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Fractals and quantum mechanics

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2000
A new application of a fractal concept to quantum physics has been developed. The fractional path integrals over the paths of the Lévy flights are defined. It is shown that if fractality of the Brownian trajectories leads to standard quantum mechanics, then the fractality of the Lévy paths leads to fractional quantum mechanics.
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Discrete quantum mechanics

Journal of Mathematical Physics, 1986
A discrete model for quantum mechanics is presented. First a discrete phase space S is formed by coupling vertices and edges of a graph. The dynamics is developed by introducing paths or discrete trajectories in S. An amplitude function is used to compute probabilities of quantum events and a discrete Feynman path integral is presented.
openaire   +3 more sources

Quantum Mechanical Considerations

1985
We have seen in the previous chapter that the classical electromagnetic theory is quite capable of explaining the essentials of the magnetic properties of materials. Some discrepancies between theory and experiment have come to light, however, which need to be explained.
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Quantum mechanics

Nuclear Physics, 1958
openaire   +1 more source

Quantum Mechanics – II

2010
These matrices are both Hermetian and unitary. Further, any two Pauli matrices anticommute.
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Quantum Mechanics

1990
Dietrich Stauffer, H. Eugene Stanley
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Quantum Mechanics

1977
Cohen-Tannoudji, Claude   +2 more
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The Mechanics of Quantum Mechanics

2008
Jacob J. Leventhal, Charles E. Burkhardt
openaire   +2 more sources

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