that have more than one electron. Kacs made this finding while seeking to give a firmer mathematical foundation to Richard Feynman's description of how quantum mechanics would affect the movement of electrons through two parallel slits in an otherwise impenetrable material. Feynman found that all parts of a quantum system help to bring about the free movement of electrons. Kracs clarified Feynman's approach by modifying Wiener's definition of path integration.

Quantum theory, Quantum mechanics, Feynman, Richard P., Kacs, Mark

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Calculating the energy of fullerenes

Article Abstract:

An allotrope of carbon, C60, which was discovered accidentally in soot, has prompted scientists to calculate its usefulness in the laboratory. Theorists had not paid much attention to the fullerene till its discovery in soot. According to J. Bernholc and A. Maiti of the University of North Carolina, the discovery is just the beginning and understanding its uses will take a long time. The energy of fullerene is calculated by molecular dynamics, and spurious energy minima are prevented by adding an artificial symmetry on the system.

Carbon allotropes

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Towards unequal partition of energy?

Article Abstract:

Researchers have simulated the collision of a set of classical particles moving in one dimension in a simple confining box such that energy could be lost in the process. This simulation challenges the theory of equipartition of energy, whereby energy is distributed equally among interacting particles. However, the applicability of this simulation in three-dimensional hydrodynamics is uncertain.

Analysis, Force and energy, Energy dissipation

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