MethodTheorPhyPart4

UNIVERSIDAD DE PUERTO RICO EN HUMACAO
www.uprh.edu

DEPARTAMENTO DE FÍSICA Y ELECTRÓNICA

Methods of Theoretical Physics/Applied Mathematics / Mathematical Methods in Science and Engineering/Mathematical Techniques for Biology and Medicine - Part 4

with FORTRAN , MAXIMA , SAGE AND MATLAB CODES

22 de septiembre de 2011 e-mail: reibaretti2004@yahoo.com

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151. Numerical Integration of Green's function for the vibrating string

152. Klein - Gordon particles in a box - Part 1

153. Klein - Gordon particles in a box - Part 2

154. Klein - Gordon hydrogenic energies

155. The Breit-Pauli Equation

156. The Numerov Algorithm

157. Schaum's Outlines QUANTUM MECHANICS - problem 11.15

158. The deuteron binding energy - Schaum's Outlines QUANTUM MECHANICS - problem 11.17

159. Matrix dominant eigenvalue by the power method

160. The WKB approximation

161. Alpha Particle Emission

162. Variational method applied to the harmonic oscillator- Schaum's Outline of Quantum Mechanics (2 nd edition) Problem 11.2

163. Variation method applied to the harmonic oscillator -Part 2 - Schaum's Outline -Quantum Mechanics 2nd ed. , problem 11.2

164. Use of Variation Method and Orthogonality in the Hydrogen Atom

165. Energy corrections due to the nucleus finite size

166. Linear Variation Method Applied to the Hydrogen Atom

167. Polarization of hydrogen atom

168. Polarization of hydrogen atom by linear variation

169. Complex Variables -Definite Integral by Numerical Contour Integration , Schaum's Advanced Mathematics , prob 13.88

170. Schaum's Outline -Advanced Mathematics 1 ed. ,M. R. Spiegel ,- problem 13.89 Definite Integral by Numerical Contour Integration

171. Diagonalization Algorithm for the Determinant

172. Schaum’s Outline of Quantum Mechanics - Problem 10.5

173. Schaum's Outline of Quantum Mechanics - Problem 10.4 Infinite well with delta function perturbation

174. Schaum's Outline of Quantum Mechanics - Problem 4.30 -verify the uncertainty relation

175. Reflection and transmission by a square potential barrier - Schaum's Outline of Quantum Mechanics problem 3.16

176. Resonance Scattering

177. Maxima Primer (under construction)

178 . Schaum’s Outline of Quantum Mechanics- Problem 4.36

179. Two dimensional hydrogen atom

180. Schaum's Outlines of QUANTUM MECHANICS - problem 12.1

181. Quantum semi harmonic potential

182. Schaum's Outlines of Quantum Mechanics - problem 10.6

183. Schaum’s Outline of Quantum Mechanics -problem 11.20 - Transmission coefficient of a

parabolic potential barrier

184. Roothan equations

185. Energy levels in a system of two adjacent potential wells

186. Properties of the delta function

187. Bound states for a finite square potential well - Schaum's Outline of Quantum Mechanics - problem 3.18

188. Creation and annihilation operators

189. The Square Root of a Matrix S

190. One electron potential using Poisson's equation

191. Simple approximation to the electron repulsion Jij

192. Exchange energy K(1s,2s) using Poisson's equation

193. Simple approximation to the electron exchange Kij

194. Energy levels in the field V=V0 cot^2 ( π x/a)

195. Analytical expression for K(1s,2s)

196. Atomic Spherical Coulomb Potentials Φ1 (r) and Φ2 (r)

197. Exchange Spherical Potentials Φ1 (r) and Φ2 (r)

198. Problems in Quantum Mechanics (problem 3 , page 1)

199. Problems in Quantum Mechanics (problem 2 , page 1)

200. Problems in Quantum Mechanics -non symmetric potential well

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