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The Birth of Quantum Mechanics and the Dirac Equation

Volodimir Simulik, Denys I. Bondar·February 27, 2026
physics.hist-phMathematical PhysicsQuantum Physics

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Abstract

This paper commemorates the 100th anniversary of quantum mechanics as a theoretical model of atomic phenomena. We discuss briefly the foundational contributions of Werner Heisenberg, Wolfgang Pauli, Erwin Shrodinger, and Paul Dirac to the development of quantum theory. Special attention is given to the often-overlooked contributions of Charles Galton Darwin and Hendrik Anthony Kramers. We examine the three periods of quantum theory development: foundation, development, and the modern era connected with information science. The paper also highlights current challenges facing quantum theory, including the quantum-classical boundary, quantum gravity, and the mysteries of dark matter and dark energy. One of the goals of this article is to extend the recent review in J. Phys. A: Math. Theor. 58 (2025) 053001 primarily by a a more detailed consideration of the period of formation of quantum mechanics.

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