ó ¡¼™\c@s§dZddlmZddlmZddlmZmZmZddlm Z dddgZ defd „ƒYZ defd „ƒYZ defd „ƒYZ d S( sFermionic quantum operators.iÿÿÿÿ(tInteger(tOperator(t HilbertSpacetKettBra(tKroneckerDeltat FermionOptFermionFockKettFermionFockBracBsŒeZdZed„ƒZed„ƒZed„ƒZd„Zd„Z d„Z d„Z d„Z d „Z d „Zd „Zd „ZRS( s"A fermionic operator that satisfies {c, Dagger(c)} == 1. Parameters ========== name : str A string that labels the fermionic mode. annihilation : bool A bool that indicates if the fermionic operator is an annihilation (True, default value) or creation operator (False) Examples ======== >>> from sympy.physics.quantum import Dagger, AntiCommutator >>> from sympy.physics.quantum.fermion import FermionOp >>> c = FermionOp("c") >>> AntiCommutator(c, Dagger(c)).doit() 1 cCs |jdS(Ni(targs(tself((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pytname&scCst|jdƒS(Ni(tboolR (R ((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pytis_annihilation*scCs dtfS(Ntc(tTrue(R ((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt default_args.scOst|ƒdkr%td|ƒ‚nt|ƒdkrP|dtdƒf}nt|ƒdkr|dt|dƒf}ntj||ŒS(Niis"1 or 2 parameters expected, got %si(ii(tlent ValueErrorRRt__new__(tclsR thints((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyR2scKs$d|kr |dr tdƒSdS(Nt independenti(RtNone(R totherR((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt_eval_commutator_FermionOp>s cKsX|j|jkr2|j rT|jrTtdƒSn"d|krT|drTd||SdS(NiRi(R R RR(R RR((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt_eval_anticommutator_FermionOpEs   cKs d||S(Ni((R RR((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt_eval_anticommutator_BosonOpQscKs tdƒS(Ni(R(R RR((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt_eval_commutator_BosonOpUscCstt|jƒ|j ƒS(N(RtstrR R (R ((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt _eval_adjointXscGs/|jrdt|jƒSdt|jƒSdS(Ns{%s}s{{%s}^\dagger}(R RR (R tprinterR ((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt_print_contents_latex[s cGs/|jrdt|jƒSdt|jƒSdS(Ns%ss Dagger(%s)(R RR (R RR ((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt_print_contentsas cGsHddlm}|j|jd|Œ}|jr6|S||dƒSdS(Niÿÿÿÿ(t prettyFormiu†(t sympy.printing.pretty.stringpictR"t_printR R (R RR R"tpform((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt_print_contents_prettygs  (t__name__t __module__t__doc__tpropertyR R t classmethodRRRRRRRR R!R&(((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyRs      cBsVeZdZd„Zed„ƒZed„ƒZed„ƒZd„Z d„Z RS(sxFock state ket for a fermionic mode. Parameters ========== n : Number The Fock state number. cCs+|dkrtdƒ‚ntj||ƒS(Niisn must be 0 or 1(ii(RRR(Rtn((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyR{s cCs |jdS(Ni(tlabel(R ((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyR,€scCstS(N(R(R ((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt dual_class„scCstƒS(N(R(RR-((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt_eval_hilbert_spaceˆscKst|j|jƒS(N(RR,(R tbraR((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt!_eval_innerproduct_FermionFockBraŒscKsV|jr/|jdkr"tdƒStdƒSn#|jdkrHtdƒStdƒSdS(Nii(R R,RR(R toptoptions((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyt_apply_operator_FermionOps    ( R'R(R)RR*R,R+R.R/R1R4(((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyRps   cBs5eZdZd„Zed„ƒZed„ƒZRS(sxFock state bra for a fermionic mode. Parameters ========== n : Number The Fock state number. cCs+|dkrtdƒ‚ntj||ƒS(Niisn must be 0 or 1(ii(RRR(RR,((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyR§s cCs |jdS(Ni(R-(R ((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyR,¬scCstS(N(R(R ((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyR.°s(R'R(R)RR*R,R+R.(((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyRœs  N(R)tsympyRtsympy.physics.quantumRRRRt(sympy.functions.special.tensor_functionsRt__all__RRR(((s<lib/python2.7/site-packages/sympy/physics/quantum/fermion.pyts `,