Class DispersionRelation

java.lang.Object

org.episteme.natural.physics.classical.waves.DispersionRelation

public class DispersionRelation
extends Object

Dispersion relations for various wave types.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
DispersionRelation()

Method Summary

Modifier and Type	Method	Description
static Real	deepWaterGravity(Real k)	Deep water gravity waves: $\omega = \sqrt{g k}$
static Real	groupVelocity(Function<Real,Real> dispersion, Real k)	Group velocity: $v_g = d\omega/dk$ Approximated numerically as $(\omega(k+\delta) - \omega(k-\delta)) / 2\delta$
static Real	lightInVacuum(Real k)	Light in vacuum: $\omega = c k$
static Real	massiveRelativistic(Real k, Real mass)	Massive relativistic particle: $E^2 = (pc)^2 + (mc^2)^2$ gives $\omega = c\sqrt{k^2 + (mc/\hbar)^2}$
static Real	schrodingerFree(Real k, Real mass)	Non-relativistic Schrödinger free particle: $\omega = \hbar k^2 / 2m$
static Real	shallowWater(Real k, Real depth)	Shallow water waves: $\omega = k \sqrt{g h}$

Methods inherited from class Object

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

Constructor Details

DispersionRelation

public DispersionRelation()

Method Details

lightInVacuum

public static Real lightInVacuum(Real k)

Light in vacuum: $\omega = c k$

deepWaterGravity

public static Real deepWaterGravity(Real k)

Deep water gravity waves: $\omega = \sqrt{g k}$

shallowWater

public static Real shallowWater(Real k,
 Real depth)

Shallow water waves: $\omega = k \sqrt{g h}$

massiveRelativistic

public static Real massiveRelativistic(Real k,
 Real mass)

Massive relativistic particle: $E^2 = (pc)^2 + (mc^2)^2$ gives $\omega = c\sqrt{k^2 + (mc/\hbar)^2}$

schrodingerFree

public static Real schrodingerFree(Real k,
 Real mass)

Non-relativistic Schrödinger free particle: $\omega = \hbar k^2 / 2m$

groupVelocity

public static Real groupVelocity(Function<Real,Real> dispersion,
 Real k)

Group velocity: $v_g = d\omega/dk$ Approximated numerically as $(\omega(k+\delta) - \omega(k-\delta)) / 2\delta$