Correspondence principle definition12/10/2023 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, 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. correspondence principle correspondence principle, physical principle, enunciated by Niels Bohr in 1923, according to which the predictions of the quantum theory must correspond to the predictions of the classical theories of physics when the quantum theory is used to describe the behavior of systems that can be successfully described by classical. 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. The simple statement that quantum mechanics reduces to classical mechanics in the limit where the principal quantum number n approaches infinity, while found in many textbooks, is not true in general. One approach to a quantum definition for chaos is to adopt an algorithmic complexity definition. The correspondence principle addresses the connection between classical and quantum physics. 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
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