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# Physics Package

## Category Documents

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Physics/Assume

places assumptions without redefining the variables receiving assumptions - suitable for working with the Physics, VectorCalculus and MathematicalFunctions packages

places assumptions without redefining the variables receiving assumptions - suitable for working with the Physics, VectorCalculus and MathematicalFunctions packages

Physics/Bra

create a Bra state vector of a discrete or continuous space of quantum states in Dirac's notation

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

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

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

extract all coefficients of a multivariate polynomial involving commutative and anticommutative variables

Physics/D_

indexed covariant/contravariant differential operator with respect to curvilinear spacetime coordinates

indexed covariant/contravariant differential operator with respect to curvilinear spacetime coordinates

Physics/Define

define a Physics tensor, its structure, and the (anti)symmetry of its indices under permutation

define a Physics tensor, its structure, and the (anti)symmetry of its indices under permutation

Physics/.

scalar product between Bras, Kets, and quantum operators, and simplification of contracted indices in spacetime tensors

scalar product between Bras, Kets, and quantum operators, and simplification of contracted indices in spacetime tensors

Physics/ExteriorDerivative

compute the exterior derivative of a totally antisymmetric covariant tensorial expression

compute the exterior derivative of a totally antisymmetric covariant tensorial expression

Physics/GrassmannParity

compute the Grassmannian parity, as 0, 1 or undefined, according to whether an expression is commutative, anticommutative or noncommutative

compute the Grassmannian parity, as 0, 1 or undefined, according to whether an expression is commutative, anticommutative or noncommutative

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