LadderOperatorSumExpr<'algebra> (Encodings)

LadderOperatorSumExpr<'algebra> Type

Namespace: Encodings
Assembly: Encodings.dll
Parent Module: LadderOperatorSequence
Base Type: obj

A sum expression of ladder operators parameterized by a combining algebra (e.g., fermionic anti-commutation relations).

This type represents a sum of product terms of indexed ladder operators. The algebra parameter determines how operators combine when reordering (e.g., fermionic operators anti-commute, generating sign changes).

Instance members

Instance member	Description
`this.AllTermsIndexOrdered` Full Usage: `this.AllTermsIndexOrdered` Returns: `bool`	Returns: `bool`
`this.AllTermsNormalOrdered` Full Usage: `this.AllTermsNormalOrdered` Returns: `bool`	Returns: `bool`
`this.Coeff` Full Usage: `this.Coeff` Returns: `Complex`	Returns: `Complex`
`this.ProductTerms` Full Usage: `this.ProductTerms` Returns: `Lazy<P<IxOp<uint32, LadderOperatorUnit>> array>`	Returns: `Lazy<P<IxOp<uint32, LadderOperatorUnit>> array>`

Static members

Static member	Description
`l * r` Full Usage: `l * r` Parameters: l : `LadderOperatorSumExpr<'algebra>` r : `LadderOperatorSumExpr<'algebra>` Returns: `LadderOperatorSumExpression`	l : `LadderOperatorSumExpr<'algebra>` r : `LadderOperatorSumExpr<'algebra>` Returns: `LadderOperatorSumExpression`
`l + r` Full Usage: `l + r` Parameters: l : `LadderOperatorSumExpr<'algebra>` r : `LadderOperatorSumExpr<'algebra>` Returns: `LadderOperatorSumExpression`	l : `LadderOperatorSumExpr<'algebra>` r : `LadderOperatorSumExpr<'algebra>` Returns: `LadderOperatorSumExpression`
`LadderOperatorSumExpr.ConstructIndexOrdered(candidate)` Full Usage: `LadderOperatorSumExpr.ConstructIndexOrdered(candidate)` Parameters: candidate : `S<IxOp<uint32, LadderOperatorUnit>>` - The sum expression to index-order. Returns: `LadderOperatorSumExpr<'algebra> option` The index-ordered sum expression, or None if construction fails.	Constructs an index-ordered version of the given sum expression. First normal-orders the expression, then sorts raise operators in ascending order by index and lower operators in descending order by index. This canonical form is useful for comparing operator expressions. candidate : `S<IxOp<uint32, LadderOperatorUnit>>` The sum expression to index-order. Returns: `LadderOperatorSumExpr<'algebra> option` The index-ordered sum expression, or None if construction fails.
`LadderOperatorSumExpr.ConstructNormalOrdered(candidate)` Full Usage: `LadderOperatorSumExpr.ConstructNormalOrdered(candidate)` Parameters: candidate : `S<IxOp<uint32, LadderOperatorUnit>>` - The sum expression to normal-order. Returns: `LadderOperatorSumExpr<'algebra> option` The normal-ordered sum expression, or None if construction fails.	Constructs a normal-ordered version of the given sum expression. Uses the combining algebra to apply commutation/anti-commutation relations. For fermionic operators, each swap of adjacent operators introduces a factor of −1, and swapping a†ᵢ past aᵢ generates delta terms. The result has all creation operators (a†) to the left of all annihilation operators (a). candidate : `S<IxOp<uint32, LadderOperatorUnit>>` The sum expression to normal-order. Returns: `LadderOperatorSumExpr<'algebra> option` The normal-ordered sum expression, or None if construction fails.
`LadderOperatorSumExpr.TryCreateFromString` Full Usage: `LadderOperatorSumExpr.TryCreateFromString` Returns: `String -> LadderOperatorSumExpr<'algebra> option`	Returns: `String -> LadderOperatorSumExpr<'algebra> option`