Spectral-IQ Method

Quantum Nanochemistry-Volume I Quantum Theory and Observability 

One notes, for instance, that when quantum fluctuations asymptotically increase, the wave contents become inflnite and cancel the particle observability, according to the Eq. (4.556). 

Instead, even when a system hypothetically experiences zero quantum fluctuations, the wave nature of the system will be still slightly dominant over its partiele side at both observed and free evolutions see the upper branehes of Eqs. (4.556) and (4.562). These extremes show that the wave nature of matter will never be fully transferred to particle contents and the mesosystems will never be fully charaeterized by pure particle (or meehanieal) features. 

However, it is apparent from Eq. (4.562) that free evolution of a stable system is merely assoeiated with particle dominance, however, without being manifestly observable in faet, such peculiar particle behavior of the free evolutions of stable matter eonfirms its iimer quantum nature by quantiflable features. 

FIGURE 4.7 Depicted tendencies of the observed, free and inverse quantum (IQ) evolutions of the particle-to-wave ratio with respect to the quantum fluctuations (n) upon Eqs. (4.556), (4.562), and (4.571), respectively the additional curve of residual inverse quantum index RQ = I - IQ was added with the purpose of showing that free evolutions parallels that is symmetrical with respect to the IQ factor (Putz Putz, 2012). 

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Putz, A. M., Putz, M. V. (2012). Spectral inverse quantum (Spectral-IQ) method for modeling mesoporous systems, apphcationon silica films by FTIR. Int J. Mol. Sci. 13(12), 15925-15941 (DOI, 10.3390/ijmsl31215925). 

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