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Page 1 of 1
Physics/Mini-Course
Mini-Course: Computer Algebra for Physicists
Physics/Tensors
A Complete Guide for performing Tensors computations using Physics
PDEtools/declare
PDEtools[declare]
Physics/Annihilation
generate "annihilation" operators acting on a given space of quantum states
Physics/Commutator
the commutator A B - B A
Physics/Assume
places assumptions without redefining the variables receiving assumptions - suitable for working with the Physics, VectorCalculus, DifferentialGeometry and MathematicalFunctions packages
Physics/Bra
create a Bra state vector of a discrete or continuous space of quantum states in Dirac's notation
Physics/Bracket
compute the scalar product between Bras, Kets, and quantum operators in Dirac's notation
Physics/Check
check the occurrence of more than one noncommutative or anticommutative object in commutative products and the correctness of the free and repeated spacetime indices in a mathematical expression
Physics/Christoffel
The Christoffel symbols
Physics/Coefficients
extract all coefficients of a multivariate polynomial involving commutative and anticommutative variables
Physics/Conventions
Conventions used in the Physics package
Physics/Coordinates
set up aliases for the spacetime coordinates used by Physics commands
Physics/D_
indexed covariant differential operator with respect to curvilinear spacetime coordinates
Physics/Dagger
compute the Hermitian conjugate or Adjoint of a given mathematical object
Physics/Decompose
decomposes a 4D tensorial expression into 3 + 1, regarding both its free and contracted (repeated) indices
Physics/Define
define a Physics tensor, its structure, and the (anti)symmetry of its indices under permutation
Physics/Dgamma
the Dirac gamma matrices
Physics/.
scalar product between Bras, Kets, and quantum operators, and simplification of contracted indices in spacetime tensors
Physics/Einstein
The Einstein tensor
Physics/EnergyMomentum
The EnergyMomentum tensor
Physics/Expand
expand noncommutative products over sums, Commutators, Brackets, etc.
Physics/ExteriorDerivative
compute the exterior derivative of a totally antisymmetric covariant tensorial expression
Physics/Factor
factor expressions involving noncommutative variables
Physics/FeynmanDiagrams
compute an expansion of the Scattering matrix for a model in coordinates representation, or the Scattering matrix element in momentum representation, and the corresponding Feynman Diagrams
Physics/FeynmanIntegral
represents a Feynman integral appearing in the expansion of the Scattering matrix (in coordinates representation) or in its matrix elements (in momentum representation)
Physics/Geodesics
computes and solves the geodesic equations for the spacetime metric
Physics/GrassmannParity
compute the Grassmannian parity, as 0, 1 or undefined, according to whether an expression is commutative, anticommutative or noncommutative
Physics/Gtaylor
Taylor series expansion of expressions involving anticommutative variables
Physics/Intc
quick input of multiple integrals from -infinity to infinity
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