Qapply¶
Logic for applying operators to states.
Todo: * Sometimes the final result needs to be expanded, we should do this by hand.
- sympy.physics.quantum.qapply.qapply(e, **options)[source]¶
Apply operators to states in a quantum expression.
- Parameters
e : Expr
The expression containing operators and states. This expression tree will be walked to find operators acting on states symbolically.
options : dict
A dict of key/value pairs that determine how the operator actions are carried out.
The following options are valid:
dagger: try to apply Dagger operators to the left (default: False).ip_doit: call.doit()in inner products when they are encountered (default: True).
- Returns
e : Expr
The original expression, but with the operators applied to states.
Examples
>>> from sympy.physics.quantum import qapply, Ket, Bra >>> b = Bra('b') >>> k = Ket('k') >>> A = k * b >>> A |k><b| >>> qapply(A * b.dual / (b * b.dual)) |k> >>> qapply(k.dual * A / (k.dual * k), dagger=True) <b| >>> qapply(k.dual * A / (k.dual * k)) <k|*|k><b|/<k|k>