Quantum Physics | Quantum Science Philippines
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Archive for the 'Quantum Physics' Category

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] […]

Posted in Quantum Physics, Quantum Science Philippines, Wavefunctions | 2 Comments »

Simple Quantum System:Infinite Square Well Potential

Monday, August 31st, 2009

We investigate the properties of a simple quantum system consisting of a particle in a one-dimensional infinite square well potential.

Posted in Eigenvalues And Eigenvectors, Quantum Physics, Quantum Science Philippines | 2 Comments »

Perturbation Theory: Quantum Oscillator Problem

Monday, April 20th, 2009

by ANCELIE C. ROSALES In quantum mechanics, the perturbation theory is a very important mathematical tool which is used to approximate physical quantities that describe complicated quantum systems based on our knowledge on the simpler ones. It tells us how to correct the solutions to the unperturbed or undisturbed problem to approximately account for the […]

Posted in Quantum Oscillators, Quantum Physics, Quantum Science Philippines | 25 Comments »

Properties of Quantum Oscillators 1

Friday, April 3rd, 2009

by SIMON JUDE BURGOS In this post we investigate the properties of a quantum oscillator by using an algebraic tool in quantum mechanics called ‘ladder operators’. Using the ladder operator it becomes easy to find the following properties for a quantum oscillator in a given energy level:  the average position and momentum and the square […]

Posted in Quantum Oscillators, Quantum Physics, Quantum Science Philippines | 7 Comments »

Sticky: Basics of Linear Vector Spaces

Sunday, January 18th, 2009

by CARIEL O. MONTALBAN In quantum mechanics, I have learned that the wavefunctions, , reside in Hilbert’s space.  What is Hilbert’s space? I guess to answer this question requires exploring the basic  properties of Hilbert’s space. Hilbert’s space is a linear vector space whose elements, entities or components obey certain rules or axioms.  This means […]

Posted in Linear Vector Space, Quantum Physics, Quantum Science Philippines | 24 Comments »