wolfram mathematica student edition momentum position

An associated graphics package aids the generation of plots and animations for visualization of the physical processes.

Plots angular-momentum probability surfaces: a 3D geometrical representation of atomic polarization.

Automatic generation of level diagrams showing level structure, electromagnetic-field induced coupling, and atomic sublevel populations from the density matrix.

Performs arbitrary rotations of operators and irreducible tensors.

General implementation of irreducible tensor algebra.Performs irreducible tensor decomposition of the density matrix.Finds the effect of atomic polarization on light polarization, using various light polarization parameterization schemes.Supports generation and simultaneous solution of coupled density matrices describing different velocity classes and physical regions in the system.Routines implementing the matrix-continued fraction method for efficient numerical computation of periodic solutions for the case of modulated fields.Formulates and solves density matrix evolution equations, either analytically or numerically, as a function of time or in the steady state.Automatic generation of terms describing relaxation effects, including spontaneous decay.Routines for automatic application of the rotating-wave approximation.Automatic generation of Hamiltonians including the effects of arbitrary static or dynamic electric, magnetic, and optical fields.Also supports calculations for model systems that neglect angular momentum Supports systems with an arbitrary number of states, automatically generating Zeeman and hyperfine substructure.

The package has been updated for compatibility with Mathematica 12. It is intended to be both general and user-friendly, and to be useful to the working physicist as well as to students.ĪtomicDensityMatrix is open source software, licensed under the GPLv3. AtomicDensityMatrix is a package for Mathematica 6 and later that facilitates analytic and numerical density-matrix calculations in atomic and related systems.

Wolfram mathematica student edition momentum position