Difference between revisions of "Rotframe.m"

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{{DISPLAYTITLE:rotframe.m}}
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{{DISPLAYTITLE:rotframe.m}} __NOTOC__
 
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==
  
    H=rotframe(spin_system,H0,H,isotope,order)
 
  
==Arguments==
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    Hr=rotframe(spin_system,H0,H,isotope,order)
 +
 
 +
==Parameters==
  
 
     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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     H      - laboratory frame Hamiltonian H0+H1 that is to
 
     H      - laboratory frame Hamiltonian H0+H1 that is to
 
             be transformed into the rotating frame  
 
             be transformed into the rotating frame  
 
+
 
     isotope - string, such as '1H', specifying the spins
 
     isotope - string, such as '1H', specifying the spins
 
               with respect to which the transformation is
 
               with respect to which the transformation is
 
               being computed
 
               being computed
 
+
 
     order  - perturbation theory order in the rotating
 
     order  - perturbation theory order in the rotating
 
               frame transformation, this may be inf
 
               frame transformation, this may be inf
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==See also==
 
==See also==
[[intrep.m]], [[average.m]], [[dirdiff.m]], [[propagator.m]], [[equilibrium.m]]
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[[intrep.m]], [[average.m]], [[dirdiff.m]], [[propagator.m]], [[equilibrium.m]], [[carrier.m]], [[frqoffset.m]], [[Kernel_functions]]
 
 
  
 
''Version 2.2, authors: [[Ilya Kuprov]]''
 
''Version 2.2, authors: [[Ilya Kuprov]]''

Latest revision as of 19:41, 6 June 2026

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

Syntax

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

Parameters

   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, carrier.m, frqoffset.m, Kernel_functions

Version 2.2, authors: Ilya Kuprov