Bohr: The Quantum Postulate and the Recent Development of Atomic Theory. Heisenberg: Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik. (Cambridge: Cambridge University Press 1922). Bohr: The Theory of Spectra and Atomic Constitution. Der Kongelige Danske Videnskabernes Selskab, Mathematisk-fysiske Meddelser 8/3/3 (1919), 284–388. Einstein: Zur Quantentheorie der Strahlung. Ehrenfest: Adiabatische Invarianten und Quantentheorie. Amsterdam: North-Holland (Elsevier) 2, 161–233. Bohr: On the Constitution of Atoms and Molecules (1913). This process is experimental and the keywords may be updated as the learning algorithm improves. These keywords were added by machine and not by the authors. After the rise of quantum mechanics, he justified his ► complementarity view of quantum mechanics in terms of the correspondence between mutually exclusive quantum phenomena on the one hand and the classical concepts of wave or particle ( particle picture, wave picture) (► Franck-Hertz experiment Davisson-Germer experiment Stern-Gerlach experiment Schrodinger equation) on the other hand. Before the rise of quantum mechanics (i.e., in “old” quantum theory), Bohr employed the principle in order to establish inter-theoretical relations between the classical theory of radiation and the quantum theory of atomic spectra. ![]() The principle emerged from his use of classical concepts and formal analogies in ► Bohr's atomic model of 1913. According to Bohr, the principle justifies the use of formal classical expressions in quantum theory and a physical interpretation of quantum theory in terms of classical concepts. Batterman argues that the interpretation of the correspondence principle which he advocates has historical support which can be found in Niels Bohr's early writing on the quantum theory.The correspondence principle is due to Niels Bohr (1885–1962). The correspondence principle, when properly interpreted already supplies a unified account of chaos-for both classical and quantum mechanics. Batterman argues that a proper understanding of the correspondence principle resolves the problem of defining quantum chaos. Batterman argues that this definition is to be resisted, since to a certain degree it divorces the issue of chaos from the dynamics. The virtue of this view is that it seems to be "theory neutral." On this definition, quantum mechanics is completely inhospitable to chaos. One approach to a quantum definition for chaos is to adopt an algorithmic complexity definition. While there is at least some consensus on how to define chaos in classical physics,the question of a definition for chaos in quantum mechanics is completely open. ![]() One question he is asking is that of a definition of chaos for quantum systems. ![]() Batterman is investigating the connections between classical and quantum mechanics,in light of the fact that classical systems appear to allow generic chaotic behavior while quantum systems do not. Primary Place of Performance Congressional District:ĭr. University of Illinois at Urbana-Champaign Robert Batterman (Principal Investigator) Sponsored Research Office:.Overmann DBI Div Of Biological Infrastructure BIO Direct For Biological Sciences Chaos, Quantization and the Correspondence Principle NSF Org:
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