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Physica A
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Phys. Lett. A
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O'Connell, R.F.1
Wigner, E.P.2
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0003425303
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Cf., for example, with expressions (3.60a,b,c), p. 163, (Prentice Hall, New Jersey)
-
Cf., for example, with expressions (3.60a,b,c), p. 163, in R. L. Liboff, Kinetic Theory: Classical, Quantum, and Relativistic Descriptions (Prentice Hall, New Jersey, 1990), pp. 152-163.
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Liboff, R.L.1
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0003496256
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(Dover, New York), translated from the Russian by G. Gamow (we changed slightly Khinchin's notation to fit our own)
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A. I. Kinchin, Mathematical Foundations of Statistical Mechanics (Dover, New York, 1949) pp. 84, 85, translated from the Russian by G. Gamow (we changed slightly Khinchin's notation to fit our own).
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Kinchin, A.I.1
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0004203380
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(Addison-Wesley, New York), (where the restricted case we are considering is better explained)
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P. L. Meyer, Introductory Probability and Statistical Applications (Addison-Wesley, New York, 1965), p. 270ff (where the restricted case we are considering is better explained).
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Introductory Probability and Statistical Applications
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Meyer, P.L.1
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3142686813
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in Oeuvres de Paul Levy (Ecole Polytechnique, France)
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P. Levy, Théorie des erreurs. La loi de Gauss et les lois exceptionelles. in Oeuvres de Paul Levy (Ecole Polytechnique, France, 1976), pp. 14-49 P. Levy shows in his own derivation that it is not necessary to make the hypothesis that the characteristic function may be decomposable into a Taylor series; indeed, his derivation is much more general than the one presented by us here. However, the present derivation has the advantage of being known to the great majority of physicists, since it is part of usual statistical mechanics' manuals.
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(1976)
Théorie des Erreurs. La Loi de Gauss et les Lois Exceptionelles
, pp. 14-49
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Levy, P.1
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27
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85139747524
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note
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δx = 0 = 0, but this restriction is not necessary.
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0041319340
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L. E. Ballentine, Rev. Mod. Phys. 42, 358 (1970). W. Heisenberg, "The development of the interpretation of the quantum theory," in Niels Bohr and the Development of Physics. W. Pauli, ed. (McGraw-Hill, New York, 1955), p. 12. T. Brody, The Philosophy behind Physics (Springer, Berlin, 1993). A. Landé, From Dualism to Unity in Quantum Mechanics (Cambridge University Press, Cambridge, 1960), and many others (cf. the references in Ballentine's paper, for instance).
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The Philosophy behind Physics
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