Modelling Short Range Alternating Transitions by Alternating Practical Test Functions

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Abstract

As it is known, practical test-functions [1] are very useful for modeling suddenly emerging phenomena. By this study we are trying to use some specific features of these functions for modeling aspects connected with transitions from a certain steady-state to another, with emphasis on he use of short range alternating functions. The use of such short range alternating functions is required by the fact that in modern physics (quantum physics) all transitions imply the use of certain quantum particles (field quantization) described using associated frequencies for their energy. Due to this reason, a connection between a wave interpretation of transitions (based on continuous functions0 and corpuscle interpretation of transitions (involving creation and annihilation of certain quantum particles) should be performed using certain oscillations defined on a limited time interval corresponding to the transition from one steady-state to another.