Overview of the Physics Updates
Description
As part of its commitment to providing the best possible environment for algebraic computations in Physics, Maplesoft launched, during 2014, a Maple Physics: Research and Development website. That enabled users to ask questions, provide feedback and download updated versions of the Physics package, around the clock.
The "Physics Updates" include improvements, fixes, and the latest new developments, in the areas of Physics, Differential Equations and Mathematical Functions. Since Maple 2018, you can install/uninstall the "Physics Updates" directly from the MapleCloud.
Maplesoft incorporated the results of this accelerated exchange with people around the world into the successive versions of Maple. Below there are two sections
The Updates of Physics, as an organized collection of links per Maple release, where you can find a description with examples of different subjects developed in the Physics package, from 2012 till 2019.
The MaplePrimes Physics posts, containing the most important posts describing the Physics project and showing the use of the package to tackle problems in General Relativity and Quantum Mechanics.
The update of Physics in Maple 2020 and back to Maple 16 (2012)
Physics Maple 2020 updates
Feynman Diagrams - the scattering matrix in coordinates and momentum representation
The slicing and spatial gauge conditions of the 3+1 decomposition of spacetime
The new explore option of TensorArray
Differentiating the spacetime metric, the tetrad, and their determinants, with respect to each other
Simplifying spinor, su2, su3 and gauge indices
Psigma definition and algebra and KroneckerDelta as a metric for spinor, su2 and su3 indices
Miscellaneous
Physics Maple 2019 updates
Tensor product of Quantum States using Dirac's Bra-Ket Notation
Coherent States in Quantum Mechanics
The Zassenhaus formula and the algebra of the Pauli matrices
Multivariable Taylor series of expressions involving anticommutative (Grassmannian) variables
New SortProducts command
Documentation: "Physics Updates" and "A Complete Guide for tensor computations using Physics"
Physics Maple 2018 updates
Automatic handling of collision of tensor indices in products
User defined algebraic differential operators
The Physics:-Cactus package for Numerical Relativity
Automatic setting of the EnergyMomentumTensor for metrics of the database of solutions to Einstein's equations
Minimize the number of tensor components according to its symmetries, relabel, redefine or count the number of independent tensor components
New functionality and display for inert names and inert tensors
Automatic setting of Dirac, Paul and Gell-Mann algebras
Simplification of products of Dirac matrices
New Physics:-Library commands to perform matrix operations in expressions involving spinors with omitted indices
Miscellaneous improvements
Physics Maple 2017 updates
General Relativity: classification of solutions to Einstein's equations and the Tetrads package
The 3D metric and the ThreePlusOne (3 + 1) new Physics subpackage
Tensors in Special and General Relativity
The StandardModel new Physics subpackage
Physics Maple 2016 updates
Completion of the Database of Solutions to Einstein's Equations
Operatorial Algebraic Expressions Involving the Differential Operators d_[mu], D_[mu] and Nabla
Factorization of Expressions Involving Noncommutative Operators
Vectors Package
New Physics:-Library commands
Redesigned Functionality and Miscellaneous
Physics Maple 2015 updates
Simplification
Tensors
Tetrads in General Relativity
More Metrics in the Database of Solutions to Einstein's Equations
Commutators, AntiCommutators, and Dirac notation in quantum mechanics
New Assume command and new enhanced Mode: automaticsimplification
Physics Maple 18 updates
4-Vectors, Substituting Tensors
Functional Differentiation
Commutators, AntiCommutators
Expand and Combine
New Enhanced Modes in Physics Setup
Dagger
Physics Maple 17 updates
Tensors and Relativity: ExteriorDerivative, Geodesics, KillingVectors, LieDerivative, LieBracket, Antisymmetrize and Symmetrize
Dirac matrices, commutators, anticommutators, and algebras
Vector Analysis
A new Library of programming commands for Physics
Physics Maple 16 updates
Tensors in Special and General Relativity: contravariant indices and new commands for all the General Relativity tensors
New commands for working with expressions involving anticommutative variables and functions: Gtaylor, ToFieldComponents, ToSuperfields
Vector Analysis: geometrical coordinates with functional dependency
MaplePrimes Physics posts
The Physics project at Maplesoft
Mini-Course: Computer Algebra for Physicists
Perimeter Institute for Theoretical Physics -2015, Computer Algebra in Theoretical Physics (I)
IOP-2016, Computer Algebra in Theoretical Physics (II)
ACA-2017, Computer Algebra in Theoretical Physics (III)
Particle Physics
General Relativity
General Relativity using Computer Algebra
Exact solutions to Einstein's equations
Classification of solutions to Einstein's equations and the ThreePlusOne (3 + 1) package
Tetrads and Weyl scalars in canonical form
Equivalence problem in General Relativity
Minimize the number of tensor components according to its symmetries
Quantum Mechanics
Quantum Commutation Rules Basics
Quantum Mechanics: Schrödinger vs Heisenberg picture
Quantization of the Lorentz Force
Magnetic traps in cold-atom physics
The hidden SO(4) symmetry of the hydrogen atom
(I) Ground state of a quantum system of identical boson particles
(II) The Gross-Pitaevskii equation and Bogoliubov spectrum
(III) The Landau criterion for Superfluidity
Algebra of Dirac matrices with an identity matrix on the right-hand side
Factorization with non-commutative variables
Tensor Products of Quantum State Spaces
The Zassenhaus formula and the Pauli matrices
Physics package generic functionality
Automatic simplification and a new Assume (as in "extended assuming")
Wirtinger derivatives and multi-index summation
See Also
Conventions used in the Physics package, Physics , Tensors - a complete guide, Physics examples, Mini-Course: Computer Algebra for Physicists, Physics: one-line description for each command.
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