Nonstandard analysis and physics


CUP - Cambridge University Press

IJTP - International Journal of Theoretical Physics

NSA - Nonstandard analysis

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Albeverio S (1984) NSA; polymer models, quantum fields. Acta Phys. Austriaca, Suppl. XXVI pp 233-254

Albeverio S (1987) An intro. to NSA and applications to quantum theory; in Information complexity and control in quantum physics (eds Blaquiere A, Diner S and Lochak G) Springer, Vienna pp 183-208

Albeverio S (1988) Applications of NSA in math. phys.; in NSA and its applications. Cutland N ed CUP

Arkeryd L (1981) A nonstandard approach to the Boltzmann eqn. Arch. Rational Mech. Anal. 77 pp 1-10

Arkeryd L (1984) Loeb solutions of the Boltzmann eqn. Arch. Rational Mech. Anal. 86 85-97

Arkeryd L (1988) The non-linear Boltzmann equation far from equilibrium; in NSA and its applications. Cutland N ed CUP

Bagarello F and Valenti S (1988) NSA in classical physics and quantum formal scattering. IJTP 27 #5 pp 557-566

Callot J (1983) Stroboscopie infinitesimale; in Outils et modeles mathematiques pour l'automatique, l'analyse des systemes et le traitement du signal. CNRS 3

Capinski M and Cutland N (1995) Nonstandard Methods for Stochastic Fluid Mechanics. Singapore: World Scientific. 248 pp. ISBN 981-02-1710-2, 44 pounds in UK.

Filtler R (1984) Some nonstandard quantum electrodynamics. Helv. Phys. Acta 57 pp 579-609

Harthong J (1981) Le moire. Adv. Appl. Math. 2 pp 24-75

Helms L and Loeb P (1979) Applications of NSA to spin models. J. of Math. Analysis and Applications. 69 pp 341-352

Herrmann, Robert A. (1989) Fractals and ultrasmooth microeffects, J. Math Physics 30(4): pp 805-808

Hurd A (1981) Nonstandard analysis and lattice statistical mechanics: a variational principle. Trans. AMS 263

Keleman P and Robinson A (1972) The nonstandard \phi^4_2 (x) - model I. The technique of NSA in math. physics I and II. J. Math. Phys. 13 pp 1870-1874 and 1875-1878

Li Banghe and Li Yaqing (1985) NSA and multiplication of distributions in any dimension. Scientica Sinica (ser A) 27 pp 716-726

Li Banghe (1986) On the moire problem from the distribution point of view. J. Sys. Sci. and Math. Sci. 6 pp 263-268

Lindstrom T (1986) Nonstandard energy forms and diffusions on manifolds and fractals; in Stochastic processes in classical and quantum systems (Albeverio S et al eds) Lecture notes in Phys. 262 pp 363-380 Springer-Verlag

Nobis K (1984) On the application of NSA in mechanics of porous media. Bull. Pol. Acad. Sci. Tech. Sci. 32 pp 383-387

Nobis K, Wierzbicki W and Wozniak C (1984) On the physical integration of nonstandard methods in mechanics. Bull. Pol. Acad. Sci. Tech. Sci. 32 pp 379-382

Nottale L and Schneider J (1984) Fractals and NSA. J. Math. Phys. 25 pp 1296-1300

Ostebee A, Gambardella P and Dresden M (1976) A "nonstandard" approach to the thermodynamic limit II Weakly tempered potentials and neutral Coulomb systems. J. Math. Phys. 17

Tarski J (1976) Short intro. to NSA and its physical applications. In Qunatum Dynamics (ed Streit L) Springer, Vienna, 225-239

Todorov T (1985) Application of nonstandard Hilbert space to quantum mechanics. Proc. IIIrd Int. Conf. Complex Anal. Varna

Wozniak C (1981) On the NSA and the interrelation between mechanics of mass-point systems and continuum mechanics. Mech. Teor. Stosow. 19 pp 511-525