Notations - Page 3

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Notations

The Quantum Algebra extension uses a number of notations to improve the readability of expressions. They supplement the notations that already exist in the basic package. This also takes into account the need for documentation.

Notations of the basic package:

Operator Notation
Superdagger
Centerdot

Additional Notations

Integral
Total Notation
Partial Derivative
Small Circle

Overview

Name	Sample Notation	FullForm - Simplified or Complete Expression
Operator	${\hat{d}}_{p_{1}, p_{2}, p_{3}}^{r, †}$	Operator[d, "H", List[QASimplescript[p, 1, False], QASimplescript[p, 2, False], QASimplescript[p, 3, False]], List[r]]
SuperDagger	${\hat{d}}_{p_{1}, p_{2}, p_{3}}^{r, †}$	Hermitian[Operator[d, List[QASimplescript[p, 1, False], QASimplescript[p, 2, False], QASimplescript[p, 3, False]], List[r]]
CenterDot	${\hat{d}}_{p_{1}, p_{2}, p_{3}}^{1, †} \cdot {\hat{d}}_{p_{1}, p_{2}, p_{3}}^{1}$	NonCommutativeMultiply[Operator[d,"H",List[QASimplescript[p, 1, False], QASimplescript[p, 2, False], QASimplescript[p, 3, False]], List[1]], Operator[d, List[QASimplescript[p, 1, False], QASimplescript[p, 2, False], QASimplescript[p, 3, False]], List[1]]]
QAIntegrate	$P_{i_} := \int_{V} P_{i} ⅆ^{3} x$	QAIntegrate[QASimplescript[p, i, False], V, 3, x]
QASum	$\sum_{p} \sum_{r = 1}^{2} (sqrt [m / (V p_{0})] {\hat{d}}_{p_{1}, p_{2}, p_{3}}^{r, †} v_{r} Exp [+ ⅈ \exp])$	QASum[Operator[d, "H", List[QASimplescript[p, 1, False], QASimplescript[p, 2, False], QASimplescript[p, 3, False]], List[r]],p]
QAD	$D_{x_{i}} (Ψ // Evaluate)$	QAD[\[psi] // Evaluate, QASimplescript[x, i, False]]
SmallCircle	$ma1 \circ ma2$	SmallCircle[ma1, ma2]

Details: Category: Quantum Algebra; Published: 30 December 2018; Hits: 13261