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On certain infinite dimensional Cantor sets and the Schrödinger wave. (English) Zbl 0768.60099

Summary: The work discusses certain infinite-dimensional Cantor sets and their possible connections to the Schrödinger form of quantum mechanics.

MSC:

60K40 Other physical applications of random processes
81Q50 Quantum chaos
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[1] El Naschie, M. S., Complex dynamic in \(4D\) Peano-Hilbert space, Il Nuovo Cimento, 107B, 5, 583-594 (1992)
[2] Chaos, Solitons & Fractals, 2, 2, 211-220 (1992), see also · Zbl 0758.58012
[3] El Naschie, M. S., Physics-like mathematics in four dimensions. Implications for classical and quantum mechanics, (Ames, W.; van der Houwen, P., Computational and Applied Mathematics, II (1992), North Holland: North Holland Amsterdam), 15-23 · Zbl 0771.58042
[4] El Naschie, M. S., A note on Heisenberg’s uncertainty principle and Cantorian space-time, Chaos, Solitons & Fractals, 2, 4, 437-439 (1992) · Zbl 0771.58041
[5] Paris, G., Hausdorff dimensions and Gange theories, Phys Lett, 81B, 34, 357-360 (1979)
[6] Schiff, L., Quantum Mechanics (1968), McGraw-Hill: McGraw-Hill Auckland
[7] E, E. Schrödinger, Die gegenwaertige Situation in der Quantenmechanik, Die Naturwissenschaften, 23, 844-849 (1935) · JFM 61.0936.01
[8] Born, M., Zur Quantenmechanik der Stossvorgaenge, Z. Physik, 37, 863-867 (1926) · JFM 52.0973.03
[9] Ord, G. N., J. Phys. A: Math Gen, 16, 1869-1884 (1983)
[10] Nottale, L., Int. J. Mod. Phys., A4, a, 5047-5117 (1989)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.