The mathematical symphony of the quantum world
DOI:
https://doi.org/10.47456/Cad.Astro.v6n2.50080Keywords:
quantum mechanics, mathematical formalism, mathematical-physicsAbstract
This text explores the profound and beautiful interplay between quantum physics and mathematics. We jour
ney from the crisis of classical physics at the turn of the 20th century to the elegant, abstract mathematical frameworks that define modern quantum mechanics. We will see how physical problems forced the invention of new mathematics and how mathematical structures, in turn, provided the language to describe the quantum realm. Key figures like Planck, Einstein, Heisenberg, Born, von Neumann, Weyl, and Dirac will guide us,revealing a story where physical intuition and mathematical formalism are inextricably linked.
References
[1] M. Jammer, The Conceptual Development of Quantum Mechanics (McGraw-Hill, New York, 1966).
[2] F. K. Richtmyer, E. H. Kennard e J. Ν. Cooper, Introduction to Modern Physics (McGraw-Hill, New York, 1969), 6th ed.
[3] B. L. van der Waerden, Sources of Quantum Mechanics (Dover, New York, 1967).
[4] J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955).
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Copyright (c) 2025 Giuseppe Dito
This work is licensed under a Creative Commons Attribution 4.0 International License.
