numeric-quest-0.1.1: Math and quantum mechanics Source code Contents Index

QuantumVector

Documentation

class DiracVector a where Source

Methods add :: a -> a -> a Source scale :: Scalar -> a -> a Source reduce :: a -> a Source basis :: a -> [a] Source components :: a -> [Scalar] Source compose :: [Scalar] -> [a] -> a Source dimension :: a -> Int Source norm :: a -> Double Source normalize :: a -> a Source Instances Ord a => DiracVector (Bra a) Ord a => DiracVector (Ket a)

type Scalar = Complex Double Source

data Ket a Source

Constructors KetZero Ket a Scalar :|> (Ket a) (Ket a) :+> (Ket a) Instances (Eq a, Ord a) => Eq (Ket a) (Show a, Eq a, Ord a) => Show (Ket a) Ord a => DiracVector (Ket a)

(*>) :: (Ord a, Ord b) => Ket a -> Ket b -> Ket (Tuple a b) Source

(|>) :: Ord a => Scalar -> Ket a -> Ket a Source

(+>) :: Ord a => Ket a -> Ket a -> Ket a Source

reduceKet :: Ord a => Ket a -> Ket a Source

ketBasis :: Ord a => Ket a -> [Ket a] Source

toBra :: Ord a => Ket a -> Bra a Source

data Bra a Source

Constructors BraZero Bra a Scalar :<| (Bra a) (Bra a) :<+ (Bra a) Instances (Eq a, Ord a) => Eq (Bra a) (Show a, Eq a, Ord a) => Show (Bra a) Ord a => DiracVector (Bra a)

(<*) :: (Ord a, Ord b) => Bra a -> Bra b -> Bra (Tuple a b) Source

(<|) :: Ord a => Scalar -> Bra a -> Bra a Source

(<+) :: Ord a => Bra a -> Bra a -> Bra a Source

reduceBra :: Ord a => Bra a -> Bra a Source

braBasis :: Ord a => Bra a -> [Bra a] Source

toKet :: Ord a => Bra a -> Ket a Source

(<>) :: Ord a => Bra a -> Ket a -> Scalar Source

d :: Eq a => a -> a -> Scalar Source

closure :: (DiracVector a, DiracVector b) => (a -> b) -> a -> b Source

(><) :: (DiracVector b, DiracVector a) => (a -> b) -> a -> b Source

label :: t -> Ket t1 -> Ket (t, t1) Source

rot :: Ket Int -> Ket (Int, Int) Source

label' :: (Ord a, Ord b) => Ket (a, b) -> Ket b Source

rot' :: Ket (Int, Int) -> Ket Int Source

showsScalar :: RealFloat t => Int -> Complex t -> String -> String Source

data Tuple a b Source

Constructors a :* b Instances (Eq a, Eq b) => Eq (Tuple a b) (Ord a, Ord b) => Ord (Tuple a b) (Show a, Show b) => Show (Tuple a b)

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