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documentation:language_reference:functions:start [2016/10/06 22:56] – created Maurits W. Haverkortdocumentation:language_reference:functions:start [2024/06/04 14:50] (current) – Maurits W. Haverkort
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 +====== Functions ======
  
 +
 +###
 +This section of the documentation lists all functions and gives a short explanation of what they do. In order to run examples we define a set of standard operators, wave-functions and objects. These are stored in the file definitions.Quanty and loaded in several of the examples below. The definitions are:
 +###
 +
 +<code Quanty definitions.Quanty>
 +Verbosity(0x0)
 +
 +Nf=6
 +Nb=0
 +IndexDn={0,2,4}
 +IndexUp={1,3,5}
 +
 +Opp1 = NewOperator("Lx",Nf,IndexUp,IndexDn)
 +Opp2 = NewOperator("Ly",Nf,IndexUp,IndexDn)
 +psi1 = NewWavefunction(Nf,Nb,{{"100010",sqrt(9/10)},{"110000",sqrt(1/10)}})
 +psi2 = NewWavefunction(Nf,Nb,{{"010010",1}})
 +mat = {{1,1,0},
 +       {1,2,1},
 +       {0,1,3}}
 +       
 +OppLx    = NewOperator("Lx",   Nf,IndexUp,IndexDn)
 +OppLy    = NewOperator("Ly",   Nf,IndexUp,IndexDn)
 +OppLz    = NewOperator("Lz",   Nf,IndexUp,IndexDn)
 +OppLsqr  = NewOperator("Lsqr", Nf,IndexUp,IndexDn)
 +OppSx    = NewOperator("Sx",   Nf,IndexUp,IndexDn)
 +OppSy    = NewOperator("Sy",   Nf,IndexUp,IndexDn)
 +OppSz    = NewOperator("Sz",   Nf,IndexUp,IndexDn)
 +OppSsqr  = NewOperator("Ssqr", Nf,IndexUp,IndexDn)
 +OppJx    = NewOperator("Jx",   Nf,IndexUp,IndexDn)
 +OppJy    = NewOperator("Jy",   Nf,IndexUp,IndexDn)
 +OppJz    = NewOperator("Jz",   Nf,IndexUp,IndexDn)
 +OppJsqr  = NewOperator("Jsqr", Nf,IndexUp,IndexDn)
 +Oppldots = NewOperator("ldots",Nf,IndexUp,IndexDn)
 +OppU     = NewOperator("U",    Nf,IndexUp,IndexDn,{0,10})
 +Akm = PotentialExpandedOnClm("D2h",1,{0,0,1}) 
 +Opppx = Chop(NewOperator("CF", Nf, IndexUp, IndexDn, Akm))
 +Opppx.Name="Opp px"
 +Akm = PotentialExpandedOnClm("D2h",1,{0,1,0}) 
 +Opppy = Chop(NewOperator("CF", Nf, IndexUp, IndexDn, Akm))
 +Opppy.Name="Opp py"
 +Akm = PotentialExpandedOnClm("D2h",1,{1,0,0}) 
 +Opppz = Chop(NewOperator("CF", Nf, IndexUp, IndexDn, Akm))
 +Opppz.Name="Opp pz"
 +
 +psim1dn = NewWavefunction(Nf,Nb,{{"100000",1}})
 +psi0dn  = NewWavefunction(Nf,Nb,{{"001000",1}})
 +psip1dn = NewWavefunction(Nf,Nb,{{"000010",1}})
 +psim1up = NewWavefunction(Nf,Nb,{{"010000",1}})
 +psi0up  = NewWavefunction(Nf,Nb,{{"000100",1}})
 +psip1up = NewWavefunction(Nf,Nb,{{"000001",1}})
 +
 +psixdn  = NewWavefunction(Nf,Nb,{{"100000",  sqrt(1/2)},{"000010", -sqrt(1/2)}})
 +psiydn  = NewWavefunction(Nf,Nb,{{"100000",I*sqrt(1/2)},{"000010",I*sqrt(1/2)}})
 +psizdn  = NewWavefunction(Nf,Nb,{{"001000",1}})
 +psixup  = NewWavefunction(Nf,Nb,{{"010000",  sqrt(1/2)},{"000001", -sqrt(1/2)}})
 +psiyup  = NewWavefunction(Nf,Nb,{{"010000",I*sqrt(1/2)},{"000001",I*sqrt(1/2)}})
 +psizup  = NewWavefunction(Nf,Nb,{{"000100",1}})
 +
 +t = sqrt(1/2)
 +rotmat = {{  t,  0, 0, 0, -t,  0},
 +          {  0,  t, 0, 0,  0, -t},
 +          {I*t,  0, 0, 0,I*t,  0},
 +          {  0,I*t, 0, 0,  0,I*t},
 +          {  0,  0, 1, 0,  0,  0},
 +          {  0,  0, 0, 1,  0,  0}}
 +</code>
 +
 +===== Defined functions =====
 +{{indexmenu>.#2}}

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