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Perturbation of a 3-dimensional infinite cubical well

Friday, March 19th, 2010

Karl Patrick S. Casas Consider a three-dimensional infinite cubical well [eq]V(x,y,z)=\left\{ \begin{array} {cccccc} 0, & if &0<x<a,& 0<y<a,& and& 0<z<a \\ \infty, &otherwise& & & & \\ \end{array}[/eq] The stationary states are [eq]\psi^{0}_{n_x,n_y,n_z}(x,y,z)=\left(2/a\right)^{3/2}\sin\left(\frac{n_x \pi}{a}x\right)\sin\left(\frac{n_y \pi}{a}y\right)\sin\left(\frac{n_z \pi}{a}z\right)[/eq] and the allowed ground state energy is given by [eq]E^0_0=3\frac{\pi^2\hbar^2}{2ma^2}[/eq] . The first excited state is triply degenerate, [eq]E^0_1=3\frac{\pi^2\hbar^2}{ma^2}[/eq] […]

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Brief history of the development of quantum mechanics

Saturday, February 27th, 2010

Karl Patrick S. Casas Any object of higher temperature than its surroundings radiates and loses heat. More radiation is produced if you raise the temperature even higher. Even objects at room temperature glow, but in the form of infrared radiation, which is not detectable by the eye. A black body absorbs all frequencies and emits […]

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