@article{PMFA_1999_44_4_a5,
author = {Majern{\'\i}k, Vladim{\'\i}r and Richterek, Luk\'a\v{s} and Vl\v{c}ek, Martin},
title = {Entropick\'e relace neur\v{c}itosti},
journal = {Pokroky matematiky, fyziky a astronomie},
pages = {315--334},
year = {1999},
volume = {44},
number = {4},
language = {cs},
url = {http://geodesic.mathdoc.fr/item/PMFA_1999_44_4_a5/}
}
Majerník, Vladimír; Richterek, Lukáš; Vlček, Martin. Entropické relace neurčitosti. Pokroky matematiky, fyziky a astronomie, Tome 44 (1999) no. 4, pp. 315-334. http://geodesic.mathdoc.fr/item/PMFA_1999_44_4_a5/
[1] Busch, P., Pekka, J. L.: Minimal Uncertainty and Maximal Information for Quantum Position and Momentum. J. Phys. A 20 (1987), 899–901. | MR
[2] Bužek, V., Keitel, C. H., Knight, P. L.: Sampling entropies and operational phase-space measurement. Phys. Rev. A 51 (1995), 2575.
[3] Davydov, A. S.: Kvantová mechanika. SPN, Praha 1978, s. 47.
[4] Doughty, M., Gardner, W. R.: Pitch Characteristic of Short Tones. Part I and II. J. Exp. Psychol. 37 (1947), 351–372, a 38 (1948), 478–491.
[5] Evans, A. B.: Uncertainty Principle and Uncertainty Relations: Extension of a Result of Uffink and Hilgevoord. Found. Phys. 3 (1990), 389–396.
[6] Everett, H.: The Many-Worlds Interpretation of Quantum Mechanics. Princeton University Press, Princeton 1973.
[7] Feller, W.: An Introduction to Probability Theory and its Applications. Vol. I, Wiley, New York 1968. | MR | Zbl
[8] Finkel, R. W.: Generalized Uncertainty Relations. Phys. Rev. A 35 (1987), 1488. | MR
[9] Gabor, D.: Theory of communication. J. Inst. Eng. 93 (1946), 429–434.
[10] Gonzáles, A. R., Vaccaro, J. A., Barnett, S. M.: Entropic Uncertainty Relations for Canonically Conjugate Operators. Phys. Letts. A 205 (1995), 247–254. | MR
[11] Guiasu, S.: Information Theory with Applications. McGraw-Hill, New York 1977. | MR | Zbl
[12] Halliwell, J. J.: Quantum-mechanical Histories and the Uncertainty Principle: Information-theoretical inequalities. Phys. Rev. D 49 (1993), 2739–2745. | MR
[13] Hartley, R. V.: Transmission of information. The Bell Syst. Techn. J. 7 (1928), 535–563.
[14] Heisenberg, W.: Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik. Z. Phys. 43 (1927), 172.
[15] Ishaki, T.: Four Mathematical Expressions of the Uncertainty Relation. Found. Phys. 21 (1991), 1089–1105. | MR
[16] Jaynes, E. T.: Phys. Rev. 106 (1957), 620, a Phys. Rev. 108 (1957). | MR | Zbl
[17] Kolgomoroff, A. N.: Theorie der Nachrichtungsübertragung. D. Verlag d. Wiss., Belin 1957.
[18] Küpfmüller, K.: Über Einschingvorgänge in Wellenfiltern. Elektr. Nachrichtentech. 1 (1924), 123–141.
[19] Landau, L. D., Lifšic, J. M.: Kvantová mechanika. ALFA, Bratislava 1982, 12.
[20] Maasen, H., Uffink, J. B. M.: Generalized Entropic Uncertainty Relations. Phys. Rev. Lett. 60 (1988), 1103–1104. | MR
[21] Majerník, V., Kalužný, J.: On the Auditory Uncertainty Relations. Acustica 43 (1979), 172–187.
[22] Majerník, V., Mamojka, B.: Non-standard Measures for Uncertainty and Organization. Phys. Scr. 44 (1991), 412–425.
[23] Majerník, V., Opatrný, T.: Entropic Uncertainty Relations for quantum Oscillator. J. Phys. A (1996), 2187. | MR
[24] Mamojka, B.: Entropická formulácia relácií neurčitosti. (Doktorská disertační práce.) UK Bratislava 1971.
[25] Mamojka, B.: Entropic Formulation of Uncertainty Relations. Intern. J. Theor. Phys. 11 (1974), 73. | MR
[26] Pišút, J., Gomolčák, L.: Úvod do kvantovej mechaniky. ALFA, Bratislava 1975.
[27] Price, W. C., Chissick, S. S.: The Uncertainty Principle and Foundations of Quantum Mechanics. Wiley, New York 1977.
[28] Pulmannova, S., Dvurecemskij, A.: Uncertainty Principle and Joint Distributions of Observables. Ann. Inst. Henri Poincaré 42 (1985), 253–265. | MR
[29] Rényi, A: On the Measures of Entropy and Information. Proc. 4th Berkeley Symp. Math. Stat. and Probability 1 (1961), 547. | MR
[30] Sánches-Ruiz, J.: Maassen-Uffink Entropic Uncertainty Relation for Angular Momentum Observables. Phys. Letts. A 181 (1993), 193–199. | MR
[31] Sánches-Ruiz, J.: Position-momentum entropic uncertainty relation and complementary in single-slit and double-slit experiments. Phys. Rev. A 57 (1998), 1519.
[32] Shannon, C. E.: A Mathematical Theory of Communication. Bell Syst. Techn. J. 27 (1948), 629–653. | MR | Zbl
[33] Srinivas, M. D.: Entropic Formulations of Uncertainty Relations. Pramana (Indian J. Phys.) 25 (1985), 369–377, a 24 (1985), 673.
[34] Uffink, J. B. M., Hilgevoord, J.: Uncertainty Principle and Uncertainty Relations. Found. Phys. 15 (1985), 925–944. | MR
[35] Vallée, M. R.: Aspects informationnels de certaines relations d’incertitude. C. R. Acad. Sc. Parris 233 (1951), 1580–1581.
[36] Yanes, R. J., Assche, W. van, Dehesa, J. D.: Position and Momentum Information Entropies of the D-dimensional Harmonic Oscillator and Hydrogen Atom. Phys. Rev. A 50 (1994), 3065–3067, a J. Math. Phys. 35 (1994), 4423.