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LOWEST-ORDER RELATIVISTIC ENERGY CORRECTION OF 1-D HARMONIC OSCILLATOR

Monday, March 22nd, 2010

Lotis R. Racines and Edwin B. Fabillar
In quantum mechanics, relativistic correction to the energy levels of a system is used when it is introduced by a little disturbance we often recognized as . Fine structure is an example of this where the splitting of spectral lines of atoms is due to its first-order relativistic corrections. [...]

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On the EPR paper “Can Quantum-Mechanical Description of Physical Reality be Considered Complete?”

Sunday, March 21st, 2010

LUTCHIE DYAN S. MENDOZA
In the May 15, 1935 issue of Physical Review , Albert Einstein co-authored a paper with his two postdoctoral research associates at the Institute for Advanced Study, Boris Podolsky and Nathan Rosen. The paper, known as EPR, became a centerpiece in debates, challenging the validity of Quantum Theory.
The paper features a striking [...]

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Commutation of Spin, Angular and Spin-Orbital Momentum

Saturday, March 20th, 2010

Marichu T. Miscala
In quantum mechanics, the presence of spin-orbit coupling gives rise to the Hamiltonian that will no longer commute with , and , so the spin and orbital momenta are not separately conserved.
In order to understand this concept better, a commutation problem for orbital angular momentum , spin , and spin-orbital momentum is presented here.

Consider [...]

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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 no [...]

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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 (KE) in a bound system.  A simple physical example is a small object orbiting around another object  bound by a force. The virial theorem states that the potential energy is twice the kinetic energy thus,
       [...]

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