Enthropic uncertainty relations
Vladimír Majerník; Lukáš Richterek; Martin Vlček
Pokroky matematiky, fyziky a astronomie (1999)
- Volume: 44, Issue: 4, page 315-334
- ISSN: 0032-2423
Access Full Article
topHow to cite
topMajerník, Vladimír, Richterek, Lukáš, and Vlček, Martin. "Entropické relace neurčitosti." Pokroky matematiky, fyziky a astronomie 44.4 (1999): 315-334. <http://eudml.org/doc/197046>.
@article{Majerník1999,
author = {Majerník, Vladimír, Richterek, Lukáš, Vlček, Martin},
journal = {Pokroky matematiky, fyziky a astronomie},
language = {cze},
number = {4},
pages = {315-334},
publisher = {Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists},
title = {Entropické relace neurčitosti},
url = {http://eudml.org/doc/197046},
volume = {44},
year = {1999},
}
TY - JOUR
AU - Majerník, Vladimír
AU - Richterek, Lukáš
AU - Vlček, Martin
TI - Entropické relace neurčitosti
JO - Pokroky matematiky, fyziky a astronomie
PY - 1999
PB - Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists
VL - 44
IS - 4
SP - 315
EP - 334
LA - cze
UR - http://eudml.org/doc/197046
ER -
References
top- Busch, P., Pekka, J. L., Minimal Uncertainty and Maximal Information for Quantum Position and Momentum, J. Phys. A 20 (1987), 899–901. (1987) MR0887622
- Bužek, V., Keitel, C. H., Knight, P. L., Sampling entropies and operational phase-space measurement, Phys. Rev. A 51 (1995), 2575. (1995)
- Davydov, A. S., Kvantová mechanika, SPN, Praha 1978, s. 47. (1978)
- 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. (1947)
- Evans, A. B., Uncertainty Principle and Uncertainty Relations: Extension of a Result of Uffink and Hilgevoord, Found. Phys. 3 (1990), 389–396. (1990)
- Everett, H., The Many-Worlds Interpretation of Quantum Mechanics, Princeton University Press, Princeton 1973. (1973)
- Feller, W., An Introduction to Probability Theory and its Applications, Vol. I, Wiley, New York 1968. (1968) Zbl0155.23101MR0228020
- Finkel, R. W., Generalized Uncertainty Relations, Phys. Rev. A 35 (1987), 1488. (1987) MR0879244
- Gabor, D., Theory of communication, J. Inst. Eng. 93 (1946), 429–434. (1946)
- Gonzáles, A. R., Vaccaro, J. A., Barnett, S. M., Entropic Uncertainty Relations for Canonically Conjugate Operators, Phys. Letts. A 205 (1995), 247–254. (1995) Zbl1020.81989MR1352435
- Guiasu, S., Information Theory with Applications, McGraw-Hill, New York 1977. (1977) Zbl0379.94027MR0504352
- Halliwell, J. J., Quantum-mechanical Histories and the Uncertainty Principle: Information-theoretical inequalities, Phys. Rev. D 49 (1993), 2739–2745. (1993) MR1236653
- Hartley, R. V., Transmission of information, The Bell Syst. Techn. J. 7 (1928), 535–563. (1928)
- Heisenberg, W., Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik, Z. Phys. 43 (1927), 172. (1927)
- Ishaki, T., Four Mathematical Expressions of the Uncertainty Relation, Found. Phys. 21 (1991), 1089–1105. (1991) MR1128200
- Jaynes, E. T., [unknown], Phys. Rev. 106 (1957), 620, a Phys. Rev. 108 (1957). (1957) Zbl0084.43701MR0087305
- Kolgomoroff, A. N., Theorie der Nachrichtungsübertragung, D. Verlag d. Wiss., Belin 1957. (1957)
- Küpfmüller, K., Über Einschingvorgänge in Wellenfiltern, Elektr. Nachrichtentech. 1 (1924), 123–141. (1924)
- Landau, L. D., Lifšic, J. M., Kvantová mechanika, ALFA, Bratislava 1982, 12. (1982)
- Maasen, H., Uffink, J. B. M., Generalized Entropic Uncertainty Relations, Phys. Rev. Lett. 60 (1988), 1103–1104. (1988) MR0932170
- Majerník, V., Kalužný, J., On the Auditory Uncertainty Relations, Acustica 43 (1979), 172–187. (1979) Zbl0421.76054
- Majerník, V., Mamojka, B., Non-standard Measures for Uncertainty and Organization, Phys. Scr. 44 (1991), 412–425. (1991)
- Majerník, V., Opatrný, T., Entropic Uncertainty Relations for quantum Oscillator, J. Phys. A (1996), 2187. (1996) Zbl0901.60080MR1396429
- Mamojka, B., Entropická formulácia relácií neurčitosti, (Doktorská disertační práce.) UK Bratislava 1971. (1971)
- Mamojka, B., Entropic Formulation of Uncertainty Relations, Intern. J. Theor. Phys. 11 (1974), 73. (1974) MR0421494
- Pišút, J., Gomolčák, L., Úvod do kvantovej mechaniky, ALFA, Bratislava 1975. (1975)
- Price, W. C., Chissick, S. S., The Uncertainty Principle and Foundations of Quantum Mechanics, Wiley, New York 1977. (1977)
- Pulmannova, S., Dvurecemskij, A., Uncertainty Principle and Joint Distributions of Observables, Ann. Inst. Henri Poincaré 42 (1985), 253–265. (1985) MR0797275
- Rényi, A, On the Measures of Entropy and Information, Proc. 4th Berkeley Symp. Math. Stat. and Probability 1 (1961), 547. (1961) Zbl0106.33001MR0132570
- Sánches-Ruiz, J., Maassen-Uffink Entropic Uncertainty Relation for Angular Momentum Observables, Phys. Letts. A 181 (1993), 193–199. (1993) MR1241140
- Sánches-Ruiz, J., Position-momentum entropic uncertainty relation and complementary in single-slit and double-slit experiments, Phys. Rev. A 57 (1998), 1519. (1998)
- Shannon, C. E., A Mathematical Theory of Communication, Bell Syst. Techn. J. 27 (1948), 629–653. (1948) Zbl1154.94303MR0026286
- Srinivas, M. D., Entropic Formulations of Uncertainty Relations, Pramana (Indian J. Phys.) 25 (1985), 369–377, a 24 (1985), 673. (1985)
- Uffink, J. B. M., Hilgevoord, J., Uncertainty Principle and Uncertainty Relations, Found. Phys. 15 (1985), 925–944. (1985) Zbl0959.81502MR0824115
- Vallée, M. R., Aspects informationnels de certaines relations d’incertitude, C. R. Acad. Sc. Parris 233 (1951), 1580–1581. (1951)
- 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. (1994)
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.