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Titolo: NONLIPSCHITZ APPROACH TO QUANTUMMECHANICS
Autore: ZAK M;
 Indirizzi:
 CALTECH,JET PROP LAB,CTR SPACE MICROELECT TECHNOL,4800 OAK GROVE DR PASADENA CA 91109
 Titolo Testata:
 Chaos, solitons and fractals
fascicolo: 7,
volume: 9,
anno: 1998,
pagine: 1183  1198
 SICI:
 09600779(1998)9:7<1183:NATQ>2.0.ZU;2O
 Fonte:
 ISI
 Lingua:
 ENG
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 CompuMath Citation Index
 CompuMath Citation Index
 Science Citation Index Expanded
 Science Citation Index Expanded
 Science Citation Index Expanded
 Citazioni:
 9
 Recensione:
 Indirizzi per estratti:



 Citazione:
 M. Zak, "NONLIPSCHITZ APPROACH TO QUANTUMMECHANICS", Chaos, solitons and fractals, 9(7), 1998, pp. 11831198
Abstract
An attempt to reconcile quantum mechanics with Newton's laws represented by the nonLipschitz formalism has been made. As a proofofconcept, a line of equally spaced atoms was studied. It appeared that enforcement of atom incompressibility required relaxation of the Lipschitz condition at the points of contact. This, in turn, led to fractional powers and discreteness of values of the basic parameters including energy and action, and finally, to the uncertainty relationship between positions and velocities. In addition to that, the relaxation of the Lipschitz condition caused instability of velocity with respect to small changes of the atom position, and that introduced an element of randomness in the system behavior. It was shown that the only model for the probability evolution which incorporates all the new properties of themotions is the Schrodinger equation. This means that quantum mechanics can be derived from Newton's laws if an unnecessary mathematical restrictionthe Lipschitz conditionis removed from the mathematical formalism. Nonlocal properties of the model, as well as spineffects and relativistic corrections are discussed. (C) 1998 Elsevier Science Ltd. All rights reserved.
ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 09/08/20 alle ore 23:33:13