LadderOperatorUnit (Encodings) | Encodings

LadderOperatorUnit Type

Namespace: Encodings
Assembly: Encodings.dll
Parent Module: IndexedLadderOperator
Base Type: obj
All Interfaces: IEquatable<LadderOperatorUnit> , IStructuralEquatable , IComparable<LadderOperatorUnit> , IComparable , IStructuralComparable

Represents the type of a fermionic ladder operator.

Ladder operators are fundamental building blocks in second quantization:

Identity - The identity operator (no operation)
Raise - Creation operator a†, creates a fermion in an orbital
Lower - Annihilation operator a, removes a fermion from an orbital

String representation: "I" for Identity, "u" for Raise (up), "d" for Lower (down).

Union cases

Union case	Description
`Identity` Full Usage: `Identity`
`Lower` Full Usage: `Lower`
`Raise` Full Usage: `Raise`

Instance members

Instance member	Description
`this.AsString` Full Usage: `this.AsString` Returns: `Lazy<string>`	Returns: `Lazy<string>`
`this.IsIdentity` Full Usage: `this.IsIdentity` Returns: `bool`	Returns: `bool`
`this.IsLower` Full Usage: `this.IsLower` Returns: `bool`	Returns: `bool`
`this.IsRaise` Full Usage: `this.IsRaise` Returns: `bool`	Returns: `bool`

Static members

Static member	Description
`LadderOperatorUnit.Apply` Full Usage: `LadderOperatorUnit.Apply` Returns: `string -> LadderOperatorUnit option`	Returns: `string -> LadderOperatorUnit option`
`LadderOperatorUnit.FromTuple(ladderOperatorUnit, index)` Full Usage: `LadderOperatorUnit.FromTuple(ladderOperatorUnit, index)` Parameters: ladderOperatorUnit : `'a` - The type of ladder operator (Raise or Lower). index : `'b` - The spin-orbital index for the operator. Returns: `IxOp<'b, 'a>` An indexed operator combining the operator type and orbital index.	Creates an indexed ladder operator from a tuple of (operator, index). ladderOperatorUnit : `'a` The type of ladder operator (Raise or Lower). index : `'b` The spin-orbital index for the operator. Returns: `IxOp<'b, 'a>` An indexed operator combining the operator type and orbital index.
`LadderOperatorUnit.FromUnit` Full Usage: `LadderOperatorUnit.FromUnit` Returns: `bool * uint32 -> IxOp<uint32, LadderOperatorUnit>`	Returns: `bool * uint32 -> IxOp<uint32, LadderOperatorUnit>`
`LadderOperatorUnit.TryCreateFromString` Full Usage: `LadderOperatorUnit.TryCreateFromString` Returns: `string -> IxOp<uint32, LadderOperatorUnit> option`	Returns: `string -> IxOp<uint32, LadderOperatorUnit> option`