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documentation:language_reference:functions:start [2024/06/04 14:31] – Maurits W. Haverkortdocumentation:language_reference:functions:start [2024/12/31 13:54] (current) – Maurits W. Haverkort
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-### 
-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 lua definitions.Quanty> +This section of the documentation lists all global functions and gives a short explanation of what they do. Note that functions that act on a specific structure or object are listed under the section [[documentation:language_reference:objects:start|Objects]] 
-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 ===== ===== Defined functions =====
 {{indexmenu>.#2}} {{indexmenu>.#2}}

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