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College Physics

On wisdom in founding the quantum mechanics——The 80～81 anniversary of the birth of matrix-and wave-mechanics

Zhao Kai-hua

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The tortuous path getting to the founding of quantum mechanics in 1925—1926 is reviewed,stressing on the historical heritage from the classical analytical mechanics and the physical ideas full of genius expressed on the way.

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创立量子力学的睿智才思（续2）－纪念矩阵力学和波动力学诞生80~81周年

赵凯华

The tortuous path getting to the founding of quantum mechanics in 1925-1926 is reviewed, stressing on the historical heritage from the classical analytical mechanics and the physical ideas full of genius expressed on the way.

大学物理•Nov 1, 2006•0 citations

One Hundred Years of Quantum Physics

Daniel Kleppner, R. Jackiw

On the occasion of the 100th anniversary of the birth of the quantum idea, the development, achievements, and promises of quantum mechanics are described.

arXiv:quant-ph/0008092•Aug 22, 2000•1 citation

Origin of wave mechanics

William Hunter McCrea

A review of The Historical Development of Quantum Theory, Volume 5; Erwin Schrödinger and the Rise of Wave Mechanics. Part 1 Schrödinger in Vienna and Zurich 1887–1925, and Part 2 The Creation of Wave Mechanics; Early Response and Applications. By Jagdish Mehra and Helmut Rechenberg. (Springer, 1987.) Part 1 [Pp. xviii+336.] £32·40 ISBN 3540 96284 0. Part 2 [Pp. 367–980]. £48·50. ISBN 3540 96377 4. This volume is dedicated to the memory of Erwin Schrödinger (1887–1961) on the centenary of his birth.

Contemporary Physics•Jan 1, 1990•1 citation

THE BIRTH AND GROWTH OF QUANTUM THEORYFROM QUANTUM HYPOTHESIS TO QUANTUM MECHANICS

Peng Huan

This short history covers the birth and early growth of quantum theory from 1900 to 1928, beginning with Planck′s formula and the quantum hypothesis for the black-body radiation. After a description of the rise and decline of the old quantum theory in connection with its application in spectroscopy, two paths based on the rigorous formulation of the correspondence principle leading to matrix mechanics (1925) and Dirac′s non-commuting q-numbers (1925) are explained. Another path based on the generalization of the wave-particle aspect of lightquanta is then shown to lead to wave mechanics (1926). Among the works during the early growth of quantum mechanics in 1927—1928, representation theory, the uncertainty principle, two-electron problems, and Dirac′s relativistic theory of electrons are discussed.

•Jan 1, 2001•0 citations

Celebrating the Birth Centenary of Quantum Mechanics: A Historical Perspective

Venkat Venkatasubramanian

High Resolution Image Download MS PowerPoint Slide In July 1925, Werner Heisenberg submitted a paper to Zeitschrift für Physik entitled ‘On quantum-theoretical reinterpretation of kinematic and mechanical relationships’, thus giving birth to quantum mechanics. In the following year, building on de Broglie’s wave-particle duality, Erwin Schrödinger developed wave mechanics, and soon, Max Born provided a probabilistic interpretation of the wave function. The theory was further enriched by the exclusion principle of Wolfgang Pauli and the uncertainty principle of Heisenberg, which ultimately led to the development of relativistic quantum mechanics by Dirac. The Copenhagen Interpretation created a probabilistic framework for understanding the theory. Over the past century, quantum mechanics has paved the way for advances in quantum field theory, computing, and modern technologies. This historical narrative provides insights into the complex discovery process that led to the development of quantum mechanics, which can potentially guide novel breakthroughs amid challenging conceptual struggles, as seen in the field of artificial intelligence today.

Industrial & Engineering Chemistry Research•May 5, 2025•4 citations

Quantum mechanics

Yutaka Toyozawa

Elements of quantum mechanics Quantum mechanics was discovered in 1925 through groping efforts to compromise two apparently contradictory pictures on the fundamental entities in nature. One was the wave picture for light which was later extended to matter by de Broglie, another was the corpuscular picture of matter which was later extended to light by Einstein. Schrödinger's wave equation came as a natural development of the first stream, while Heisenberg's matrix mechanics was presented as a unique proposal from the second stream. In spite of completely different appearances, the two theories proved, within a couple of years after their discoveries, to be equivalent. This is a most beautiful example that the physical reality exists independent of the mathematical framework formulated for its description. In this chapter, we will give a very brief review of the principles of quantum mechanics, 1–3 mainly with the harmonic oscillator as a model system for the following reasons. The first is historical: the electromagnetic wave, whose interaction with matter is the subject of this book, is a harmonic oscillator, a system which was for the first time subject to “quantization”, thus opening a way to the discovery of quantum mechanics. The second is technical: the harmonic oscillator is one of very few examples of analytically soluble problems in quantum mechanics. The third is pedagogical: the harmonic oscillator is a system best suited for realization of the equivalence of the two different pictures mentioned above and hence for a deeper understanding of the principles of quantum mechanics.

Cambridge University Press eBooks•Jan 9, 2003•0 citations
A review of The Historical Development of Quantum Theory, Volume 5; Erwin Schrödinger and the Rise of Wave Mechanics. Part 1 Schrödinger in Vienna and Zurich 1887–1925, and Part 2 The Creation of Wave Mechanics; Early Response and Applications. By Jagdish Mehra and Helmut Rechenberg. (Springer, 1987.) Part 1 [Pp. xviii+336.] £32·40 ISBN 3540 96284 0. Part 2 [Pp. 367–980]. £48·50. ISBN 3540 96377 4. This volume is dedicated to the memory of Erwin Schrödinger (1887–1961) on the centenary of his birth.
This short history covers the birth and early growth of quantum theory from 1900 to 1928, beginning with Planck′s formula and the quantum hypothesis for the black-body radiation. After a description of the rise and decline of the old quantum theory in connection with its application in spectroscopy, two paths based on the rigorous formulation of the correspondence principle leading to matrix mechanics (1925) and Dirac′s non-commuting q-numbers (1925) are explained. Another path based on the generalization of the wave-particle aspect of lightquanta is then shown to lead to wave mechanics (1926). Among the works during the early growth of quantum mechanics in 1927—1928, representation theory, the uncertainty principle, two-electron problems, and Dirac′s relativistic theory of electrons are discussed.
High Resolution Image Download MS PowerPoint Slide In July 1925, Werner Heisenberg submitted a paper to Zeitschrift für Physik entitled ‘On quantum-theoretical reinterpretation of kinematic and mechanical relationships’, thus giving birth to quantum mechanics. In the following year, building on de Broglie’s wave-particle duality, Erwin Schrödinger developed wave mechanics, and soon, Max Born provided a probabilistic interpretation of the wave function. The theory was further enriched by the exclusion principle of Wolfgang Pauli and the uncertainty principle of Heisenberg, which ultimately led to the development of relativistic quantum mechanics by Dirac. The Copenhagen Interpretation created a probabilistic framework for understanding the theory. Over the past century, quantum mechanics has paved the way for advances in quantum field theory, computing, and modern technologies. This historical narrative provides insights into the complex discovery process that led to the development of quantum mechanics, which can potentially guide novel breakthroughs amid challenging conceptual struggles, as seen in the field of artificial intelligence today.
Elements of quantum mechanics Quantum mechanics was discovered in 1925 through groping efforts to compromise two apparently contradictory pictures on the fundamental entities in nature. One was the wave picture for light which was later extended to matter by de Broglie, another was the corpuscular picture of matter which was later extended to light by Einstein. Schrödinger's wave equation came as a natural development of the first stream, while Heisenberg's matrix mechanics was presented as a unique proposal from the second stream. In spite of completely different appearances, the two theories proved, within a couple of years after their discoveries, to be equivalent. This is a most beautiful example that the physical reality exists independent of the mathematical framework formulated for its description. In this chapter, we will give a very brief review of the principles of quantum mechanics, 1–3 mainly with the harmonic oscillator as a model system for the following reasons. The first is historical: the electromagnetic wave, whose interaction with matter is the subject of this book, is a harmonic oscillator, a system which was for the first time subject to “quantization”, thus opening a way to the discovery of quantum mechanics. The second is technical: the harmonic oscillator is one of very few examples of analytically soluble problems in quantum mechanics. The third is pedagogical: the harmonic oscillator is a system best suited for realization of the equivalence of the two different pictures mentioned above and hence for a deeper understanding of the principles of quantum mechanics.