The Genesis of Quantum Theory (1899–1913)

Hermann, Armin; Ruark, Arthur E.

doi:10.1119/1.1986850

Cited by 14 publications

(21 citation statements)

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“…This is the same form presented on the Karlsruhe meeting [Sommerfeld 1911], originating discussions with other participants on both events [Jammer 1966, Straumann 2011. The precedents for the Sommerfeld formula of 1911 were his works on a theory about γ-rays and β-decay, where both emissions were mutually related -it is convenient to emphasize that, at the time, there was no nuclear theory yet since Rutherford published the results of his pioneering experiments of scattering during 1911-1914 [Hermann 1971, Jammer 1966]. Prior to (3), after an exchange of letters with Planck, Sommerfeld wrote the expression…”

Section: Analysis a Precedentsmentioning

confidence: 91%

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Analysis of the Jun Ishiwara’s “The universal meaning of the quantum of action”

Pelogia

Brasil

2017

EPJ H

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Here we present an analysis of the paper "Universelle Bedeutung des Wirkungsquantums" (The universal meaning of the quantum of action), published by Jun Ishiwara in German in the "Proceedings of Tokyo Mathematico-Physical Society 8 (1915) 106-116". In his work, Ishiwara, established in the Sendai University, Japan, proposed -simultaneously with Arnold Sommerfeld, William Wilson and Niels Bohr in Europe -the phase-space-integral quantization, a rule that would be incorporated into the old-quantum-theory formalism. The discussions and analysis render this paper fully accessible to undergraduate students of physics with elementary knowledge of quantum mechanics.

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Section: Analysis a Precedentsmentioning

confidence: 91%

“…where H was the dynamical potential and for "the most part we shall view H as the mere abbreviation for T − V ", where T and V are the kinetic and potential energy, respectively [Hermann 1971]. Then, on 1913, were published the classic set of papers [Bohr 1913a, Bohr 1913b, Bohr 1913c] where Bohr presents his atomic model.…”

Section: Analysis a Precedentsmentioning

confidence: 99%

Analysis of the Jun Ishiwara’s “The universal meaning of the quantum of action”

Pelogia

Brasil

2017

EPJ H

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“…In 1900, when Planck became convinced that the useful information from the laws of thermodynamics had been exhausted, he turned to statistical mechanics to give a physical basis for his interpolation guess for the blackbody radiation spectrum. [2] Planck's use of statistical ideas led to the beginnings of quantum theory. It is striking that within a decade of Planck's work, Nernst's heat theorem associated with the low-temperature specific heats of solids gave the basis for what is now termed the third law of thermodynamics.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of the harmonic oscillator: derivation of the Planck blackbody spectrum from pure thermodynamics

Boyer

2019

Eur. J. Phys.

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In 1893, Wien applied the first two laws of thermodynamics to blackbody radiation and derived his displacement theorem. Believing that the information from thermodynamics had been exhausted, Planck turned to statistical ideas in 1900 in order to provide a physical understanding for his experimental-data-based interpolation giving the Planck spectrum without zero-point radiation. Here we point out that the third law of thermodynamics (which was developed in the early years of the 20th century) introduces additional thermodynamic information regarding thermal radiation. The Planck spectrum for thermal radiation can be derived from purely thermodynamic ideas applied to the classical simple harmonic oscillator, since every radiation mode takes a simple oscillator form. Thermodynamics alone implies the Planck spectrum including zero-point energy without any need for quantum theory or statistical ideas. It is pointed out that the inclusion of zero-point energy involves more natural thermodynamics than its exclusion.

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“…According to A. Hermann [37] , "Planck realized the radical consequences of his formula only much later, and for many years he made attempts to harmonize the quantum of action with classical theory. Planck did not believe that he made a complete break with the past.…”

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confidence: 99%

“…Wood in 1931 (see ref. [37] p. 23 for the full reproduction), Planck describes in detail the psychological aspects of his approach. "Briefly summarized, what I did can be described as simply an act of desperation.…”

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confidence: 99%

Maxwell electromagnetic theory, Planck's radiation law, and Bose—Einstein statistics

1996

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We give an example in which it is possible to understand quantum statistics using classical concepts. This is done by studying the interaction of charged matter oscillators with the thermal and zeropoint electromagnetic fields characteristic of quantum electrodynamics and classical stochastic electrodynamics. Planck's formula for the spectral distribution and the elements of energyhω are interpreted without resorting to discontinuities. We also show the aspects in which our model calculation complement other derivations of blackbody radiation spectrum without quantum assumptions.

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The Genesis of Quantum Theory (1899–1913)

Cited by 14 publications

References 0 publications

Analysis of the Jun Ishiwara’s “The universal meaning of the quantum of action”

Analysis of the Jun Ishiwara’s “The universal meaning of the quantum of action”

Thermodynamics of the harmonic oscillator: derivation of the Planck blackbody spectrum from pure thermodynamics

Maxwell electromagnetic theory, Planck's radiation law, and Bose—Einstein statistics

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