Category Documents
Physics/Setup
set and query the computational environment for the Physics package commands
type/commutative
The types ac_var, nc_var, commutative, anticommutative, and noncommutative
Physics/*
generalized product that operates like a commutative, anticommutative, or noncommutative product depending on the parity of its operands
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/Coefficients
extract all coefficients of a multivariate polynomial involving commutative and anticommutative variables
Physics/d_
indexed differential operator with respect to the spacetime variables
Physics/D_
indexed covariant/contravariant differential operator with respect to curvilinear spacetime coordinates
Physics/Dagger
compute the Hermitian conjugate or Adjoint of a given mathematical object
Physics/Define
define a Physics tensor object, its structure, and the (anti)symmetry of its indices under permutation
Physics/diff
evaluate total and partial derivatives, with respect to commutative and non-commutative variables, functions, tensors, or tensor functions, using the sum rule for repeated indices
Physics/.
scalar product between Bras, Kets, and quantum operators, and simplification of contracted indices in spacetime tensors
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