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	<title>Quantum Science Philippines</title>
	<link>http://www.quantumsciencephilippines.com</link>
	<description>Quantum Mechanics problems and solutions by Philippine science students</description>
	<lastBuildDate>Tue, 15 Jun 2010 03:53:25 +0000</lastBuildDate>
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	<item>
		<title>LOWEST-ORDER RELATIVISTIC ENERGY CORRECTION OF 1-D HARMONIC OSCILLATOR</title>
		<description><![CDATA[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. [...]]]></description>
		<link>http://www.quantumsciencephilippines.com/1811/lowest-order-relativistic-energy-correction-of-1-d-harmonic-oscillator/</link>
			</item>
	<item>
		<title>On the EPR paper &#8220;Can Quantum-Mechanical Description of Physical Reality be Considered Complete?&#8221;</title>
		<description><![CDATA[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 [...]]]></description>
		<link>http://www.quantumsciencephilippines.com/2348/on-the-famous-einstein-podolsky-rosen-epr-paper-can-quantum-mechanical-description-of-a-physical-reality-be-considered-complete/</link>
			</item>
	<item>
		<title>Commutation of Spin, Angular and Spin-Orbital Momentum</title>
		<description><![CDATA[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 [...]]]></description>
		<link>http://www.quantumsciencephilippines.com/1896/commutation-of-spin-angular-and-spin-orbital-momentum/</link>
			</item>
	<item>
		<title>Quantum Mechanics Violating Bell&#8217;s Inequality</title>
		<description><![CDATA[Lotis R. Racines



Einstein never liked quantum mechanics. He didn&#8217;t like the idea that the momentum of a particle, if it&#8217;s position was known, was completely unknowable: that is, random [1]. He even said that: &#8220;God does not play dice with the universe.” which was referred to Copenhagen Interpretation of quantum mechanics that there exists no [...]]]></description>
		<link>http://www.quantumsciencephilippines.com/1276/quantum-mechanics-violating-bells-inequality/</link>
			</item>
	<item>
		<title>Three Dimensional Virial Theorem for the Hydrogen Atom</title>
		<description><![CDATA[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,
       [...]]]></description>
		<link>http://www.quantumsciencephilippines.com/1897/three-dimensional-virial-theorem-for-the-hydrogen-atom/</link>
			</item>
	<item>
		<title>BATTLING DECOHERENCE: THE FAULT-TOLERANT QUANTUM COMPUTER</title>
		<description><![CDATA[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 difficulty is [...]]]></description>
		<link>http://www.quantumsciencephilippines.com/2037/battling-decoherence-the-fault-tolerant-quantum-computer/</link>
			</item>
	<item>
		<title>AN UNDULATORY THEORY OF THE MECHANICS OF ATOMS AND MOLECULES by E. Schrodinger</title>
		<description><![CDATA[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 latter frequencies coincide [...]]]></description>
		<link>http://www.quantumsciencephilippines.com/1996/an-undulatory-theory-of-the-mechanics-of-atoms-and-molecules-by-e-schrodinger/</link>
			</item>
	<item>
		<title>Perturbation of a 3-dimensional infinite cubical well</title>
		<description><![CDATA[Karl Patrick S. Casas
Consider a three-dimensional infinite cubical well


The stationary states are

and the allowed ground state energy is given by

.
The first excited state is triply degenerate,

and we denote each degenerate state as

Now, we introduce the perturbation   (shown in the figure above),

We can get the first-order correction to the ground state energy by


Using the integral formula,
.
And [...]]]></description>
		<link>http://www.quantumsciencephilippines.com/1717/perturbation-of-a-3-dimensional-infinite-cubical-well/</link>
			</item>
	<item>
		<title>2nd-Order Correction</title>
		<description><![CDATA[Rommel J. Jagus
Find the 2nd-order correction to the energies  for the potential 
Solution:


This is zero unless both m and n are odd in which case it is 

But

So,

Since  
For n=1

&#8230;

For n=3

&#8230;

Therefore
 if n is even
 if n is odd
Source: Problem 6.4 A in “Introduction to Quantum Mechanics&#8221; by David J. Griffiths
]]></description>
		<link>http://www.quantumsciencephilippines.com/1844/2nd-order-correction/</link>
			</item>
	<item>
		<title>Quantum Information Processing with Atoms and Photons</title>
		<description><![CDATA[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 [...]]]></description>
		<link>http://www.quantumsciencephilippines.com/1802/quantum-information-processing-with-atoms-and-photons/</link>
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