| Title:
|
Entropické relace neurčitosti (Czech) |
| Title:
|
Enthropic uncertainty relations (English) |
| Author:
|
Majerník, Vladimír |
| Author:
|
Richterek, Lukáš |
| Author:
|
Vlček, Martin |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
44 |
| Issue:
|
4 |
| Year:
|
1999 |
| Pages:
|
315-334 |
| . |
| Category:
|
physics |
| . |
| . |
| Date available:
|
2010-12-11T17:40:56Z |
| Last updated:
|
2012-08-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141010 |
| . |
| Reference:
|
[1] Busch, P., Pekka, J. L.: Minimal Uncertainty and Maximal Information for Quantum Position and Momentum.J. Phys. A 20 (1987), 899–901. MR 0887622 |
| Reference:
|
[2] Bužek, V., Keitel, C. H., Knight, P. L.: Sampling entropies and operational phase-space measurement.Phys. Rev. A 51 (1995), 2575. |
| Reference:
|
[3] Davydov, A. S.: Kvantová mechanika.SPN, Praha 1978, s. 47. |
| Reference:
|
[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. |
| Reference:
|
[5] Evans, A. B.: Uncertainty Principle and Uncertainty Relations: Extension of a Result of Uffink and Hilgevoord.Found. Phys. 3 (1990), 389–396. |
| Reference:
|
[6] Everett, H.: The Many-Worlds Interpretation of Quantum Mechanics.Princeton University Press, Princeton 1973. |
| Reference:
|
[7] Feller, W.: An Introduction to Probability Theory and its Applications.Vol. I, Wiley, New York 1968. Zbl 0155.23101, MR 0228020 |
| Reference:
|
[8] Finkel, R. W.: Generalized Uncertainty Relations.Phys. Rev. A 35 (1987), 1488. MR 0879244 |
| Reference:
|
[9] Gabor, D.: Theory of communication.J. Inst. Eng. 93 (1946), 429–434. |
| Reference:
|
[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 1352435 |
| Reference:
|
[11] Guiasu, S.: Information Theory with Applications.McGraw-Hill, New York 1977. Zbl 0379.94027, MR 0504352 |
| Reference:
|
[12] Halliwell, J. J.: Quantum-mechanical Histories and the Uncertainty Principle: Information-theoretical inequalities.Phys. Rev. D 49 (1993), 2739–2745. MR 1236653 |
| Reference:
|
[13] Hartley, R. V.: Transmission of information.The Bell Syst. Techn. J. 7 (1928), 535–563. |
| Reference:
|
[14] Heisenberg, W.: Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik.Z. Phys. 43 (1927), 172. |
| Reference:
|
[15] Ishaki, T.: Four Mathematical Expressions of the Uncertainty Relation.Found. Phys. 21 (1991), 1089–1105. MR 1128200 |
| Reference:
|
[16] Jaynes, E. T.: .Phys. Rev. 106 (1957), 620, a Phys. Rev. 108 (1957). Zbl 0084.43701, MR 0087305 |
| Reference:
|
[17] Kolgomoroff, A. N.: Theorie der Nachrichtungsübertragung.D. Verlag d. Wiss., Belin 1957. |
| Reference:
|
[18] Küpfmüller, K.: Über Einschingvorgänge in Wellenfiltern.Elektr. Nachrichtentech. 1 (1924), 123–141. |
| Reference:
|
[19] Landau, L. D., Lifšic, J. M.: Kvantová mechanika.ALFA, Bratislava 1982, 12. |
| Reference:
|
[20] Maasen, H., Uffink, J. B. M.: Generalized Entropic Uncertainty Relations.Phys. Rev. Lett. 60 (1988), 1103–1104. MR 0932170 |
| Reference:
|
[21] Majerník, V., Kalužný, J.: On the Auditory Uncertainty Relations.Acustica 43 (1979), 172–187. |
| Reference:
|
[22] Majerník, V., Mamojka, B.: Non-standard Measures for Uncertainty and Organization.Phys. Scr. 44 (1991), 412–425. |
| Reference:
|
[23] Majerník, V., Opatrný, T.: Entropic Uncertainty Relations for quantum Oscillator.J. Phys. A (1996), 2187. MR 1396429 |
| Reference:
|
[24] Mamojka, B.: Entropická formulácia relácií neurčitosti.(Doktorská disertační práce.) UK Bratislava 1971. |
| Reference:
|
[25] Mamojka, B.: Entropic Formulation of Uncertainty Relations.Intern. J. Theor. Phys. 11 (1974), 73. MR 0421494 |
| Reference:
|
[26] Pišút, J., Gomolčák, L.: Úvod do kvantovej mechaniky.ALFA, Bratislava 1975. |
| Reference:
|
[27] Price, W. C., Chissick, S. S.: The Uncertainty Principle and Foundations of Quantum Mechanics.Wiley, New York 1977. |
| Reference:
|
[28] Pulmannova, S., Dvurecemskij, A.: Uncertainty Principle and Joint Distributions of Observables.Ann. Inst. Henri Poincaré 42 (1985), 253–265. MR 0797275 |
| Reference:
|
[29] Rényi, A: On the Measures of Entropy and Information.Proc. 4th Berkeley Symp. Math. Stat. and Probability 1 (1961), 547. MR 0132570 |
| Reference:
|
[30] Sánches-Ruiz, J.: Maassen-Uffink Entropic Uncertainty Relation for Angular Momentum Observables.Phys. Letts. A 181 (1993), 193–199. MR 1241140 |
| Reference:
|
[31] Sánches-Ruiz, J.: Position-momentum entropic uncertainty relation and complementary in single-slit and double-slit experiments.Phys. Rev. A 57 (1998), 1519. |
| Reference:
|
[32] Shannon, C. E.: A Mathematical Theory of Communication.Bell Syst. Techn. J. 27 (1948), 629–653. Zbl 1154.94303, MR 0026286 |
| Reference:
|
[33] Srinivas, M. D.: Entropic Formulations of Uncertainty Relations.Pramana (Indian J. Phys.) 25 (1985), 369–377, a 24 (1985), 673. |
| Reference:
|
[34] Uffink, J. B. M., Hilgevoord, J.: Uncertainty Principle and Uncertainty Relations.Found. Phys. 15 (1985), 925–944. MR 0824115 |
| Reference:
|
[35] Vallée, M. R.: Aspects informationnels de certaines relations d’incertitude.C. R. Acad. Sc. Parris 233 (1951), 1580–1581. |
| Reference:
|
[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. |
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