Difference between revisions of "Rotframe.m"

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{{DISPLAYTITLE:rotframe.m}} __NOTOC__
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{{DISPLAYTITLE:rotframe.m}}
 
 
 
Rotating frame transformation with respect to specified spins to specified order in perturbation theory (https://doi.org/10.1063/1.4928978).
 
Rotating frame transformation with respect to specified spins to specified order in perturbation theory (https://doi.org/10.1063/1.4928978).
  
 
==Syntax==
 
==Syntax==
  
Hr=rotframe(spin_system,H0,H,isotope,order)
+
    H=rotframe(spin_system,H0,H,isotope,order)
  
 
==Arguments==
 
==Arguments==
  
H0    - carrier Hamiltonian with respect to which the
+
    H0    - carrier Hamiltonian with respect to which the
 
             rotating frame transformation is to be done
 
             rotating frame transformation is to be done
 
    
 
    
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==Outputs==
 
==Outputs==
  
Hr      - rotating frame Hamiltonian
+
    H      - rotating frame Hamiltonian
 
 
Notes: the auxiliary matrix method is massively faster than
 
        either commutator series or diagonalisation.
 
 
 
ilya.kuprov@weizmann.ac.il
 
  
 
==Notes==
 
==Notes==
 
 
The auxiliary matrix method is massively faster than either commutator series or diagonalisation.
 
The auxiliary matrix method is massively faster than either commutator series or diagonalisation.
  
 
==See also==
 
==See also==
 
 
[[intrep.m]], [[average.m]], [[dirdiff.m]], [[propagator.m]], [[equilibrium.m]]
 
[[intrep.m]], [[average.m]], [[dirdiff.m]], [[propagator.m]], [[equilibrium.m]]
  
  
 
''Version 2.2, authors: [[Ilya Kuprov]]''
 
''Version 2.2, authors: [[Ilya Kuprov]]''

Revision as of 15:50, 5 April 2026

Rotating frame transformation with respect to specified spins to specified order in perturbation theory (https://doi.org/10.1063/1.4928978).

Syntax

    H=rotframe(spin_system,H0,H,isotope,order)

Arguments

   H0     - carrier Hamiltonian with respect to which the
            rotating frame transformation is to be done
 
   H      - laboratory frame Hamiltonian H0+H1 that is to
            be transformed into the rotating frame 
 
   isotope - string, such as '1H', specifying the spins
             with respect to which the transformation is
             being computed
 
   order   - perturbation theory order in the rotating
             frame transformation, this may be inf

Outputs

   H       - rotating frame Hamiltonian

Notes

The auxiliary matrix method is massively faster than either commutator series or diagonalisation.

See also

intrep.m, average.m, dirdiff.m, propagator.m, equilibrium.m


Version 2.2, authors: Ilya Kuprov