Quantum calculus | Wikipedia audio article
Channel: wikipedia tts
Date: 24/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Quantum_calculus


00:00:59 1 Differentiation
00:03:40 2 Integration
00:03:49 2.1 q-integral
00:04:46 2.2 h-integral
00:04:49 3 Example
00:04:58 4 History
00:05:56 5 See also
00:09:49 6 References
00:10:23 See also



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SUMMARY
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Quantum calculus, sometimes called calculus without limits, is equivalent to traditional infinitesimal calculus without the notion of limits. It defines "q-calculus" and "h-calculus", where h ostensibly stands for Planck's constant while q stands for quantum. The two parameters are related by the formula

  
    
      
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    {\displaystyle q=e^{ih}=e^{2\pi i\hbar }\,}
  where 
  
    
      
        
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    {\displaystyle \scriptstyle \hbar ={\frac {h}{2\pi }}\,}
   is the reduced Planck constant.