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Peer-reviewedCC BY 4.0Axioms

Parametrized Relativistic Quantum Theory: Framework and Application to Scanning Tunneling Microscopy

  • John R. Fanchi1
  1. 1College of Science and Engineering, Texas Christian University, Fort Worth, TX 76177, USA
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Abstract

Parametrized Relativistic Quantum Theory (PRQT) extends conventional relativistic quantum mechanics by introducing an invariant evolution parameter (s) and a broader symmetry group. This paper presents the axiomatic and probabilistic foundations of PRQT. The resulting Stueckelberg equation is applied to the study of barrier penetration, with explicit calculations for scanning tunneling microscopy (STM). The STM application demonstrates high sensitivity to barrier width and quantitative agreement between exact and thick-barrier approximations.

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Cite

BibTeXRIS
BibTeX
@article{fanchi2026parametrized,
  title = {{Parametrized Relativistic Quantum Theory: Framework and Application to Scanning Tunneling Microscopy}},
  author = {John R. Fanchi},
  journal = {Axioms},
  year = {2026},
  month = oct,
  doi = {10.3390/axioms15100760},
  url = {https://www.mdpi.com/2075-1680/15/10/760},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Parametrized Relativistic Quantum Theory: Framework and Application to Scanning Tunneling Microscopy
AU  - John R. Fanchi
PY  - 2026
DA  - 2026/10/12
JO  - Axioms
DO  - 10.3390/axioms15100760
UR  - https://www.mdpi.com/2075-1680/15/10/760
AB  - Parametrized Relativistic Quantum Theory (PRQT) extends conventional relativistic quantum mechanics by introducing an invariant evolution parameter (s) and a broader symmetry group. This paper presents the axiomatic and probabilistic foundations of PRQT. The resulting Stueckelberg equation is applied to the study of barrier penetration, with explicit calculations for scanning tunneling microscopy (STM). The STM application demonstrates high sensitivity to barrier width and quantitative agreement between exact and thick-barrier approximations.
SN  - 2075-1680
ER  -