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—documentation:language_reference:functions:partialoperator [2018/08/03 14:48] – created Simon Heinze
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 +====== PartialOperator ======
 +
 +(will be published in fall 2018)
 +
 +###
 +PartialOperator(//op//,//indices//) takes an operator and a list of indices and returns any part of //op// that acts on the index-set //indices//.
 +###
 +
 +===== Input =====
 +
 +  * //op// : An Operator.
 +  * //indices// : A list of indices.
 +
 +===== Output =====
 +
 +  * //partialOp// : The part of //op// acting on //indices//.
 +
 +===== Example =====
 +
 +==== Input ====
 +<code Quanty Example.Quanty>
 +NF = 4
 +
 +
 +op1 = NewOperator("Number",NF,{1},{1},{0.1+I}) + NewOperator("U",NF,{0},{1},{5}) + 3
 +op2 = NewOperator("Number",NF,{1},{1},{0.00001 + I}) + NewOperator("Number",NF,{2},{2},{1}) + NewOperator("U",NF,{0},{1},{0},{1},{2},{3},{2},{3},{3}) + NewOperator("U",NF,{0},{1},{5})
 +
 +print("op1:")
 +print(op1)
 +print("PartialOperator(op1, {0,1})")
 +print(PartialOperator(op1, {0,1}))
 +print("PartialOperator(op1, {2})")
 +print(PartialOperator(op1, {2}))
 +print("\n\n\n")
 +print("op2:")
 +print(op2)
 +print("PartialOperator(op2, {0,1})")
 +print(PartialOperator(op2, {0,1}))
 +print("PartialOperator(op2, {2})")
 +print(PartialOperator(op2, {2}))
 +</code>
 +
 +==== Result ====
 +<file Quanty_Output>
 +op1:
 +
 +Operator: CrAn
 +QComplex         =          2 (Real==0 or Complex==1 or Mixed==2)
 +MaxLength        =          4 (largest number of product of lader operators)
 +NFermionic modes =          4 (Number of fermionic modes (site, spin, orbital, ...) in the one particle basis)
 +NBosonic modes   =          0 (Number of bosonic modes (phonon modes, ...) in the one particle basis)
 +
 +Operator of Length   0
 +QComplex      =          0 (Real==0 or Complex==1)
 +N             =          1 (number of operators of length   0)
 +|  3.000000000000000E+00
 +
 +Operator of Length   2
 +QComplex      =          1 (Real==0 or Complex==1)
 +N             =          1 (number of operators of length   2)
 +C  1 A  1 |  1.000000000000000E-01  1.000000000000000E+00
 +
 +Operator of Length   4
 +QComplex      =          0 (Real==0 or Complex==1)
 +N             =          1 (number of operators of length   4)
 +C  1 C  0 A  1 A  0 | -5.000000000000000E+00
 +
 +
 +PartialOperator(op1, {0,1})
 +
 +Operator: 
 +QComplex         =          1 (Real==0 or Complex==1 or Mixed==2)
 +MaxLength        =          4 (largest number of product of lader operators)
 +NFermionic modes =          4 (Number of fermionic modes (site, spin, orbital, ...) in the one particle basis)
 +NBosonic modes   =          0 (Number of bosonic modes (phonon modes, ...) in the one particle basis)
 +
 +Operator of Length   2
 +QComplex      =          1 (Real==0 or Complex==1)
 +N             =          1 (number of operators of length   2)
 +C  1 A  1 |  1.000000000000000E-01  1.000000000000000E+00
 +
 +Operator of Length   4
 +QComplex      =          0 (Real==0 or Complex==1)
 +N             =          1 (number of operators of length   4)
 +C  1 C  0 A  1 A  0 | -5.000000000000000E+00
 +
 +
 +PartialOperator(op1, {2})
 +
 +Operator: 
 +QComplex         =          0 (Real==0 or Complex==1 or Mixed==2)
 +MaxLength        =          4 (largest number of product of lader operators)
 +NFermionic modes =          4 (Number of fermionic modes (site, spin, orbital, ...) in the one particle basis)
 +NBosonic modes   =          0 (Number of bosonic modes (phonon modes, ...) in the one particle basis)
 +
 +
 +
 +
 +
 +
 +op2:
 +
 +Operator: CrAn
 +QComplex         =          2 (Real==0 or Complex==1 or Mixed==2)
 +MaxLength        =          4 (largest number of product of lader operators)
 +NFermionic modes =          4 (Number of fermionic modes (site, spin, orbital, ...) in the one particle basis)
 +NBosonic modes   =          0 (Number of bosonic modes (phonon modes, ...) in the one particle basis)
 +
 +Operator of Length   2
 +QComplex      =          1 (Real==0 or Complex==1)
 +N             =          2 (number of operators of length   2)
 +C  1 A  1 |  1.000000000000000E-05  1.000000000000000E+00
 +C  2 A  2 |  1.000000000000000E+00  0.000000000000000E+00
 +
 +Operator of Length   4
 +QComplex      =          0 (Real==0 or Complex==1)
 +N             =          2 (number of operators of length   4)
 +C  1 C  0 A  3 A  2 | -3.000000000000000E+00
 +C  1 C  0 A  1 A  0 | -5.000000000000000E+00
 +
 +
 +PartialOperator(op2, {0,1})
 +
 +Operator: 
 +QComplex         =          1 (Real==0 or Complex==1 or Mixed==2)
 +MaxLength        =          4 (largest number of product of lader operators)
 +NFermionic modes =          4 (Number of fermionic modes (site, spin, orbital, ...) in the one particle basis)
 +NBosonic modes   =          0 (Number of bosonic modes (phonon modes, ...) in the one particle basis)
 +
 +Operator of Length   2
 +QComplex      =          1 (Real==0 or Complex==1)
 +N             =          1 (number of operators of length   2)
 +C  1 A  1 |  1.000000000000000E-05  1.000000000000000E+00
 +
 +Operator of Length   4
 +QComplex      =          0 (Real==0 or Complex==1)
 +N             =          2 (number of operators of length   4)
 +C  1 C  0 A  3 A  2 | -3.000000000000000E+00
 +C  1 C  0 A  1 A  0 | -5.000000000000000E+00
 +
 +
 +PartialOperator(op2, {2})
 +
 +Operator: 
 +QComplex         =          1 (Real==0 or Complex==1 or Mixed==2)
 +MaxLength        =          4 (largest number of product of lader operators)
 +NFermionic modes =          4 (Number of fermionic modes (site, spin, orbital, ...) in the one particle basis)
 +NBosonic modes   =          0 (Number of bosonic modes (phonon modes, ...) in the one particle basis)
 +
 +Operator of Length   2
 +QComplex      =          1 (Real==0 or Complex==1)
 +N             =          1 (number of operators of length   2)
 +C  2 A  2 |  1.000000000000000E+00  0.000000000000000E+00
 +
 +Operator of Length   4
 +QComplex      =          0 (Real==0 or Complex==1)
 +N             =          1 (number of operators of length   4)
 +C  1 C  0 A  3 A  2 | -3.000000000000000E+00
 +
 +
 +
 +</file>
 +
 +===== Table of contents =====
 +{{indexmenu>.#1}}
  

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