U ˜9%e| ã@sJdZddlmZmZddlmZdgZGdd„deƒZde_dd„e_ dS) zHermitian conjugation.é)ÚExprÚMul)ÚadjointÚDaggerc@s eZdZdZdd„Zdd„ZdS)rarGeneral 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. 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 cCsLt|dƒr| ¡}n t|dƒr4t|dƒr4| ¡ ¡}|dk r@|St ||¡S)NrÚ conjugateÚ transpose)ÚhasattrrrrrÚ__new__)ÚclsÚargÚobj©r ú[/var/www/html/Darija-Ai-API/env/lib/python3.8/site-packages/sympy/physics/quantum/dagger.pyr Ps   zDagger.__new__cCs$ddlm}t||ƒr|St||ƒS)Nr)ÚIdentityOperator)Zsympy.physics.quantumrÚ isinstancer)ÚselfÚotherrr r rÚ__mul__Ys  zDagger.__mul__N)Ú__name__Ú __module__Ú __qualname__Ú__doc__r rr r r rr sD cCsd| |jd¡S)Nz Dagger(%s)r)Z_printÚargs)ÚaÚbr r rÚaórN) rZ sympy.corerrZ$sympy.functions.elementary.complexesrÚ__all__rrZ _sympyreprr r r rÚs ÿU