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Chaos and Possible Underpinnings for Quantum Mechanics Wm. C. McHarris Department of Chemistry and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA Reprint requests to Prof. W. C. McH.; E-mail: Z. Naturforsch. 56a, 208-211 (2001); received February 15, 2001 Presented at the 3rd Workshop on Mysteries, Puzzles and Paradoxes in Quantum Mechanics, Gargnano, Italy, September 17-23, 2000 Deterministic chaos with its nonlinearities can formally reproduce some of the counterintuitive idio­ syncrasies of

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(Springer, Berlin, 1982) [7] D. C. Brody, L. P. Hughston, J. Geom. Phys. 38, 19 (2001) [8] D. Chruscinski, A. Jamiołkowski, Geometric Phases in Classical and Quantum Mechanics (Birkhauser, Boston, 2004) [9] R. Cirelli, M. Gatti, A. Manià, J. Geom. Phys. 45, 267 (2003) [10] R. Cirelli, A. Mania, L. Pizzocchero, J. Math. Phys. 31, 2891 (1990) [11] R. Cirelli, L. Pizzocchero, Nonlinearity 3, 1057 (1990)

Alexander Iomin Fractional time quantum mechanics Abstract: An overview of quantum mechanics with fractional time derivatives is pre- sented. Examples of physically relevant time fractional Schrödinger equations (FSE) are considered. A correct form of the FSE is discussed and its justification based on the correct form of analytic continuation of time is suggested. Keywords:Caputo fractional derivative, Riemann–Liouville fractional derivative, frac- tional Schrödinger equation, fractional Fokker–Planck equation, analytic continua- tion of time, quantum comb model

References Aristotle. Categories. Aristotle. Metaphysics. Athearn, Daniel. “Physics and Whitehead: An Alternative Approach.” Process Studies, 40:1 (2011), 80-90. Bagci, G. B. “Ghirardi-Rimini-Weber Collapse Theory and Whiteheadian Process Philosophy.” Process Studies, 38:2 (2009), 368-393. Bansal, Deepak. “Whitehead’s Cosmology-Process Relational Perspective to Relativity and Quantum Mechanics.” Cosmos & History, 14:1 (2018), 27-39. Bohm, David J. “A New Theory of the Relationship of Mind and Matter.” Journal of the American Society of Psychical Research, 80

Is Relativistic Quantum Mechanics Compatible with Special Relativity? B. H. Lavenda Universita di Camerino, 1-62032 Camerino (MC) Reprint requests to Prof. B. H. L.; E-mail: Z. Naturforsch. 56 a, 347-365 (2001); received February 14, 2001 The transformation from a time-dependent random walk to quantum mechanics converts a modi­ fied Bessel function into an ordinary one together with a phase factor e,ir/2 for each time the electron flips both direction and handedness. Causality requires the argument to be greater than the order of the