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Volumn 45, Issue 22, 2012, Pages

The Shannon-entropy-based uncertainty relation for D-dimensional central potentials

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EID: 84861366835     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/45/22/225303     Document Type: Article
Times cited : (33)

References (28)
  • 1
    • 0009448302 scopus 로고
    • 10.1007/BF01397280 1434-6001
    • Heisenberg W 1927 Z. Phys. 43 172
    • (1927) Z. Phys. , vol.43 , Issue.3-4 , pp. 172
    • Heisenberg, W.1
  • 2
    • 0001044725 scopus 로고
    • 10.1007/BF01391200 1434-6001
    • Kennard E H 1927 Z. Phys. 44 326
    • (1927) Z. Phys. , vol.44 , Issue.4-5 , pp. 326
    • Kennard, E.H.1
  • 3
    • 0041317614 scopus 로고
    • More certainty about the uncertainty principle
    • 10.1088/0143-0807/6/3/007 0143-0807
    • Hilgevoord J and Uffink J B M 1985 More certainty about the uncertainty principle Eur. J. Phys. 6 165
    • (1985) Eur. J. Phys. , vol.6 , Issue.3 , pp. 165
    • Hilgevoord, J.1    Uffink, J.B.M.2
  • 4
    • 0001769714 scopus 로고    scopus 로고
    • Entropic uncertainty relations
    • 10.1088/0143-0807/18/2/005 0143-0807
    • Majernik V and Richterek L 1997 Entropic uncertainty relations Eur. J. Phys. 18 79
    • (1997) Eur. J. Phys. , vol.18 , Issue.2 , pp. 79
    • Majernik, V.1    Richterek, L.2
  • 5
    • 84861369214 scopus 로고
    • Uffink J B M 1990 Measures of uncertainty and the uncertainty principle PhD Thesis University of Utrecht, Utrecht, the Netherlands and see also references therein
    • (1990) PhD Thesis
    • Uffink, J.B.M.1
  • 9
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • 0005-8580
    • Shannon C E 1948 A mathematical theory of communication Bell Syst. Tech. J. 27 62356
    • (1948) Bell Syst. Tech. J. , vol.27 , pp. 623-656
    • Shannon, C.E.1
  • 10
    • 84972487936 scopus 로고
    • A note on the entropy of continuous distributions
    • 10.2996/kmj/1138844051 0023-2599
    • Hatori H 1958 A note on the entropy of continuous distributions Kodai Math. Semin. Rep. 10 172
    • (1958) Kodai Math. Semin. Rep. , vol.10 , Issue.4 , pp. 172
    • Hatori, H.1
  • 11
    • 54749100076 scopus 로고    scopus 로고
    • Axiomatic characterizations of information measures
    • 10.3390/e10030261 1099-4300
    • Csiszar I 2008 Axiomatic characterizations of information measures Entropy 10 261
    • (2008) Entropy , vol.10 , Issue.3 , pp. 261
    • Csiszar, I.1
  • 13
    • 0001542262 scopus 로고
    • A note on entropy
    • 10.2307/2372390 0002-9327
    • Hirschman I I 1957 A note on entropy Am. J. Math. 79 152
    • (1957) Am. J. Math. , vol.79 , Issue.1 , pp. 152
    • Hirschman, I.I.1
  • 14
    • 0000898117 scopus 로고
    • Inequalities in Fourier analysis
    • 10.2307/1970980 0003-486X
    • Beckner W 1975 Inequalities in Fourier analysis Ann. Math. 102 159
    • (1975) Ann. Math. , vol.102 , Issue.1 , pp. 159
    • Beckner, W.1
  • 15
    • 0000617016 scopus 로고
    • Uncertainty relations for information entropy in wave mechanics
    • 10.1007/BF01608825 0010-3616
    • Bialynicki-Birula I and Mycielski J 1975 Uncertainty relations for information entropy in wave mechanics Commun. Math. Phys. 44 129
    • (1975) Commun. Math. Phys. , vol.44 , Issue.2 , pp. 129
    • Bialynicki-Birula, I.1    Mycielski, J.2
  • 17
    • 3042978330 scopus 로고
    • Der Bau der atome und die physikalischen und chemischen eigenschaften der elemente
    • 10.1007/BF01326955 1434-6001
    • Bohr N 1922 Der Bau der atome und die physikalischen und chemischen eigenschaften der elemente Z. Phys. 9 167
    • (1922) Z. Phys. , vol.9 , Issue.1 , pp. 1-67
    • Bohr, N.1
  • 18
    • 34250926854 scopus 로고
    • Näherungsmethode zur Lösung des quantenmechanischen mehrkörperproblems
    • 10.1007/BF01340294 1434-6001
    • Fock V 1930 Näherungsmethode zur Lösung des quantenmechanischen mehrkörperproblems Z. Phys. 61 12648
    • (1930) Z. Phys. , vol.61 , Issue.1-2 , pp. 126-148
    • Fock, V.1
  • 19
    • 84956767824 scopus 로고
    • The wave mechanics of an atom with a non-Coulomb central field: Part I. Theory and methods
    • 10.1017/S0305004100011919 0305-0041
    • Hartree D R 1928 The wave mechanics of an atom with a non-Coulomb central field: part I. Theory and methods Math. Proc. Camb. Phil. Soc. 24 89110
    • (1928) Math. Proc. Camb. Phil. Soc. , vol.24 , Issue.1 , pp. 89-110
    • Hartree, D.R.1
  • 20
    • 3042970738 scopus 로고
    • Period doubling in the n + l filling rule and dynamic symmetry of the DemkovOstrovsky atomic model
    • 10.1088/0022-3700/16/18/006 0022-3700
    • Kitagawara Y and Barut A O 1983 Period doubling in the n + l filling rule and dynamic symmetry of the DemkovOstrovsky atomic model J. Phys. B: At. Mol. Phys. 16 330527
    • (1983) J. Phys. B: At. Mol. Phys. , vol.16 , Issue.18 , pp. 3305-3327
    • Kitagawara, Y.1    Barut, A.O.2
  • 21
    • 0000148616 scopus 로고
    • Large-N expansions in quantum mechanics, atomic physics and some O(N) invariant systems
    • 10.1016/0370-1573(90)90048-7 0370-1573
    • Chatterjee A 1990 Large-N expansions in quantum mechanics, atomic physics and some O(N) invariant systems Phys. Rep. 186 249
    • (1990) Phys. Rep. , vol.186 , Issue.6 , pp. 249
    • Chatterjee, A.1
  • 23
    • 0037075612 scopus 로고    scopus 로고
    • Bose-Einstein condensation of atomic gases
    • DOI 10.1038/416211a
    • Anglin J R and Ketterle W 2002 BoseEinstein condensation of atomic gases Nature 416 2118 (Pubitemid 34246484)
    • (2002) Nature , vol.416 , Issue.6877 , pp. 211-218
    • Anglin, J.R.1    Ketterle, W.2
  • 25
    • 0037666927 scopus 로고
    • The relation between the properties and atomic weights of the elements
    • Mendeleev D I 1869 The relation between the properties and atomic weights of the elements J. Russ. Chem. Soc. 1 6077
    • (1869) J. Russ. Chem. Soc. , vol.1 , pp. 60-77
    • Mendeleev, D.I.1
  • 27
    • 0033543586 scopus 로고    scopus 로고
    • Onset of Fermi degeneracy in a trapped atomic gas
    • DOI 10.1126/science.285.5434.1703
    • DeMarco B and Jin D 1999 Onset of Fermi degeneracy in a trapped atomic gas Science 285 1703 (Pubitemid 29428864)
    • (1999) Science , vol.285 , Issue.5434 , pp. 1703-1706
    • DeMarco, B.1    Jin, D.S.2
  • 28
    • 0036877317 scopus 로고    scopus 로고
    • Complete functional theory for the fermion density of independent particles subject to harmonic confinement in d dimensions for an arbitrary number of closed shells Phys
    • Howard I A, March N H and Nieto L M 2002 Complete functional theory for the fermion density of independent particles subject to harmonic confinement in d dimensions for an arbitrary number of closed shells Phys. Rev. A 66 054501
    • (2002) Rev. A , vol.66 , pp. 054501
    • Howard, I.A.1    March, N.H.2    Nieto, L.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.