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Quantum Entanglement towards scalable Quantum Computing

Saturday, February 27th, 2010

Gibson T. Maglasang Quantum Physics, quantum information science and quantum computing are among the growing field of science and crowning intellectual achievements over the past century. Basically, it involves the storage, manipulation, teleportation and communication of information in quantum systems where great enhancements are possible due to entanglement. In this article, entanglement of a two […]

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Radial Wavefunction of a Hydrogen Atom

Tuesday, February 16th, 2010

Gibson T. Maglasang and John Paul Aseniero In this article, we outlined the necessary steps in calculating the radial wavefunctions [eq]R_{nl}[/eq] for the Hydrogen atom. Thus, the radial wavefunctions particularly [eq]R_{30 [/eq], [eq]R_{31 [/eq] and [eq]R_{32 [/eq] are easily obtained  without bothering to normalize it. We use the formula below to find the wavefunction, [eq]R_{nl}=\frac{1}{r}\rho^{l+1}e^{-\rho}\nu(\rho),[/eq] […]

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Finding the Expectation value for the ground state of a Hydrogen atom

Tuesday, February 16th, 2010

John Paul Aseniero and Gibson T. Maglasang For the particle in the state [eq]\Psi[/eq], the expectation value of x is expressed as [eq]\langle x\rangle = \int_{-\infty}^{+\infty}x|\Psi(x,t)|^2dx[/eq] where the expectation value is the average of repeated measurements on an ensemble of identically prepared systems. In this article, we would like to find [eq]\langle r\rangle[/eq], [eq]\langle r^2\rangle[/eq], […]

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Addition of Spin Angular Momentum

Tuesday, February 16th, 2010

Eric Alcantara, Carlo Paul Morente and Gibson T. Maglasang If you have two particles of spin [eq]S_1[/eq] and [eq]S_2[/eq]. Let [eq]\bf{S}[/eq] be the combined spin of the particles. You can get values of [eq]\bf{S}[/eq] from [eq](S_1+S_2)[/eq] down to [eq](S_1-S_2)[/eq]: [eq]\bf{S} =(S_1+S_2), (S_1+S_2-1), (S_1+S_2-2),\cdot\cdot\cdot(S_1-S_2)[/eq]                (1) We can get then […]

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