Class KronigPenney

java.lang.Object
  |
  +--KronigPenney

Direct Known Subclasses:

FreeElectron

class KronigPenney

extends java.lang.Object

implements Solvable

Implementation of the Kronig-Penney model.

Field Summary

protected double

p The potential strength

Constructor Summary

KronigPenney(double p)
Creates a new model with the specified potential strength.

Method Summary

protected double	deriv(double x, double cos_ka) Evaluates the derivative of the difference between the two sides of the KP equation.
protected double	eval(double x, double cos_ka) Evaluates the difference between the two sides of the KP equation.
protected double	solve(double ka) Uses the Newton-Raphson method to solve the KP equation, with the specified wavenumber.
void	solve(double x0, double step, double[] vals) Requests that the supplied array be filled with solution data.

Methods inherited from class java.lang.Object

, clone, equals, finalize, getClass, hashCode, notify, notifyAll, registerNatives, toString, wait, wait, wait

Field Detail

p

protected double p

The potential strength

Constructor Detail

KronigPenney

public KronigPenney(double p)

Creates a new model with the specified potential strength.

Method Detail

solve

public void solve(double x0,
                  double step,
                  double[] vals)

Description copied from interface: Solvable

Requests that the supplied array be filled with solution data. The nth element of the array should be the solution at x = x0 + step*n.

Specified by:

solve in interface Solvable

Tags copied from interface: Solvable

Parameters:

x0 - The initial x-value

step - The increment to be applied to x0

vals - The array which will hold the solution data

solve

protected double solve(double ka)

Uses the Newton-Raphson method to solve the KP equation, with the specified wavenumber.

eval

protected double eval(double x,
                      double cos_ka)

Evaluates the difference between the two sides of the KP equation. The energy which fits the KP equation is the energy for which this equation is zero.

Parameters:

x - The energy at which to evaluate

cos_ka - The cosine of the wavenumber

deriv

protected double deriv(double x,
                       double cos_ka)

Evaluates the derivative of the difference between the two sides of the KP equation.

Parameters:

x - The energy at which to evaluate

cos_ka - The cosine of the wavenumber