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The Origin of Quantum Concepts

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Fundamentals of Quantum Physics

Part of the book series: Undergraduate Lecture Notes in Physics ((ULNP))

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Abstract

At the end of the nineteenth century, just when the classical theories had blossomed into beautiful and elegant formulations, new challenges troubled the scientific community. The spectroscopic methods applied to analyze the atomic and the blackbody radiations, accumulated evidences that could not be explained with the existing theories. The electromagnetic theory, that reached its summit with the Maxwell equations, at the time recognized the ether as the medium of wave propagation, even though the Michelson-Morley experiment denied it. With the discovery of electrons, in 1897, the interest in understanding the atomic structure grew up steadily to become soon a true challenge for experimental and theoretical physicists. These and other problems, underpinned a period of crisis and prolific creativity. Max Planck and Albert Einstein, are emblematic symbols of two new theories of the modern physics that grew out of the crisis: the quantum physics and the relativity theory. Both theories undermined the classical physics and introduced new concepts that not only changed physics but also pervaded and gave shape to the modern culture, dominated by the communications industry and the optoelectronic devices.

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Notes

  1. 1.

    For derivations of the average energy and some other important expressions, see Lectures on Physics by Richard P. Feynman, Robert Leighton and Matthew Sands (Addison-Wesley, 1964) and Introducción a la mecánica cuántica by L. de la Peña (Fondo de Cultura Económica and UNAM, México, 1991).

  2. 2.

    \(k_B =1\).\(380658 10^{-23}\)J/K\(^{-1}\).

  3. 3.

    J. W. S. Rayleigh, Philosophical Magazine, series 5, 49 (301): 539 (1900); J. H. Jeans, Phil. Trans. R. Soc. A, 196 274: 397 (1901).

  4. 4.

    Apparently this term was coined by Paul Ehrenfest, some years later.

  5. 5.

    M. Planck, Ann. Phys., 4, 553 (1901).

  6. 6.

    This is one of the fundamental constants in physics and of the laws of nature.

  7. 7.

    In A. Einstein, Ann. Phys. 17,132 (1905).

  8. 8.

    This is known as the work function W, and it is related to the electron’s binding energy.

  9. 9.

    In the especial theory of relativity we have the relation \(E^2=p^2c^2+(m_oc^2)^2\) between energy \(E\), momentum \(p\) and the rest energy \(m_oc^2\). It is clear that for \(m_o=0\), we are left with \(E=pc\). If \(m\) is the mass of the particle when it is moving and \(E=mc^2\), the rest mass \(m_o\) and the moving particle mass \(m\) are related by \(m^2(1-v^2/c^2)=m_o^2\).

  10. 10.

    At that time it was common to assume that the emitted radiation frequency was related with the electron’s oscillation frequency.

  11. 11.

    N. Bohr, Philosophical Magazine, ser. 6 vol. 26, 1 (1913). Notice the factor ½.

  12. 12.

    A. Einstein, Mitteilungen der Physikalischen Gesellschaft Zürich 18 , 47 (1916) and Phys. Zs. 18, 121 (1917).

  13. 13.

    By adopting the idea of Einstein and limiting the frequency \(\omega \) to a maximum frequency \(\omega _D.\)

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Correspondence to Pedro Pereyra Padilla .

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© 2012 Springer-Verlag Berlin Heidelberg

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Pereyra Padilla, P. (2012). The Origin of Quantum Concepts. In: Fundamentals of Quantum Physics. Undergraduate Lecture Notes in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29378-8_1

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  • DOI: https://doi.org/10.1007/978-3-642-29378-8_1

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