ELFT HÍRADÓ

[Zimányiné Horváth Vera <Vera.Horvath AT eli-alps.hu>]

Előadó:                                Varró Sándor (ELI ALPS, Szeged)
Cím:                                      Heisenberg's reinterpretation of 
motion 100 years ago. From the Kramers-Heisenberg dispersion formula to the 
discovery of quantum mechanics

Kezdés időpontja:           2025. január 31., 9 óra
Helyszín:                             az ELI ALPS konferenciaterme (Szeged, 
Wolfgang Sandner utca 3.)


Absztrakt:
Hundred years ago Werner Heisenberg published the very first paper of modern 
quantum theory [1], formulating the basics of "matrix mechanics" [2, 2a]. It 
is very remarkable that earlier, in that same year 1925 (but before the 
invention of matrix mechanics), Heisenberg together with H. A. Kramers 
derived the correct (quantum mechanical) dispersion formula of light 
scattering by atoms, by using classical considerations and the correspondence 
principle [1a]. In the present talk first we attempt to keep track of the 
development of quantum theory around the time of this discovery. As is 
well-know, in quantum mechanics even the kinematics of the motion of a 
microparticle is reinterpreted, so that the position and momentum (velocity) 
are described by non-commuting quantities, which is in sharp contrast with 
our classical concept of motion. The transition from micro- to macromechanics 
has been discussed by Heisenberg, partly in terms of his "uncertainty 
relation" [3], which we will also deal with. Finally we shall talk about the 
famous "Drei Männer Arbeit" (three men's work) of Born, Heisenberg and Jordan 
[2], submitted also in the year 1925, which - besides giving solutions to 
several fundamental problems constituting today basic parts of any standard 
texts on quantum mechanics - published a first preliminary version of field 
quantization [2], or in other words, the quantization of a continuous 
dynamical system. As an application of the new formalism, they derived 
Einstein's fluctuation formula expressing the "wave-paritcle duality" for 
radiation [4]. This result is a basis e.g. of the so-called Hanbury Brown and 
Twiss type correlations.
[1] Heisenberg W, Über quantentheoretische Umdeutung kinematischer und 
mechanischer Beziehungen. Zeitschr. für Physik 33 , 879-892 (1925). [1a] 
Kramers H A und Heisenberg W, Über die Streuung von Strahlung durch Atome. 
Zeitschr. für Physik 31, 681-708 (1925).
[2] Born M, Heisenberg W und Jordan P, Zur Quantenmechanik. II. Zeitschr. für 
Physik 35, 557-615 (1926). [2a] Born M und Jordan P, Zur Quantenmechanik. 
Ibid. 34 , 858-888 (1925).
[3] Heisenberg W, Über den anschaulichen Inhalt der quantentheoretischen 
Kinematik und Mechanik. Zeitschr. für Physik 43, 172-198 (1927).
[4] Varró S : Einstein's fluctuation formula. A historical overview. 
Fluctuation and Noise Letters, 6 , No.2, R11-R46 (2006). E-print: http:// 
arxiv.org : quant-ph/0611023.

A szeminárium angol nyelvű. Minden érdeklődőt szívesen látunk, de az előadás 
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Vera HORVÁTH (Ms)
Head of Science Outreach Centre
Tel: +36 70 491 14 12
Email: vera.horvath AT eli-alps.hu<mailto:vera.horvath AT eli-alps.hu>

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