Class QuantumWellSimulator

java.lang.Object

org.episteme.natural.physics.quantum.QuantumWellSimulator

public final class QuantumWellSimulator
extends Object

Simulates energy levels in a 1D Finite Quantum Well.

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static final record	QuantumWellSimulator.EnergyLevel

Method Summary

Modifier and Type	Method	Description
static List<QuantumWellSimulator.EnergyLevel>	solveBoundStates(double width, double depth, double effectiveMass)	Solves for bound state energy levels.
static Real	tunnelingProbability(double energy, double barrierHeight, double width)	Calculates tunneling probability through a barrier.

Methods inherited from class Object

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

Method Details

solveBoundStates

public static List<QuantumWellSimulator.EnergyLevel> solveBoundStates(double width,
 double depth,
 double effectiveMass)

Solves for bound state energy levels. Based on transcendental equations for finite well.

Parameters:

width - Width of well in nm

depth - Depth of well (Potential V0) in eV

effectiveMass - Effective mass ratio (e.g., 0.067 for GaAs)

tunnelingProbability

public static Real tunnelingProbability(double energy,
 double barrierHeight,
 double width)

Calculates tunneling probability through a barrier. T = 1 / (1 + (V0^2 * sinh(kL)^2) / (4E(V0-E)))