Average entropy of a subsystem from its average Tsallis entropy

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 65, Issue 4, 2002, Pages

  Malacarne, L C ^a   Mendes, R S ^a   Lenzi, E K ^b  

^a STATE UNIVERSITY OF MARINGÁ   (Brazil)

^b CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; GAUSSIAN NOISE (ELECTRONIC); GRAPH THEORY; HAMILTONIANS; INTEGRAL EQUATIONS; QUANTUM THEORY;

HAAR MEASURE; PAGE'S CONJECTURE; SPATIOTEMPORAL COMPLEXITY; TSALLIS ENTROPY;

ENTROPY;

EID: 41349110194     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.046131     Document Type: Article

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57. These kinds of integrals involving Laguerre polynomials appear in the study of quantum mechanics systems. For instance, see: E. Schrödinger. Ann. Phys. (Leipzig) 79, 361 (1926); 79, 489 (1926); 80, 427 (1926); 81, 109 (1926); M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. A19, 438 (1979); M. M. Nieto, Am. J. Phys. 47, 1067 (1979); J. S. Dehesa, R. J. Yáñez, A. I. Aptekarev, and V. Buyarov, J. Math. Phys. 39, 3050 (1998); H. A. Mavromatis and R. S. Alassar, Appl. Math. Lett. 14, 903 (2001); P. M. Morse and H. Feshbach, Methods of Mathematical Physics (McGraw-Hill, New York, 1953), Vol. 1. p. 785. The specific form employed here, Eq. (14), is given in Eq. (17) of Ref. [28].
58. These kinds of integrals involving Laguerre polynomials appear in the study of quantum mechanics systems. For instance, see: E. Schrödinger. Ann. Phys. (Leipzig) 79, 361 (1926); 79, 489 (1926); 80, 427 (1926); 81, 109 (1926); M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. A19, 438 (1979); M. M. Nieto, Am. J. Phys. 47, 1067 (1979); J. S. Dehesa, R. J. Yáñez, A. I. Aptekarev, and V. Buyarov, J. Math. Phys. 39, 3050 (1998); H. A. Mavromatis and R. S. Alassar, Appl. Math. Lett. 14, 903 (2001); P. M. Morse and H. Feshbach, Methods of Mathematical Physics (McGraw-Hill, New York, 1953), Vol. 1. p. 785. The specific form employed here, Eq. (14), is given in Eq. (17) of Ref. [28].
59. These kinds of integrals involving Laguerre polynomials appear in the study of quantum mechanics systems. For instance, see: E. Schrödinger. Ann. Phys. (Leipzig) 79, 361 (1926); 79, 489 (1926); 80, 427 (1926); 81, 109 (1926); M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. A19, 438 (1979); M. M. Nieto, Am. J. Phys. 47, 1067 (1979); J. S. Dehesa, R. J. Yáñez, A. I. Aptekarev, and V. Buyarov, J. Math. Phys. 39, 3050 (1998); H. A. Mavromatis and R. S. Alassar, Appl. Math. Lett. 14, 903 (2001); P. M. Morse and H. Feshbach, Methods of Mathematical Physics (McGraw-Hill, New York, 1953), Vol. 1. p. 785. The specific form employed here, Eq. (14), is given in Eq. (17) of Ref. [28].
60. These kinds of integrals involving Laguerre polynomials appear in the study of quantum mechanics systems. For instance, see: E. Schrödinger. Ann. Phys. (Leipzig) 79, 361 (1926); 79, 489 (1926); 80, 427 (1926); 81, 109 (1926); M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. A19, 438 (1979); M. M. Nieto, Am. J. Phys. 47, 1067 (1979); J. S. Dehesa, R. J. Yáñez, A. I. Aptekarev, and V. Buyarov, J. Math. Phys. 39, 3050 (1998); H. A. Mavromatis and R. S. Alassar, Appl. Math. Lett. 14, 903 (2001); P. M. Morse and H. Feshbach, Methods of Mathematical Physics (McGraw-Hill, New York, 1953), Vol. 1. p. 785. The specific form employed here, Eq. (14), is given in Eq. (17) of Ref. [28].
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62. These kinds of integrals involving Laguerre polynomials appear in the study of quantum mechanics systems. For instance, see: E. Schrödinger. Ann. Phys. (Leipzig) 79, 361 (1926); 79, 489 (1926); 80, 427 (1926); 81, 109 (1926); M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. A19, 438 (1979); M. M. Nieto, Am. J. Phys. 47, 1067 (1979); J. S. Dehesa, R. J. Yáñez, A. I. Aptekarev, and V. Buyarov, J. Math. Phys. 39, 3050 (1998); H. A. Mavromatis and R. S. Alassar, Appl. Math. Lett. 14, 903 (2001); P. M. Morse and H. Feshbach, Methods of Mathematical Physics (McGraw-Hill, New York, 1953), Vol. 1. p. 785. The specific form employed here, Eq. (14), is given in Eq. (17) of Ref. [28].
63. These kinds of integrals involving Laguerre polynomials appear in the study of quantum mechanics systems. For instance, see: E. Schrödinger. Ann. Phys. (Leipzig) 79, 361 (1926); 79, 489 (1926); 80, 427 (1926); 81, 109 (1926); M. M. Nieto and L. M. Simmons, Jr., Phys. Rev. A19, 438 (1979); M. M. Nieto, Am. J. Phys. 47, 1067 (1979); J. S. Dehesa, R. J. Yáñez, A. I. Aptekarev, and V. Buyarov, J. Math. Phys. 39, 3050 (1998); H. A. Mavromatis and R. S. Alassar, Appl. Math. Lett. 14, 903 (2001); P. M. Morse and H. Feshbach, Methods of Mathematical Physics (McGraw-Hill, New York, 1953), Vol. 1. p. 785. The specific form employed here, Eq. (14), is given in Eq. (17) of Ref. [28].
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