-
1
-
-
0009448302
-
Uber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
-
W. Heisenberg, Uber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik, Z. Phys. 43 (1927) 172-198.
-
(1927)
Z. Phys.
, vol.43
, pp. 172-198
-
-
Heisenberg, W.1
-
2
-
-
0001044725
-
Zur quantenmechanik einfacher bewegungstypen
-
E.H. Kennard, Zur quantenmechanik einfacher bewegungstypen, Z. Phys. 44 (1927) 326-352.
-
(1927)
Z. Phys.
, vol.44
, pp. 326-352
-
-
Kennard, E.H.1
-
3
-
-
84856043672
-
A mathematical theory of communication
-
C.E. Shannon, A mathematical theory of communication, Bell Syst. Tech. 27 (1948) 379-423;
-
(1948)
Bell Syst. Tech.
, vol.27
, pp. 379-423
-
-
Shannon, C.E.1
-
4
-
-
84856043672
-
A mathematical theory of communication II
-
C.E. Shannon, A mathematical theory of communication II, Bell Syst. Tech. 27 (1948) 623-656.
-
(1948)
Bell Syst. Tech.
, vol.27
, pp. 623-656
-
-
Shannon, C.E.1
-
5
-
-
84939431353
-
Theory of statistical estimation
-
R.A. Fisher, Theory of statistical estimation, Proc. Cambridge Philos. Soc. 22 (1925) 700-725.
-
(1925)
Proc. Cambridge Philos. Soc.
, vol.22
, pp. 700-725
-
-
Fisher, R.A.1
-
6
-
-
33645527926
-
Informational theoretical approaches to quantum chemistry
-
K.D. Sen (Ed.), World Scientific, Singapore
-
S.R. Gadre, Informational theoretical approaches to quantum chemistry, in: K.D. Sen (Ed.), Reviews of Modern Quantum Chemistry, Vol. 1, World Scientific, Singapore, 2002, pp. 108-145.
-
(2002)
Reviews of Modern Quantum Chemistry
, vol.1
, pp. 108-145
-
-
Gadre, S.R.1
-
7
-
-
34547109818
-
Position and momentum information entropy of D-dimensional harmonic oscillator and hydrogen atom
-
R.J. Yáñez, W. Van Assche, J.S. Dehesa, Position and momentum information entropy of D-dimensional harmonic oscillator and hydrogen atom, Phys. Rev. A 50 (1994) 3065-3079.
-
(1994)
Phys. Rev. A
, vol.50
, pp. 3065-3079
-
-
Yáñez, R.J.1
Van Assche, W.2
Dehesa, J.S.3
-
8
-
-
34547649460
-
Characteristic features of Shannon information entropy of confined atoms
-
K.D. Sen, Characteristic features of Shannon information entropy of confined atoms, J. Chem. Phys. 123 (1-9) (2005) 074110.
-
(2005)
J. Chem. Phys.
, vol.123
, Issue.1-9
, pp. 074110
-
-
Sen, K.D.1
-
9
-
-
33744729338
-
Fisher information in D-dimensional hydrogenic systems in position and momentum space
-
J.S. Dehesa, S. López-Rosa, B. Olmos, R.J. Yáñez, Fisher information in D-dimensional hydrogenic systems in position and momentum space, J. Math. Phys. 47 (1-13) (2006) 052104.
-
(2006)
J. Math. Phys.
, vol.47
, Issue.1-13
, pp. 052104
-
-
Dehesa, J.S.1
López-Rosa, S.2
Olmos, B.3
Yáñez, R.J.4
-
10
-
-
34547602346
-
Complexity of Dirac-Fock atom increases with atomic number
-
DOI 10.1016/j.cplett.2007.07.003, PII S0009261407009165
-
A. Borgoo, F. De Prost, P. Geerlings, K.D. Sen, Complexity of Dirac-Fock atom increases with atomic number, Chem. Phys. Lett. 444 (2007) 186-191. (Pubitemid 47198598)
-
(2007)
Chemical Physics Letters
, vol.444
, Issue.1-3
, pp. 186-191
-
-
Borgoo, A.1
De Proft, F.2
Geerlings, P.3
Sen, K.D.4
-
11
-
-
0000617016
-
Uncertainty relations for information entropy in wave mechanics
-
I. Bialynicki-Birula, J. Mycielski, Uncertainty relations for information entropy in wave mechanics, Comm. Math. Phys. 44 (1975) 129-132.
-
(1975)
Comm. Math. Phys.
, vol.44
, pp. 129-132
-
-
Bialynicki-Birula, I.1
Mycielski, J.2
-
12
-
-
22944453366
-
Local correlation measures in atomic systems
-
N.L. Guevara, R.P. Sagar, R.O. Esquivel, Local correlation measures in atomic systems, J. Chem. Phys. 122 (1-8) (2005) 084101.
-
(2005)
J. Chem. Phys.
, vol.122
, Issue.1-8
, pp. 084101
-
-
Guevara, N.L.1
Sagar, R.P.2
Esquivel, R.O.3
-
14
-
-
12944295719
-
Some inequalities satisfied by the quantities of information of Fisher and Shannon
-
A. Stam, Some inequalities satisfied by the quantities of information of Fisher and Shannon, Inform. Control 2 (1959) 101-112.
-
(1959)
Inform. Control
, vol.2
, pp. 101-112
-
-
Stam, A.1
-
17
-
-
33646524760
-
Differential entropy and dynamics of uncertainty
-
P.J. Garbacjewski, Differential entropy and dynamics of uncertainty, J. Stat. Phys. 123 (2006) 315-355.
-
(2006)
J. Stat. Phys.
, vol.123
, pp. 315-355
-
-
Garbacjewski, P.J.1
-
18
-
-
34247582485
-
Information-theoretic measures of hyperspherical harmonics
-
J.S. Dehesa, S. López-Rosa, R.J. Yáñez, Information-theoretic measures of hyperspherical harmonics, J. Math. Phys. 48 (1-10) (2007) 043503.
-
(2007)
J. Math. Phys.
, vol.48
, Issue.1-10
, pp. 043503
-
-
Dehesa, J.S.1
López-Rosa, S.2
Yáñez, R.J.3
-
19
-
-
0012103987
-
Expectation values in one- and two-electron atomic systems
-
B. Tsapline, Expectation values in one- and two-electron atomic systems, Chem. Phys. Lett. 6 (1970) 596-600.
-
(1970)
Chem. Phys. Lett.
, vol.6
, pp. 596-600
-
-
Tsapline, B.1
-
20
-
-
0031581765
-
Entropic uncertainty relations for the infinite well
-
V. Majernik, L. Richterek, Entropic uncertainty relations for the infinite well, J. Phys. A: Math. Gen. 30 (1997) L49-L54.
-
(1997)
J. Phys. A: Math. Gen.
, vol.30
-
-
Majernik, V.1
Richterek, L.2
-
21
-
-
4043105582
-
The HVT technique and the 'uncertainty' relation for central potentials
-
M.E. Grypeoos, C.G. Koutroulos, K.J. Oyewumi, Th. Petridou, The HVT technique and the 'uncertainty' relation for central potentials, J. Phys A: Math. Gen. 37 (2004) 7895-7908.
-
(2004)
J. Phys A: Math. Gen.
, vol.37
, pp. 7895-7908
-
-
Grypeoos, M.E.1
Koutroulos, C.G.2
Oyewumi, K.J.3
Petridou, Th.4
-
22
-
-
14844307016
-
The uncertainties in radial position and radial momentum of an electron in the non-relativistic hydrogen-like atom
-
C.D. Kuo, The uncertainties in radial position and radial momentum of an electron in the non-relativistic hydrogen-like atom, Ann. Phys. 316 (2005) 431-439.
-
(2005)
Ann. Phys.
, vol.316
, pp. 431-439
-
-
Kuo, C.D.1
-
23
-
-
0035418208
-
Quantum information entropies and orthogonal polynomials
-
DOI 10.1016/S0377-0427(00)00633-6, PII S0377042700006336, Special Issue: Orthogonal Polynomials Special Functions and their Applications
-
J.S. Dehesa, A. Martinez-Finkelstein, J. Sanchez-Ruiz, Quantum information entropies and orthogonal polynomials, J. Comput. Appl. Math. 133 (2001) 23-46. (Pubitemid 32826655)
-
(2001)
Journal of Computational and Applied Mathematics
, vol.133
, Issue.1-2
, pp. 23-46
-
-
Dehesa, J.S.1
Martinez-Finkelshtdein, A.2
Sanchez-Ruiz, J.3
-
24
-
-
25844472640
-
The Fisher information of single-particle systems with a central potential
-
DOI 10.1016/j.cplett.2005.08.032, PII S0009261405011966
-
E. Romera, P. Sanchez-Moreno, J.S. Dehesa, The Fisher information of single particle systems with a central potential, Chem. Phys. Lett. 414 (2005) 468-472. (Pubitemid 41393653)
-
(2005)
Chemical Physics Letters
, vol.414
, Issue.4-6
, pp. 468-472
-
-
Romera, E.1
Sanchez-Moreno, P.2
Dehesa, J.S.3
-
25
-
-
2942566055
-
The Fisher information plane, an electron correlation tool
-
E. Romera, J.S. Dehesa, The Fisher information plane, an electron correlation tool, J. Chem. Phys. 120 (2004) 8906-8912.
-
(2004)
J. Chem. Phys.
, vol.120
, pp. 8906-8912
-
-
Romera, E.1
Dehesa, J.S.2
-
26
-
-
32444441404
-
Information-theoretic measures for Morse and Pöschl-Teller potentials
-
DOI 10.1080/00268970500493243, PII K50556650768
-
J.S. Dehesa, A. Martinez-Finkelstein, V.N. Sorokin, Information-theoretic measures for Morse and Pöschl-Teller potentials, Mol. Phys. 104 (2006) 613-622. (Pubitemid 43224169)
-
(2006)
Molecular Physics
, vol.104
, Issue.4
, pp. 613-622
-
-
Dehesa, J.S.1
Martinez-Finkelshtein, A.2
Sorokin, V.N.3
-
27
-
-
33750571650
-
Formulation of the uncertainty relations in terms of the Renyi entropies
-
I. Bialynicki-Birula, Formulation of the uncertainty relations in terms of the Renyi entropies, Phys. Rev. A 74 (1-6) (2006) 052101.
-
(2006)
Phys. Rev. A
, vol.74
, Issue.1-6
, pp. 052101
-
-
Bialynicki-Birula, I.1
-
28
-
-
33747603472
-
Information entropies of eigendensities of homogeneous potentials
-
K.D. Sen, J. Katriel, Information entropies of eigendensities of homogeneous potentials, J. Chem. Phys. 125 (1-4) (2006) 074117.
-
(2006)
J. Chem. Phys.
, vol.125
, Issue.1-4
, pp. 074117
-
-
Sen, K.D.1
Katriel, J.2
-
30
-
-
25144516219
-
An information theoretical estimate of the exchange parameter in X theory
-
K.B.K. Raju, P.V.S. Nair, K.D. Sen, An information theoretical estimate of the exchange parameter in X theory, Chem. Phys. Lett. 170 (1990) 89-93.
-
(1990)
Chem. Phys. Lett.
, vol.170
, pp. 89-93
-
-
Raju, K.B.K.1
Nair, P.V.S.2
Sen, K.D.3
-
31
-
-
33646516485
-
Possible generalization of Boltzmann-Gibbs statistics
-
C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics, J. Stat. Phys. 52 (1988) 479-487.
-
(1988)
J. Stat. Phys.
, vol.52
, pp. 479-487
-
-
Tsallis, C.1
-
32
-
-
0345275498
-
Dirac's one-electron problem in momentum Representation
-
A. Rubinowicz, Dirac's one-electron problem in momentum representation, Phys. Rev. 73 (1948) 1330-1333.
-
(1948)
Phys. Rev.
, vol.73
, pp. 1330-1333
-
-
Rubinowicz, A.1
-
33
-
-
0345306684
-
Transformed dirac equation for the hydrogen atom, comparison with previous approaches in momentum space, and the anomalous zeeman effect in momentum representation
-
S.N. Datta, Transformed Dirac equation for the hydrogen atom, comparison with previous approaches in momentum space, and the anomalous Zeeman effect in momentum representation, Int. J. Quantum Chem. 96 (2004) 42-55.
-
(2004)
Int. J. Quantum Chem.
, vol.96
, pp. 42-55
-
-
Datta, S.N.1
-
34
-
-
33645542880
-
Momentum representation of Dirac relativistic wave function
-
C.V. Sheth, Momentum representation of Dirac relativistic wave function, Phys. Rev. A 30 (1984) 1537-1539.
-
(1984)
Phys. Rev. A
, vol.30
, pp. 1537-1539
-
-
Sheth, C.V.1
-
35
-
-
33745513468
-
Radial position momentum uncertainties for the dirac hydrogen-like atoms
-
W.C. Qiang, S.H. Dong, Radial position momentum uncertainties for the Dirac hydrogen-like atoms, J. Phys. A 39 (2006) 8663-8674.
-
(2006)
J. Phys. A
, vol.39
, pp. 8663-8674
-
-
Qiang, W.C.1
Dong, S.H.2
-
36
-
-
0037177783
-
The non-self-adjointness of the radial momentum operator in N-dimensions
-
G. Paz, The non-self-adjointness of the radial momentum operator in N-dimensions, J. Phys. A 35 (2002) 3727-3732.
-
(2002)
J. Phys. A
, vol.35
, pp. 3727-3732
-
-
Paz, G.1
-
38
-
-
21244431965
-
Hydrogen atom in the momentum representation
-
J.R. Lombardi, Hydrogen atom in the momentum representation, Phys. Rev. A 22 (1980) 797-802.
-
(1980)
Phys. Rev. A
, vol.22
, pp. 797-802
-
-
Lombardi, J.R.1
-
40
-
-
80051550580
-
-
McGraw-Hill, New York
-
P.M. Morse, H. Feshbach, Methods of Theoretical Physics, Vol. II, McGraw-Hill, New York, 1953, pp. 1680.
-
(1953)
Methods of Theoretical Physics
, vol.2
, pp. 1680
-
-
Morse, P.M.1
Feshbach, H.2
-
41
-
-
80051547998
-
-
North Holland, Amsterdam
-
A. Messiah, Quantum Mechanics, Vol. I, North Holland, Amsterdam, 1965, pp. 134.
-
(1965)
Quantum Mechanics
, vol.1
, pp. 134
-
-
Messiah, A.1
-
42
-
-
35949020701
-
Quantum solutions and classical limits of strong Coulomb fields
-
J.D. Garcia, Quantum solutions and classical limits of strong Coulomb fields, Phys. Rev. A 34 (1986) 4396-4398.
-
(1986)
Phys. Rev. A
, vol.34
, pp. 4396-4398
-
-
Garcia, J.D.1
-
44
-
-
41349100418
-
Features of extension of a statistical measure of complexity to continuous systems
-
R.G. Catalán, J. Garay, R. López-Ruiz, Features of extension of a statistical measure of complexity to continuous systems, Phys. Rev. E 66 (1-6) (2002) 011102.
-
(2002)
Phys. Rev. E
, vol.66
, Issue.1-6
, pp. 011102
-
-
Catalán, R.G.1
Garay, J.2
López-Ruiz, R.3
-
46
-
-
27644570626
-
Information entropy, information distance and complexity in atoms
-
K.Ch. Chatzisavvas, Ch.C. Moustakidis, C.P. Panos, Information entropy, information distance and complexity in atoms, J. Chem. Phys. 123 (1-10) (2005) 174111.
-
(2005)
J. Chem. Phys.
, vol.123
, Issue.1-10
, pp. 174111
-
-
Chatzisavvas, K.Ch.1
Moustakidis, Ch.C.2
Panos, C.P.3
-
47
-
-
33846618775
-
Comparison of SDL and LMC measures: Atoms as a testbed
-
C.P. Panos, K.Ch. Chatzisavvas, Ch.C. Moustakidis, E.G. Kyrkou, Comparison of SDL and LMC measures: Atoms as a testbed, Phys. Lett. A 363 (2007) 78-83.
-
(2007)
Phys. Lett. A
, vol.363
, pp. 78-83
-
-
Panos, C.P.1
Chatzisavvas, K.Ch.2
Moustakidis, Ch.C.3
Kyrkou, E.G.4
-
49
-
-
42949169434
-
Atomic complexity measures in position and momentum spaces
-
J.C. Angulo, J. Antolín, Atomic complexity measures in position and momentum spaces, J. Chem. Phys. 128 (1-7) (2008) 164109.
-
(2008)
J. Chem. Phys.
, vol.128
, Issue.1-7
, pp. 164109
-
-
Angulo, J.C.1
Antolín, J.2
-
51
-
-
33646713000
-
Information theory, the shape function, and the Hirshfeld atom
-
DOI 10.1007/s00214-006-0121-5
-
P.W. Ayers, Information theory, the shape function and the Hirshfeld atom, Theor. Chem. Accounts 115 (2006) 370-378. (Pubitemid 43736250)
-
(2006)
Theoretical Chemistry Accounts
, vol.115
, Issue.5
, pp. 370-378
-
-
Ayers, P.W.1
|