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Our focus is on fostering synergy among fields and promoting the swift expansion of scientific understanding.

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Gaussian-Transform for the Dirac Wave Function and its Application to the Multicenter Molecular Integral Over Dirac Wave Functions for Solving the Molecular Matrix Dirac Equation
Research Article November 04, 2024

Gaussian-Transform for the Dirac Wave Function and its Application to the Multicenter Molecular Integral Over Dirac Wave Functions for Solving the Molecular Matrix Dirac Equation

Technical & Economic Feasibility Study of Proposed Pump Storage Power Plants at Kuda Oya, Mul Oya, Gurugal Oya, and Dambagasthalawa
Research Article November 06, 2024

Technical & Economic Feasibility Study of Proposed Pump Storage Power Plants at Kuda Oya, Mul Oya, Gurugal Oya, and Dambagasthalawa

Knowledge Discovery on Artificial Intelligence and Physical Therapy: Document Mining Analysis
Research Article November 21, 2024

Knowledge Discovery on Artificial Intelligence and Physical Therapy: Document Mining Analysis

High Resolution X-ray Diffraction Studies of the Natural Minerals of Gas Hydrates and Occurrence of Mixed Phases
Review Article November 04, 2024

High Resolution X-ray Diffraction Studies of the Natural Minerals of Gas Hydrates and Occurrence of Mixed Phases

Nanorobots in Medicine: Advancing Healthcare through Molecular Engineering:  A Comprehensive Review
Review Article November 28, 2024

Nanorobots in Medicine: Advancing Healthcare through Molecular Engineering: A Comprehensive Review

The Intersection of Artificial Intelligence in Public Health and Personalized Cancer Therapy
Editorial November 06, 2024

The Intersection of Artificial Intelligence in Public Health and Personalized Cancer Therapy

About the Problem of Climate Warming
Short Communication November 13, 2024

About the Problem of Climate Warming

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Published: November 04, 2024 (285d) publication certificate
Gaussian-Transform for the Dirac Wave Function and its Application to the Multicenter Molecular Integral Over Dirac Wave Functions for Solving the Molecular Matrix Dirac Equation Research Article

Gaussian-Transform for the Dirac Wave Function and its Application to the Multicenter Molecular Integral Over Dirac Wave Functions for Solving the Molecular Matrix Dirac Equation

Kazuhiro Ishida*

Gaussian-transform formula is derived for the Dirac wave function. Using it, one can derive the multicenter molecular integral over Dirac wave functions for any physical quantity. As the first application of it, multicenter molecular integrals over Dirac wave functions are derived for the homogeneous charge density distribution model and the Gauss-type charge density distribution model. Such integrals are necessary for solving the gauge-invariant molecular matrix Dirac equation with using the restricted magnetic balance.