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Volumn 68, Issue 2, 2003, Pages 221071-2210722

Radiation damping in classical systems: The role of nonintegrability

Author keywords

[No Author keywords available]

Indexed keywords

HAMILTONIANS; MATHEMATICAL TRANSFORMATIONS; PROBABILITY; RESONANCE;

EID: 0142025210     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.68.022107     Document Type: Article
Times cited : (23)

References (53)
  • 1
    • 0035332378 scopus 로고    scopus 로고
    • We refer to this paper as Q1 throughout the present paper
    • G. Ordonez, T. Petrosky, and I. Prigogine, Phys. Rev. A 63, 052106 (2001). We refer to this paper as Q1 throughout the present paper.
    • (2001) Phys. Rev. A , vol.63 , pp. 052106
    • Ordonez, G.1    Petrosky, T.2    Prigogine, I.3
  • 2
    • 0035675126 scopus 로고    scopus 로고
    • We refer to this paper as Q2 throughout the present paper
    • T. Petrosky, G. Ordonez, and I. Prigogine, Phys. Rev. A 64, 062101 (2001). We refer to this paper as Q2 throughout the present paper.
    • (2001) Phys. Rev. A , vol.64 , pp. 062101
    • Petrosky, T.1    Ordonez, G.2    Prigogine, I.3
  • 8
    • 0000690103 scopus 로고
    • L.A. Khalfin, Zh. Éksp. Theor. Fiz. 33, 1371 (1957) [Sov. Phys. JETP 6, 1053 (1958)].
    • (1958) Sov. Phys. JETP , vol.6 , pp. 1053
  • 18
    • 84983706471 scopus 로고    scopus 로고
    • We add this important condition in addition to the conditions enumerated in Q1 [see Eq. (Q1.5.11)]
    • We add this important condition in addition to the conditions enumerated in Q1 [see Eq. (Q1.5.11)].
  • 19
    • 84983711334 scopus 로고    scopus 로고
    • note
    • In Q2 we have used condition (7), which is a replacement of another condition on the energy uncertainty in our other paper Q1. Since the energy fluctuation that is proportional to hℏ vanishes in the classical case, we rather use Eq. (7) to specify the classical Λ.
  • 21
    • 84972505242 scopus 로고
    • I.E. Segal, Ill. J. Math. 6, 500 (1962); Mathematical Problems of Relativistic Physics (American Mathematical Society, Providence, RI, 1963).
    • (1962) Ill. J. Math. , vol.6 , pp. 500
    • Segal, I.E.1
  • 22
    • 84972505242 scopus 로고
    • American Mathematical Society, Providence, RI
    • I.E. Segal, Ill. J. Math. 6, 500 (1962); Mathematical Problems of Relativistic Physics (American Mathematical Society, Providence, RI, 1963).
    • (1963) Mathematical Problems of Relativistic Physics
  • 30
    • 84983706021 scopus 로고    scopus 로고
    • note
    • In order to obtain consistent form of distributions in the integrand over k, we have to take the limit Ω → ∞ first, and then take the limit ∈ → 0+ in the continuous spectrum limit.
  • 45
    • 84983706074 scopus 로고    scopus 로고
    • note
    • M related to the ultraviolet cutoff frequency, as discussed in Appendix D.
  • 46
    • 84983700339 scopus 로고    scopus 로고
    • All figures presented in this paper have been produced by C. O. Ting
    • All figures presented in this paper have been produced by C. O. Ting.
  • 50
    • 0142083796 scopus 로고    scopus 로고
    • edited by D. P. Sheehan, AIP Conf. Proc. No. 643 (AIP, Melville, NY)
    • T. Petrosky and G. Ordonez, in Quantum Limits of the Second Law, edited by D. P. Sheehan, AIP Conf. Proc. No. 643 (AIP, Melville, NY, 2000), p.59.
    • (2000) Quantum Limits of the Second Law , pp. 59
    • Petrosky, T.1    Ordonez, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.