Methods of Theoretical Physics/Applied Mathematics / Mathematical Methods in Science and Engineering/Mathematical Techniques for Biology and Medicine -  Part 10

with FORTRAN , MAXIMA , SAGE AND  MATLAB CODES

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  3 de diciembre de 2012        e-mail: reibaretti2004@yahoo.com

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"...dijo que para terminar el poema le era indispensable la casa,
pues en un ángulo del sótano había un Aleph. Aclaró que un Aleph es uno
de los puntos del espacio que contienen todos los puntos."
El Aleph - Jorge Luis Borges

Lectures on Quantum Mechanics

16 chapters

450.  Numerical Solution of Integro-Differential Equations

451.   Numerical Solution of Fredholm Integral Equation by Iterations  

452 . Numerical Solution of Coupled Integro-Differential Equations    

453.   Critical frequency of a vibrating membrane -Part 1

454. Critical frequency of a rectangular vibrating membrane - Part 2

455.  Fundamental frequency of a triangular vibrating membrane 

456.  Excited frequencies of a rectangular vibrating membrane  

457. Total perturbation of quantum harmonic oscillator energies  

458.  Improper integrals using complex FORTRAN

459. Scattering in a field U=A/r^2    Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics) by L. D. Landau and E.M. Lifshitz , problem 19.1

460.   Electric Field Lines of a Dipole

461. Scattering from a rigid sphere  Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics) by L. D. Landau and E.M. Lifshitz , problem 18.1

462. Scattering by a spherical potential well - Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics) by L. D. Landau and E.M. Lifshitz , problem 19.2  

463. Numerical Evaluation of Fourier Transforms - part 2

464. Ordinary differential equations in electrical circuits   , Mathematical Methods in Physics and Engineering , J. W. Dettman, pages 380-81 

465. Numerical solution of third order inhomogeneous differential equations  

466. The logistic differential equation  

467. Numerical solution of Poisson equation in two Cartesian dimensions    

468.   Numerical solution of Δ2 φ = - 4π q δ ( r )        

469. FORTRAN Code for the rectangular box potential , adapted from J. D. Jackson , Classical Electrodynamics      1rst  ed. , pages 49-50  

470 . FORTRAN code for the numerical solution of the rectangular box potential   -(J. D. Jackson , Classical Electrodynamics      1rst  ed. , pages 49-50   )

471. POINT CHARGE IN FRONT OF AN INFINITE GROUNDED PLANE  - (J. D. Jackson , Classical Electrodynamics      1rst  ed. , page 27   )

472. POTENTIAL OF A POINT CHARGE AND A GROUNDED SPHERE  - J. D. Jackson , Classical Electrodynamics      1rst  ed. , section 2.2

473. Potential inside a cylinder    - J. D. Jackson , Classical Electrodynamics      1rst  ed. , section 3.7

474. Potential in the half space z > 0 -Problem 2.4 from J. D. Jackson , Classical Electrodynamics 1rst. ed

475. Conducting Sphere with Hemispheres at Different Potentials  J. D. Jackson , Classical Electrodynamics 1rst ed., section 2.8

476. The Schwarzschild metric as an initial value problem  

477.  Non Lorentzian solutions of the space time metric tensor    

478. Poisson equation for a square plate with a constant source  

479.  Forced oscillations, Prob 1 Sec. 22 Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics) by L. D. Landau and E.M. Lifshitz 

480.   Integrating Schrodinger's time dependent equation    

481. Transitions of a harmonic oscillator with a  time dependent perturbation  -Part 2

482. Time dependent perturbation theory applied to the quantum oscillator   - Part 1

483. Tank Draining Exercise  

484. TWO STATE QUANTUM SYSTEM 

485.  The ammonia molecule     

486.  THE AMMONIA MASER EQUATIONS  

487. COMPLEX FORTRAN INTEGRATION OF z^(-1/2) /(1 + z)  

488. REAL FORTRAN INTEGRATION OF  x^( -1/2)  /(1 + x) , 0 ≤ x ≤ ∞  

489. RCL CIRCUIT USING FINITE DIFFERENCES

490. Fredholm equation with separable kernel  

491.  Spin 1/2 Particles in a Magnetic Field  

492. Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics) by L. D. Landau and E.M. Lifshitz   Problem 2 , section 22  

493. Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics) by L. D. Landau and E.M. Lifshitz   Problem 3 , section 22  

494. Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics) by L. D. Landau and E.M. Lifshitz   Problem 4 , section 22

495. Mechanics, Third Edition: Volume 1 (Course of Theoretical Physics) by L. D. Landau and E.M. Lifshitz   Problem 5 , section 22

496. Problems in Quantum Mechanics (Dover Books on Physics) by I. I. Gol'dman, V. D. Krivchenkov and Physics , Prob 3.13

497. Problems in Quantum Mechanics (Dover Books on Physics) by I. I. Gol'dman, V. D. Krivchenkov and Physics , Prob 3.15

498. Nordstrom type metric in general relativity  

499.  Problems in Quantum Mechanics (Dover Books on Physics) by I. I. Gol'dman, V. D. Krivchenkov and Physics , Prob 5.11

500.   Solving the geodesic equations of a Nordstrom type metric            

See also      

 http://www1.uprh.edu/rbaretti/MethodsofTheoreticalPhysics.htm

 http://www1.uprh.edu/rbaretti/MethodsofTheoreticalPhysicsPart2.htm

http://www1.uprh.edu/rbaretti/MethodsofTheoreticalPhysicsPart3.htm

http://www1.uprh.edu/rbaretti/MethodsofTheoreticalPhysicsPart4.htm

http://www1.uprh.edu/rbaretti/MethodsofTheoreticalPhysicsPart5.htm

 http://www1.uprh.edu/rbaretti/MethodsofTheoreticalPhysicsPart6.htm

 http://www.uprh.edu/rbaretti/MethodsofTheoreticalPhysicsPart7.htm

http://www.uprh.edu/rbaretti/MethodsofTheoreticalPhysicsPart8.htm

http://www.uprh.edu/rbaretti/MethodsofTheoreticalPhysicsPart9.htm

http://www.uprh.edu/rbaretti/MethodsofTheoreticalPhysicsPart10.htm

http://www.uprh.edu/rbaretti/MethodsofTheoreticalPhysicsPart11.htm

http://www.uprh.edu/rbaretti/

http://www1.uprh.edu/rbaretti/LecturesonQM28feb2011.htm - Lectures on Quantum Mechanics

Solved Problems in Calculus http://www1.uprh.edu/rbaretti/SolvedprobCalculusMain25mar2011.htm