Summary
The formalism with continuous time and the formalism with discrete time are investigated in the theories with discrete-space structure. It is shown that both formalisms lead to actually the same physical results provided the considered subsystem is much smaller than the whole quantum-mechanical system. The relation between the formalism with discrete time and the effective theory with continuous time is obtained in a simple form. The effect of discrete time is measurable only if the subsystem S becomes the whole system R.
Riassunto
Si studiano il formalismo col tempo continuo e quello con tempo discreto nelle teorie con struttura di spazio discreto. Si mostra che entrambi i formalismi portano effecttivamente agli stessi risultati fisici purchè il sottosistema considerato sia molto piú piccolo dell’intero sistema quantomeccanico. La relazione tra il formalismo con tempo discreto e la teoria efficace con tempo continuo è ottenuta in forma semplice. L’effetto del tempo discreto è misurabile solo se il sottosistema S diventa l’intero sistema R.
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Dadić, I., Pisk, K. Discretevs. continuous time formulations of discrete dynamics. Nuovo Cim B 73, 86–90 (1983). https://doi.org/10.1007/BF02721509
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DOI: https://doi.org/10.1007/BF02721509