Abstract
We discuss some lattice discretizations of the Klein-Gordon equation inspired by analogies with discrete kinetic theory.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Witten, E.: The ultimate fate of space-time, Physics Today, 49 (1996) 24–28.
t’Hooft, G.: A confrontation with infinity, Int. J. Mod. Phys. A, 15, (2000) 4395–4402
Creutz, M.: Quarks, gluons and lattices, Cambridge Univ. Press, 1983.
Friedberg, R. and Lee, T.D.: Discrete quantum mechanics, Nucl. Phys., B 225(FS9), (1983) 1–52.
Friedberg, R. and Lee, T.D.: Lattice gravity near the continuum limit, Nucl. Phys., 245(2), (1983) 343–368
Succi, S. and Benzi, R.: Lattice Boltzmann equation for quantum mechanics, Physica D, 69,3–4, (1993) 327–332.
Benzi, R., Succi, S. and Vergassola, M.: The lattice Boltzmann equation: theory and applications, Phys. Rep. 222(3), (1992) 145–201.
Chen, S., Doolen, G.: Lattice Boltzmann method for fluid flows, Ann. Rev. Fluid Mech., 30, (1998) 329–363.
Succi, S.: The Lattice Boltzmann equation, Oxford Univ. Press, 2001.
Succi, S.: Numerical solution of the Schroedinger equation using discrete kinetic theory, Phys. Rev. E, 53,2, (1996) 1969–1976.
Succi, S.: Lattice Boltzmann equation for relativistic quantum mechanics, Phil. Trans. Roy. Soc. A 360(1792) (2002) 429–436.
Christ, N., Friedberg, R. and Lee, T.D.: Gauge-theory on a random lattice, Nucl. Phys. B 210, (1982), 310–336 and Random lattice field-theory-general formulation, Nucl. Phys. B202, (1982) 89–125.
Regge, T.: General relativity without coordinates, Il Nuovo Cimento 19, (1961), 558–571.
Hasslacher, B., Meyer, D. A.: Modeling dynamical geometry with lattice-gas automata, Int. J. Mod. Phys. C, 9, (1998) 1597–1605
Karlin, I.V., Succi, S., Orszag, S.: Lattice Boltzmann method for irregular grids, Phys. Rev. Lett, 82, (1999) 5245–5248.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Succi, S. (2002). Kinetic Approach to Lattice Quantum Mechanics. In: Bandini, S., Chopard, B., Tomassini, M. (eds) Cellular Automata. ACRI 2002. Lecture Notes in Computer Science, vol 2493. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45830-1_11
Download citation
DOI: https://doi.org/10.1007/3-540-45830-1_11
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44304-9
Online ISBN: 978-3-540-45830-2
eBook Packages: Springer Book Archive