2010 February | Quantum Science Philippines
Quantum Science Philippines

Archive for February, 2010

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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Addition of Angular Momenta

Thursday, February 11th, 2010

Sandra Manulat and Michael Jabines Consider two spin 3/2 particles at the ground state. Suppose that their total spin is 2 with its z-component equal to zero. If you measure [eq]J_z[/eq] on the second particle, what values would you get and the probabilities of measuring such? In order to answer the problem, we first need […]

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Quantum Mechanics in Three Dimension: Angular Momentum and Probabilities

Wednesday, February 10th, 2010

Hananish Joy Odarve and Edmar Pantohan In this article, we want to show that given the state occupied by an electron in a hydrogen atom, one can measure the operators [eq]L^2[/eq] , [eq]S^2[/eq] , [eq]L_z[/eq], [eq]S_z[/eq], [eq]J^2[/eq] and [eq]J_z[/eq] and its corresponding probabilities. Lets look at an example to get a clearer picture of these […]

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Quantum Mechanics in Three-Dimensions: The Radial Equation

Monday, February 8th, 2010

Hananish Joy G. Odarve and Majvell Kay G. Odarve The wavefunction, or quantum state, is a complete description that can be given into a physical system. The Schrodinger equation can describe how the wavefunction changes as time propagates. A particle state, for example, can be determined by solving the Schrodinger equation. Since the potential of […]

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