2010 March | Quantum Science Philippines
Quantum Science Philippines

Archive for March, 2010

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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2nd-Order Correction

Friday, March 19th, 2010

Rommel J. Jagus Find the 2nd-order correction to the energies [eq](E_n^{2})[/eq] for the potential [eq]H=\alpha \delta (x-\frac{a}{2})[/eq] Solution: [eq] <\Psi_{m}^{0} | H | \Psi_{n}^{0}> = \frac{2} {a} \alpha \int_0^a sin(\frac{m x \pi }{a} ) \delta (x-\frac{a}{2}) sin(\frac{n x \pi }{a})[/eq] [eq] <\Psi_{m}^{0} | H | \Psi_{n}^{0}> =\frac{2} {a} \alpha [a sin(\frac{m \pi }{a} ) sin(\frac{n […]

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Quantum Information Processing with Atoms and Photons

Tuesday, March 16th, 2010

Michael J. Jabines Quantum information science(QIS) is a new field of science and technology, combining and drawing on the disciplines of physical science, mathematics, computer science and engineering. Here, Quantum information processors exploit the quantum features of superposition and entanglement for application not possible in classical devices. It offers the potential for significant improvements in […]

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