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I would like to get basic knowledge in this topic of time discretization, at least basics. Because of I'm new in this field I don't know what is better way to start. Could anybody suggest any reviews and books about such a topic, or at least where it was mentioned and discussed?

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Are you familiar with spatial discretization? I only ask because the two are pretty much identical. –  Kyle Kanos May 30 at 13:06
    
Just going to answer with eigenvalues of coordinate operator in QM, then found that you mean smt different. No I'm not familiar with this. –  seva011 May 30 at 13:15
    
How are you planning on using the discretization, solving the Schoedinger equation or some similar partial differential equation? –  Kyle Kanos May 30 at 13:16
    
Sorry for delay. So by means of finding of minimum eigenvalue of the coordinate operator. Then you can find a system where is eigenvalue is smallest among all quantum systems. And it will be a smallest distance. –  seva011 Jun 8 at 19:39

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