Skipping over a few mathematical steps the probability of electron transfer can be calculated (albeit quite difficult) using the following formula

With 
  
    
      
        J
      
    
    {\displaystyle J}
   being the electronic coupling constant describing the interaction between the two states (reactants and products) and 
  
    
      
        g
        (
        t
        )
      
    
    {\displaystyle g(t)}
   being the line shape function. Taking the classical limit of this expression, meaning 
  
    
      
        ℏ
        ω
        ≪
        k
        T
      
    
    {\displaystyle \hbar \omega \ll kT}
  , and making some substitution an expression is obtained very similar to the classically derived formula, as expected.
Dopamine blockers
When pharmacological treatment is necessary, the most standard type of drug to use is an antidopaminergic drug. Blocking dopamine is effective in about ninety percent of patients. Perphenazine, pimozide, haloperidol, and chlorpromazine are standard choices for treatment. Scientists are still unsure as to why this form of treatment works, as dopamine has not been directly linked to hemiballismus. Anticonvulsants
An anticonvulsant called topiramate has helped patients in three cases and may be a viable treatment for the future. ITB therapy
Intrathecal baclofen (ITB) therapy is used to treat a variety of movement disorders such as cerebral palsy and multiple sclerosis. It can also be a possibility to help treat hemiballismus. In one case, before ITB the patient had an average of 10–12 ballism episodes of the right lower limb per hour. During episodes, the right hip would flex up to about 90 degrees, with a fully extended knee. After an ITB pump was implanted and the correct dosage was found, the frequency of ballistic right leg movements decreased to about three per day, and the right hip flexed to only 30 degrees. The patient was also able to better isolate individual distal joint movements in the right lower limb. The patient currently receives 202.4 microg/day of ITB and continues to benefit almost 6 years after the ITB pump was implanted. Botulinum injections
New uses for botulinum toxin have included treatment of hemiballismus. However, this is still in the early stages of testing. This treatment deals with the muscular manifestations of hemiballismus as opposed to the neurological causes.