JSci.physics.quantum.SpinOperator Maven / Gradle / Ivy

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JSci is a set of open source Java packages. The aim is to encapsulate scientific methods/principles in the most natural way possible. As such they should greatly aid the development of scientific based software. It offers: abstract math interfaces, linear algebra (support for various matrix and vector types), statistics (including probability distributions), wavelets, newtonian mechanics, chart/graph components (AWT and Swing), MathML DOM implementation, ... Note: some packages, like javax.comm, for the astro and instruments package aren't listed as dependencies (not available).

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package JSci.physics.quantum;

import JSci.maths.*;
import JSci.maths.matrices.AbstractComplexSquareMatrix;
import JSci.maths.algebras.*;

/**
* The SpinOperator class provides an object for encapsulating spin operators.
* @version 2.0
* @author Mark Hale
*/
public final class SpinOperator extends Operator {
        private static final LieAlgebra spin1_2=su2Dim2.getInstance();
        private static final LieAlgebra spin1=su2Dim3.getInstance();
        /**
        * Spin 1/2 operator (x).
        */
        public static final SpinOperator X1_2=new SpinOperator(spin1_2.basis()[0]);
        /**
        * Spin 1/2 operator (y).
        */
        public static final SpinOperator Y1_2=new SpinOperator(spin1_2.basis()[1]);
        /**
        * Spin 1/2 operator (z).
        */
        public static final SpinOperator Z1_2=new SpinOperator(spin1_2.basis()[2]);
        /**
        * Spin 1 operator (x).
        */
        public static final SpinOperator X1=new SpinOperator(spin1.basis()[0]);
        /**
        * Spin 1 operator (y).
        */
        public static final SpinOperator Y1=new SpinOperator(spin1.basis()[1]);
        /**
        * Spin 1 operator (z).
        */
        public static final SpinOperator Z1=new SpinOperator(spin1.basis()[2]);
        /**
        * Constructs a spin operator.
        */
        private SpinOperator(AbstractComplexSquareMatrix spinMatrix) {
                super(spinMatrix);
        }
        /**
        * Returns true if this operator is self-adjoint.
        */
        public boolean isSelfAdjoint() {
                return true;
        }
        /**
        * Returns true if this operator is unitary.
        */
        public boolean isUnitary() {
                return true;
        }
        /**
        * Returns the trace.
        */
        public Complex trace() {
                return Complex.ZERO;
        }
}