De Broglie’s thesis: A critical retrospective

MacKinnon, Edward

doi:10.1119/1.10583

Cited by 37 publications

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“…(1). The validity of that equation was later on confirmed by Davisson and Germer in their famous diffraction experiment of electrons on a nickel crystal.…”

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confidence: 85%

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The principle of relativity and the de Broglie relation

Güémez

Fiolhais

Fernández

2016

American Journal of Physics

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The De Broglie relation is revisited in connection with an ab initio relativistic description of particles and waves, which was the same treatment that historically led to that famous relation. In the same context of the Minkowski four-vectors formalism, we also discuss the phase and the group velocity of a matter wave, explicitly showing that, under a Lorentz transformation, both transform as ordinary velocities. We show that such a transformation rule is a necessary condition for the covariance of the De Broglie relation, and stress the pedagogical value of the Einstein-Minkowski-Lorentz relativistic context in the presentation of the De Broglie relation.

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“…(1). The validity of that equation was later on confirmed by Davisson and Germer in their famous diffraction experiment of electrons on a nickel crystal.…”

mentioning

confidence: 85%

“…The motivation for this paper is to emphasize the advantage of discussing the De Broglie relation in the framework of special relativity, formulated with Minkowski's four-vectors, as actually was done by De Broglie himself. 1 The De Broglie relation, usually written as…”

Section: Introductionmentioning

confidence: 99%

The principle of relativity and the de Broglie relation

Güémez

Fiolhais

Fernández

2016

American Journal of Physics

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“…He equated particle intrinsic mass where time has no relevance to a radiation wave of energy hf where time is all-important; this did not make much sense. 9 De Broglie's 1924 thesis constitutes a "…barrage of novel ideas and confusing developments … [12]." Textbooks and historians of physics rightly laud de Broglie for opening the way to a true quantum theory.…”

Section: De Broglie Radiationmentioning

confidence: 99%

“…In fact each electron has a KE entity whose oscillation has become resonant with others. 12 Two electrons without KE would never bond; they would simply repel each other. The electron is a mixed entity of energy and mass.…”

Section: Iid De Broglie Wave Bindingmentioning

confidence: 99%

The Mach-Zehnder interferometer and photon dualism

Klevgard

2020

Light in Nature VIII

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The Mach-Zehnder Interferometer (MZI) is used to illustrate the long-standing wave-particle duality problem. How can the photon divide at the first beam splitter and yet terminate on either arm with its undiminished energy? Why is which-way (welcher weg) information incompatible with wave interference? How do we explain Wheeler's delayed choice experiment? The position adopted is that the photon has two identities, one supporting particle features and the other wave features. There is photon kinetic energy that never splits (on half-silvered mirrors) or diffracts (in pinholes or slits). Then there is photon probability waves that do diffract and can reinforce or cancel. Interpretations of these two identities are suggested.

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“…Thus, Bose-Einstein (quantum) statistics become essentially identical with Maxwell-Boltzmann (ideal-gas) statistics as temperature is increased and assumes a condensation (degeneration) of distinguishable particles (parcels) of energy into distinguishable clusters (cells) of indistinguishable particles of energy as temperature is decreased [9]. Also, de Broglie's fundamental ideas on wave-particle duality, which, in conjunction with Bose-Einstein statistics led Schrödinger immediately to his wave mechanics [30], originated with the realization that derivation of Planck's Law by considering light quanta to be an ideal gas of photons ("atoms of light") requires the assumption that blackbody radiation other than that at the extreme high-frequency end of the observable spectrum consists of agglomerations of photons that move coherently [31][32][33]. Since the frequency at the high-frequency end of the observable spectrum increases endlessly with increase of temperature, this assumption and the essentially identical one at the heart of Bose-Einstein statistics being correct, most if not all 'conventional photons' would be clusters of photons having the same frequency and we could imagine a rational explanation for the peculiar fact of quantum mechanics that what appear to be single photons can appear to split and interfere with themselves in a wave-like manner.…”

Section: Thermodynamics Of Liquids and Solidsmentioning

confidence: 99%

Inquiries into the Nature of Free Energy and Entropy in Respect to Biochemical Thermodynamics

Stoner

2000

Entropy

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Free energy and entropy are examined in detail from the standpoint of classical thermodynamics. The approach is logically based on the fact that thermodynamic work is mediated by thermal energy through the tendency for nonthermal energy to convert spontaneously into thermal energy and for thermal energy to distribute spontaneously and uniformly within the accessible space. The fact that free energy is a Second-Law, expendable energy that makes it possible for thermodynamic work to be done at finite rates is emphasized. Entropy, as originally defined, is pointed out to be the capacity factor for thermal energy that is hidden with respect to temperature; it serves to evaluate the practical quality of thermal energy and to account for changes in the amounts of latent thermal energies in systems maintained at constant temperature. With entropy thus operationally defined, it is possible to see that T∆S° of the Gibbs standard free energy relation ∆G° = ∆H° − T∆S° serves to account for differences or changes in nonthermal energies that do not contribute to ∆G° and that, since ∆H° serves to account for differences or changes in total energy, complete enthalpy-entropy (∆H°-T∆S°) compensation must invariably occur in isothermal processes for which T∆S° is finite. A major objective was to clarify the means by which free energy is transferred and conserved in sequences of biological reactions coupled by freely diffusible intermediates. In achieving this objective it was found necessary to distinguish between a 'characteristic free energy' possessed by all First-Law energies in amounts equivalent to the amounts of the energies themselves and a 'free energy of concentration' that is intrinsically mechanical and relatively elusive in that it can appear to be free of First-Law energy. The findings in this regard serve to clarify the fact that the transfer of chemical potential energy from one repository to another along sequences of biological reactions of the above sort occurs through transfer of the First-Law energy as thermal energy and transfer of the SecondLaw energy as free energy of concentration.

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De Broglie’s thesis: A critical retrospective

Abstract: De Broglie's relativistic phase waves and wave groups Am.

Cited by 37 publications

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The principle of relativity and the de Broglie relation

The principle of relativity and the de Broglie relation

The Mach-Zehnder interferometer and photon dualism

Inquiries into the Nature of Free Energy and Entropy in Respect to Biochemical Thermodynamics

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