메뉴 건너뛰기




Volumn 37, Issue 11, 1996, Pages 5837-5847

Rigged Hilbert spaces for chaotic dynamical systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030518479     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531703     Document Type: Article
Times cited : (27)

References (37)
  • 6
    • 36849103912 scopus 로고
    • Dirac formalism and symmetry problems in quantum mechanics. I. General Dirac formalism
    • J.-P. Antoine, "Dirac formalism and symmetry problems in quantum mechanics. I. General Dirac formalism," J. Math. Phys. 10, 53-69 (1969).
    • (1969) J. Math. Phys. , vol.10 , pp. 53-69
    • Antoine, J.-P.1
  • 7
    • 0000989341 scopus 로고
    • Tight riggings for a complete set of commuting observables
    • D. Fredricks, "Tight riggings for a complete set of commuting observables," Rep. Math. Phys. 8, 277-293 (1975).
    • (1975) Rep. Math. Phys. , vol.8 , pp. 277-293
    • Fredricks, D.1
  • 8
    • 36849108659 scopus 로고
    • Rigged Hilbert space formalism as extended mathematical formalism for quantum systems. I. General theory
    • O. Melsheimer, "Rigged Hilbert space formalism as extended mathematical formalism for quantum systems. I. General theory," J. Math. Phys. 15, 902-916 (1974).
    • (1974) J. Math. Phys. , vol.15 , pp. 902-916
    • Melsheimer, O.1
  • 9
    • 0000917444 scopus 로고
    • Intrinsic irreversibility and integrability of dynamics
    • I. Antoniou and I. Prigogine, "Intrinsic irreversibility and integrability of dynamics," Physica A 192, 443-464 (1993).
    • (1993) Physica A , vol.192 , pp. 443-464
    • Antoniou, I.1    Prigogine, I.2
  • 12
    • 33646978879 scopus 로고
    • Meromorphic endomorphisms of Lebesgue spaces
    • M. Pollicott, "Meromorphic endomorphisms of Lebesgue spaces," Invent. Math. 85, 147-164 (1986).
    • (1986) Invent. Math. , vol.85 , pp. 147-164
    • Pollicott, M.1
  • 13
    • 0001337517 scopus 로고
    • Resonances of chaotic dynamical systems
    • D. Ruelle, "Resonances of chaotic dynamical systems," Phys. Rev. Lett. 56, 405-407 (1986).
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 405-407
    • Ruelle, D.1
  • 15
    • 51649157555 scopus 로고
    • An extension of the theory of Fredholm determinants
    • D. Ruelle, "An extension of the theory of Fredholm determinants," Publ. Math. IHES 72, 175-193 (1990) (1993).
    • (1990) Publ. Math. IHES , vol.72 , pp. 175-193
    • Ruelle, D.1
  • 17
    • 84990727688 scopus 로고
    • Generalized spectral decomposition of mixing dynamical systems
    • I. Antoniou and S. Tasaki, "Generalized spectral decomposition of mixing dynamical systems," Int. J. Quant. Chem. 46, 425-474 (1993).
    • (1993) Int. J. Quant. Chem. , vol.46 , pp. 425-474
    • Antoniou, I.1    Tasaki, S.2
  • 18
    • 17844380546 scopus 로고
    • Spectral decomposition of the Renyi map
    • I. Antoniou and S. Tasaki, "Spectral decomposition of the Renyi map," J. Phys. A 26, 73-94 (1993).
    • (1993) J. Phys. A , vol.26 , pp. 73-94
    • Antoniou, I.1    Tasaki, S.2
  • 19
    • 44049120431 scopus 로고
    • Generalized spectral decomposition of the β-adic baker's transformation and intrinsic irreversibility
    • I. Antoniou and S. Tasaki, "Generalized spectral decomposition of the β-adic baker's transformation and intrinsic irreversibility," Physica A 190, 303-329 (1992).
    • (1992) Physica A , vol.190 , pp. 303-329
    • Antoniou, I.1    Tasaki, S.2
  • 20
    • 0001741383 scopus 로고
    • Time correlation functions of one dimensional transformations
    • H. Mori, B. So, and T. Ose, "Time correlation functions of one dimensional transformations," Progr. Theor. Phys. 66, 1266-1283 (1981).
    • (1981) Progr. Theor. Phys. , vol.66 , pp. 1266-1283
    • Mori, H.1    So, B.2    Ose, T.3
  • 21
    • 0002161851 scopus 로고
    • Spectrum and eigenfunctions of the Frobenius-Perron operator of the tent map
    • M. Dörfle, "Spectrum and eigenfunctions of the Frobenius-Perron operator of the tent map," J. Stat. Phys. 40, 93-103 (1985).
    • (1985) J. Stat. Phys. , vol.40 , pp. 93-103
    • Dörfle, M.1
  • 22
    • 0346779701 scopus 로고
    • r-adic one dimensional maps and the Euler summation formula
    • P. Gaspard, "r-adic one dimensional maps and the Euler summation formula," J. Phys. A 25, L483-L485 (1992); "Diffusion in uniformly hyperbolic one-dimensional maps and Appel polynomials," Phys. Lett. A 168, 13-17 (1992).
    • (1992) J. Phys. A , vol.25
    • Gaspard, P.1
  • 23
    • 0041336891 scopus 로고
    • Diffusion in uniformly hyperbolic one-dimensional maps and Appel polynomials
    • P. Gaspard, "r-adic one dimensional maps and the Euler summation formula," J. Phys. A 25, L483-L485 (1992); "Diffusion in uniformly hyperbolic one-dimensional maps and Appel polynomials," Phys. Lett. A 168, 13-17 (1992).
    • (1992) Phys. Lett. A , vol.168 , pp. 13-17
  • 24
    • 0039892092 scopus 로고
    • Transport as a dynamical property of a simple map
    • H. H. Hasegawa and D. Driebe, "Transport as a dynamical property of a simple map," Phys. Lett. A 168, 18-24 (1992); "Spectral determination and physical conditions for a class of chaotic piecewise-linear maps," ibid. 176, 193-201 (1993).
    • (1992) Phys. Lett. A , vol.168 , pp. 18-24
    • Hasegawa, H.H.1    Driebe, D.2
  • 25
    • 0039210307 scopus 로고
    • Spectral determination and physical conditions for a class of chaotic piecewise-linear maps
    • H. H. Hasegawa and D. Driebe, "Transport as a dynamical property of a simple map," Phys. Lett. A 168, 18-24 (1992); "Spectral determination and physical conditions for a class of chaotic piecewise-linear maps," ibid. 176, 193-201 (1993).
    • (1993) Phys. Lett. A , vol.176 , pp. 193-201
  • 28
    • 0346575354 scopus 로고
    • Expansions in eigenfunctionals
    • R. Hirschfeld, "Expansions in eigenfunctionals," Indag. Math. 27, 513-520 (1965).
    • (1965) Indag. Math. , vol.27 , pp. 513-520
    • Hirschfeld, R.1
  • 35
    • 77950587747 scopus 로고
    • Über zwei Klassen lokalkonvexer Räume, die in den Anwendungen wichtig sind
    • D. A. Raikov, "Über zwei Klassen lokalkonvexer Räume, die in den Anwendungen wichtig sind," Voronež Gos. Univ. Trudy Sem. Funk. Anal. 5, 22-34 (1958).
    • (1958) Voronež Gos. Univ. Trudy Sem. Funk. Anal. , vol.5 , pp. 22-34
    • Raikov, D.A.1
  • 36
    • 0002787955 scopus 로고
    • Exact endomorphisms of Lebesgue spaces
    • V. Rokhlin, "Exact endomorphisms of Lebesgue spaces," Am. Math. Soc. Transl. 39, 1-36 (1964).
    • (1964) Am. Math. Soc. Transl. , vol.39 , pp. 1-36
    • Rokhlin, V.1
  • 37
    • 0003372592 scopus 로고
    • A Theory of Cross-spaces
    • Princeton University, Princeton, NJ
    • R. Schatten, A Theory of Cross-spaces, Ann. Math. Stud. 26 (Princeton University, Princeton, NJ, 1950).
    • (1950) Ann. Math. Stud. , vol.26
    • Schatten, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.