Equalization principles in open subsystems, origins of information descriptors and state-continuity relations

Abstract

The electronegativity-equalization at several hypothetical stages of chemical reactions is reexamined and phase-equalization in open substrates is explored. The equivalence of the energy and information reactivity criteria is stressed and local energy concept is shown to determine time-evolutions of wavefunction components. Independent sources of information content in electronic states are identifi ed and the need for resultant entropy-information measures in quantum mechanics, combining information contributions due to the classical (probability) and nonclassical (phase/current) distributions, is reemphasized. Limitations for a simultaneous removal of uncertainties in the position and velocity distributions imposed by the Heisenberg indeterminacy principle, are discussed, continuities of the wavefunction modulus and phase components are examined, the convectional character of the local source of resultant gradient information is stressed, and a latent (“horizontal”) probability currents in the stationary quantum states are discussed.