An Introductory Study of the Hydrogen Atom with Paraquantum Logic
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Full Text(PDF, 1298KB) PP.312-333 DOI: 10.4236/jmp.2012.34044
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| Author(s) |
| João Inácio Da Silva Filho |
Paraquantum Logics (PQL) has its
origins in the fundamental concepts of the Paraconsistent Annotated
Logics (PAL) whose main feature is to be capable of treating
contradictory information. Based on a class of logics called
Paraconsistent Logics with annotations of two values (PAL2v), PQL
performs a logical treatment on signals obtained by measurements on
physical quantities which are considered Observable Variables in the
physical world. In the process of application of the PQL the obtained
values are transformed in Evidence Degrees and represented on a Lattice
of four Ver- tices where special equations transform these degrees into
Paraquantum logical states ψ which propagate. The propagation of
Paraquantum logical states provides us with results which can be
interpreted and modeled through phenomena studied in physics. Using the
paraquantum equations, we investigate the effects of balancing of
Energies and the quantization and transience properties of the
Paraquantum Logical Model in real Physical Systems. As a demonstration
of the usage of the paraquantum equations we perform a numerical
comparative study that applies the PQL to the Bohr’s model to find the
energy levels of the Hydrogen atom. It is verified that the values of
energy in each level of the Paraquantum logical model of the Hydrogen
atom are close to the values found by the conventional way. The results
through the Paraquantum Logic allow considering other important
properties of the atom, as the forecast of number of electrons in each
layer.
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