MATHEMATICAL PHYSICS

BASIC ELECTRICAL ENGINEERING

FORTRAN-Use of complex numbers in Impedance and Admittance

The Catenary

Schaum's BEE prob 6.13

Schaum's Basic Electrical Engineering, prob 5.11 - Mutual Inductance

Schaum's BEE prob 15.7 -Automobile suspension

Coupled circuits oct. 17 2006

Surge analysis (oct 15 2006)

EXAMPLE OF FINITE ELEMENT METHOD

Solution of Laplace Equation by Iterations (semi circle problem)

Potential in a semi circle (sept 22 , 2006)

Plot of equipotentials in a semi circle

Control Criteria - Schaum's BEE problem 17.8

A square pulse applied to an RC circuit

Schaum's Outline BEE problem 3.7

Schaum's Outline BEE problem 4.19

Percent overshoot of a capacitor-Schaum's BEE problem 4.10

delx(del(phi))=0 , del*(delxA)=0

Schaum's Outline BEE problem 4.3

Schaum's Outline BEE problem 5.4

Schaum's Outline of Basic Electrical Engineering-problem 5.13

FORCED RCL circuit

Driven RLC Circuit

Fourier coefficients

RCL CIRCUIT

RCL circuit with a delta function voltage imput

RC Circuit-part2

RC CIRCUIT - part 1

Circuit Analysis-Schaum's BEE prob 6.10

Schaum's Outline-Basic Electrical Engineering prob 6.10

Schaum's Outline-Basic Electrical Engineering prob 6.11

QUANTUM PHYSICS

LECTURES ON QUANTUM MECHANICS

Chapter 1 - Some experimental facts

Chapter 1. -part b

THE WKB APPROXIMATION

THE BREIT PAULI EQUATION

Momentum space wave functions (no.1)

Morse Potential- H2 vibrational energy levels

The Stark effect in one dimensional hydrogen

Vibrational energy levels for the hydrogen molecule

The H2+ molecule ion

The X-alpha method -helium atom

Total energies for the 1s2s - 1S state of heliumlike ions

Eigenvalues via Asymptotic Solutions

Nonorthogonal Hartree - Fock

THE ROOTHAAN EQUATIONS

The Linear Variational Method - two STO basis set

The Three Body Problem - 29 junio

The lengthening pendulum

Lithium atom ,a semi Hartree-Fock calculation

Beryllium - a density functional calculation

Effective potential for lithium

Schrodinger's equation-harmonic oscillator

DIRAC EQUATION-NUMERICAL SOLUTION

Klein Gordon equation

THE HYDROGEN MOLECULE

Effective repulsive potential in Helium

HYDROGENIC ATOMS

QUANTUM OSCILLATOR

THE EXCHANGE INTEGRAL K(1s,2s)

Carbon atom - a density functional calculation

INFINITE AND SEMI INFINITE WELL POTENTIAL

Variational calculation in momentum space

DEUTERON

Double square well potential

SQUARE WELL POTENTIALS

One Dimensional Lithium

One Dimensional Hydrogenic Atom ( Variational treatment)

Neutron energy eigenvalues s and p states

One dimensional helium - part 3

Chemical Kinetics example 1

GROUND STATE ENERGY OF LITHIUM

CLASSICAL MECHANICS

The error function

BOLTZMANN DISTRIBUTION

The simple pendulum

Gravitational orbits (oct 2006)

Solution of equation d^2x/dt^2= -GM/x**2

Forced oscillator example of sep. 14 ,2006

Damped oscillations (sept 27)

friction force= -kv3

Laplace's equation

Solution of d^2x/dt^2= -9.8 -0.1v

The brachistocrone

Gravitational orbits

Gravitational potential

d^2x/dt^2=-g+(k/m)v^2 - version(2)

Forced Vibrating String

Vibrating string with friction

Vibration of a Circular Membrane

RELATIVITY

The Perihelic Shift of Mercury

Lorentz Force- relativistic case

Circuit Analysis-Schaums BEE prob 6.11

GROUND STATE ENERGY OF LITHIUM

The Lorentz Force

Van der Pol Equation

Anharmonic Potential In Quantum Mechanics

MAGNETIC FIELD LINES

The Sine Gordon Equation

GROUND STATE ENERGY OF BERYLLIUM

LINEAR VARIATONAL METHOD

Density Functional Theory

TWO INTERACTING ECOLOGICAL SPECIES

Equipotentials of an electric dipole

Electric field lines of a dipole

Electric Potential and Field of a Point Charge Distribution

NEUTRON DIFFUSION through the lead wall of an atomic reactor

Electric Field of a Point Charge Distribution

COSMOLOGICAL EXPANSION

Third order differential equation

Solution to Circular Reactions

Fresnel's Integrals

TWO GRAVITATIONAL CENTERS

Magneto -gravitational Force

EQUIPOTENTIALS

Hydrogenic one dimensional atom

Effective potential for boron

Effective potential for beryllium

POISSON'S EQUATON IN 3-D (CARTESIAN)

Poisson's equation

THE WAVE EQUATION

MATLAB SECTION

The cable deflection problem

Eigenvalues of fourth order matrix

Eigenvalues and eigenvectors

Laplace equation

The Predator ? Prey Population Equation

The infection equation , dy/dt= k*y(m- y)

Ritz method in one dimension , solution of d^2y/dx^2= - x^2

Fourth order DE , d^4y/dx^4= 24

Second order boundary value problem d2 y/dx2 =(1./8.){32.+2x3 -y*(dy/dx ) }

One dimensional boundary value problem, y''= - x**2 version 3 (solution by iteration)

One dimensional boundary value problem, y''= - x**2

Chemical kinetics (nov 21)

Boltzmann distribution -part 1

THE FOUCALT PENDULUM

Van der Pol equation (nov 18 2006)

RCL with a sinusoidal source

RCL circuit nov14

Stiff Differential equation ,y'=-100y +99 exp(-x)

Stiff differential equation dy/dt= ay**2-by**3

RC circuit example 1

Simple pendulum

Periodic force

Coupled Oscillators

The hydrogen molecule-ion

Gravitational potential

Coupled Oscillators

The Hydrogen Atom-asymptotic method

Schroginger's equation -infinite well

Power method

The heat equation (diffusion equation)

Classic oscillator

Equation of motion , mdv/dt= -mg +kv**2

Damped Oscillator

Gravitational orbits

FORTRAN NUMERICAL METHODS

Complex Integration of dz(5z-2)/(z(z-1))

Poisson equation del **2 (U) =4

Rayleigh Ritz and finite element method Exact solution of heat conduction problem using two linear interpolation polynomials

Eigenvalues and eigenvectors

Ritz method using a basis set

Ritz method in one dimension , d^2y/dx^2= - x^2

Fourth order DE , d^4y/dx^4= 24

Second order non linear boundary value problem -shooting method -d2y/dx2 = ( 1/8) (32 +2x3 ? y (dy/dx )

One dimensional boundary value problem

Stiff Differential equation -example 2

Stiff differential equation,example 1

The trigonometric table

Airy Function

Vectors

Frobenius method

THE FINITE DIFFERENCE METHOD

Natural and Common Logartithm

Log base 10 -the mantissa

The Confluent Hypergeometric Function

ROOTS OF BESSEL FUNCTIONS

The Mathieu differential equation

PI-THE PRIME NUMBER COUNTER FUNCTION

PRIME NUMBER GENERATOR

The n-th root of a number

Duffing differential equation-part2

Duffing Differential Equation-part 1

Non Linear Volterra Integral Equation

Discrete Fourier Transform -version no.2

DISCRETE FOURIER TRANSFORM -version no.1

Integral equation of the Hammerstein type

Polynomial with complex roots

MATRIX INVERSION by Cayley Hamilton method

Pi Calculation by Monte Carlo Method

Gauss-Seidel Iterative algorithm

Eigenvalues of an integral equation with triangular Kernel

Eigenvalues of an integral equation with triangular Kernel

Finding roots using a second order Lagrange interpolating polynomial

Solution of Fredholm Integral Equation of the Second Kind -example 1

Numerical Solution of Volterra Integral Equation of the Second Kind -example 1

Integration by Monte Carlo method -1

EIGENVALUES OF AN INTEGRAL EQUATION

LAGRANGE INTERPOLATION

Singular Integrals

Definite Integrals by Taylor series

PICARD'S METHOD

INTEGRAL EQUATIONS

Bessel functions J0,J1 and J2

Bessel functions of the second kind

Bessel Functions

GAMMA - EULER'S CONSTANT

CHAOS IN A PENDULUM

GAUSS-LEGENDRE INTEGRATION

Gaussian quadrature

Eigenvalues & Eigenvectors by Newton Raphson method

Eigen values by Newton-Raphson method

Single Taylor series

NEWTON-RAPHSON non linear systems

The Runge-Kutta method

Matrix Inversion Using Cayley-Hamilton theorem