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Quantum Mechanics Violating Bell’s Inequality

Saturday, March 20th, 2010

Lotis R. Racines Einstein never liked quantum mechanics. He didn’t like the idea that the momentum of a particle, if it’s position was known, was completely unknowable: that is, random [1]. He even said that: “God does not play dice with the universe.” which was referred to Copenhagen Interpretation of quantum mechanics that there exists […]

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Three Dimensional Virial Theorem for the Hydrogen Atom

Saturday, March 20th, 2010

Catherine Therese J. Quiñones The virial theorem is a general theorem relating the potential energy (V) and the kinetic energy (T) in a bound system.  A simple physical example is a small object orbiting around another object  bound by a force as in the case of a hydrogen atom. The average kinetic energy and potential […]

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BATTLING DECOHERENCE: THE FAULT-TOLERANT QUANTUM COMPUTER

Saturday, March 20th, 2010

EDWIN B. FABILLAR Introduction Information carried by a quantum system has notoriously weird properties. Physicists and engineers are now learning how to put that weirdness to work. Quantum computers, which manipulate quantum states rather than classical bits, may someday be able to perform tasks that would be inconceivable with conventional digital technology. A particularly daunting […]

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AN UNDULATORY THEORY OF THE MECHANICS OF ATOMS AND MOLECULES by E. Schrodinger

Friday, March 19th, 2010

EDMAR G. PANTOHAN This report is based on the very interesting researches of L. de Broglie on what he called “phase waves”. The advantages of the wave theory, The laws of motion and quantum condition can be derived from Hamiltonian principle. The discrepancy between the frequency of motion and frequency of emission disappears when the […]

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Perturbation of a 3-dimensional infinite cubical well

Friday, March 19th, 2010

Karl Patrick S. Casas Consider a three-dimensional infinite cubical well [eq]V(x,y,z)=\left\{ \begin{array} {cccccc} 0, & if &0<x<a,& 0<y<a,& and& 0<z<a \\ \infty, &otherwise& & & & \\ \end{array}[/eq] The stationary states are [eq]\psi^{0}_{n_x,n_y,n_z}(x,y,z)=\left(2/a\right)^{3/2}\sin\left(\frac{n_x \pi}{a}x\right)\sin\left(\frac{n_y \pi}{a}y\right)\sin\left(\frac{n_z \pi}{a}z\right)[/eq] and the allowed ground state energy is given by [eq]E^0_0=3\frac{\pi^2\hbar^2}{2ma^2}[/eq] . The first excited state is triply degenerate, [eq]E^0_1=3\frac{\pi^2\hbar^2}{ma^2}[/eq] […]

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