+ h `Rt^RIHtHt^RIHtR.t!RR]4tR]nR]n R#)zHermitian conjugation.)Exprsympify)adjointDaggerc>a]tRt^ toRt]R4tRRltRtVt R#)raGeneral Hermitian conjugate operation. Explanation =========== Take the Hermetian conjugate of an argument [1]_. For matrices this operation is equivalent to transpose and complex conjugate [2]_. Parameters ========== arg : Expr The SymPy expression that we want to take the dagger of. evaluate : bool Whether the resulting expression should be directly evaluated. Examples ======== Daggering various quantum objects: >>> from sympy.physics.quantum.dagger import Dagger >>> from sympy.physics.quantum.state import Ket, Bra >>> from sympy.physics.quantum.operator import Operator >>> Dagger(Ket('psi')) >> Dagger(Bra('phi')) |phi> >>> Dagger(Operator('A')) Dagger(A) Inner and outer products:: >>> from sympy.physics.quantum import InnerProduct, OuterProduct >>> Dagger(InnerProduct(Bra('a'), Ket('b'))) >>> Dagger(OuterProduct(Ket('a'), Bra('b'))) |b>>> A = Operator('A') >>> B = Operator('B') >>> Dagger(A*B) Dagger(B)*Dagger(A) >>> Dagger(A+B) Dagger(A) + Dagger(B) >>> Dagger(A**2) Dagger(A)**2 Dagger also seamlessly handles complex numbers and matrices:: >>> from sympy import Matrix, I >>> m = Matrix([[1,I],[2,I]]) >>> m Matrix([ [1, I], [2, I]]) >>> Dagger(m) Matrix([ [ 1, 2], [-I, -I]]) References ========== .. [1] https://en.wikipedia.org/wiki/Hermitian_adjoint .. [2] https://en.wikipedia.org/wiki/Hermitian_transpose c <VP^,P#)zHFind the kind of a dagger of something (just the kind of the something).)argskind)selfs&>/usr/lib/python3/dist-packages/sympy/physics/quantum/dagger.pyr Dagger.kindRsyy|   c*\VR4'dV'dVP4#\VR4'd9\VR4'd'V'dVP4P4#\P !V\ V44#)r conjugate transpose)hasattrrrrr__new__r)clsargevaluates&&&r rDagger.__new__Wsb 3 " "x;;= S+ & &73 +D+D==?,,. .||C..r N)T) __name__ __module__ __qualname____firstlineno____doc__propertyr r__static_attributes____classdictcell__) __classdict__s@r rr s*DL!!//r cTRVPVP^,4,#)z Dagger(%s))_printr)abs&&r r%_s,!&&)1D"Dr N) r sympy.corerr$sympy.functions.elementary.complexesr__all__rr _sympyreprrr r r*s;$8   Q/WQ/fDr