메뉴 건너뛰기




Volumn 43, Issue 7-8, 2004, Pages 1675-1687

Arrow of time in rigged Hilbert space quantum mechanics

Author keywords

Arrow of time; Irreversibility; Quantum mechanics; Rigged Hilbert space

Indexed keywords


EID: 0347791415     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:IJTP.0000048813.60909.8c     Document Type: Article
Times cited : (3)

References (26)
  • 1
    • 0004627344 scopus 로고    scopus 로고
    • Quantum scattering of resonances: Poles of a continued S-matrix and poles of an extended resolvent
    • A. Bohm, H.-D. Doebner, and P. Kileanowski, eds., Springer-Verlag, Berlin
    • Antoniou, I. and Melnikov, Y. (1998). Quantum scattering of resonances: Poles of a continued S-matrix and poles of an extended resolvent. In Lecture Notes in Physics, Vol. 504. Irreversibility and Causality: Semigroups and Rigged Hilbert Spaces, A. Bohm, H.-D. Doebner, and P. Kileanowski, eds., Springer-Verlag, Berlin.
    • (1998) Lecture Notes in Physics, Vol. 504. Irreversibility and Causality: Semigroups and Rigged Hilbert Spaces , vol.504
    • Antoniou, I.1    Melnikov, Y.2
  • 2
    • 0000917444 scopus 로고
    • Intrinsic irreversibility and integrability of dynamics
    • Antoniou, I. and Prigogine, I. (1993). Intrinsic irreversibility and integrability of dynamics. Physica A 192, 443-464.
    • (1993) Physica A , vol.192 , pp. 443-464
    • Antoniou, I.1    Prigogine, I.2
  • 3
    • 0010153001 scopus 로고    scopus 로고
    • Extrinsic and intrinsic irreversibility in probabilistic dynamical laws
    • L. Accardi, ed., World Scientific, Singapore
    • Atmanspacher, H., Bishop, R., and Amann, A. (2002). Extrinsic and intrinsic irreversibility in probabilistic dynamical laws. In Quantum Probability and Related Topics, L. Accardi, ed., World Scientific, Singapore, pp. 50-70.
    • (2002) Quantum Probability and Related Topics , pp. 50-70
    • Atmanspacher, H.1    Bishop, R.2    Amann, A.3
  • 5
    • 0010399580 scopus 로고
    • Rigged Hilbert space and mathematical description of physical systems
    • W. Brittin, ed., Gordon and Breach Science Publishers, New York
    • Bohm, A. (1967). Rigged Hilbert space and mathematical description of physical systems. In Lectures in Theoretical Physics Vol IX A: Mathematical Methods of Theoretical Physics, W. Brittin, ed., Gordon and Breach Science Publishers, New York.
    • (1967) Lectures in Theoretical Physics Vol IX A: Mathematical Methods of Theoretical Physics
    • Bohm, A.1
  • 8
    • 0001268830 scopus 로고
    • The preparation/registration arrow of time in quantum mechanics
    • Bohm, A., Antoniou, I., and Kielanowski, P. (1994). The preparation/registration arrow of time in quantum mechanics. Physics Letters A 189, 442-448.
    • (1994) Physics Letters A , vol.189 , pp. 442-448
    • Bohm, A.1    Antoniou, I.2    Kielanowski, P.3
  • 10
    • 0042368506 scopus 로고    scopus 로고
    • Some little things about rigged Hilbert spaces and quantum mechanics and all that
    • I. Antoniou and G. Lumer, eds., Chapman & Hall/CRC, Boca Raton, FL
    • Bohm, A., Gadella, M., and Wickramasekara, S. (1999). Some little things about rigged Hilbert spaces and quantum mechanics and all that. In Generalized Functions, Operator Theory, and Dynamical Systems, I. Antoniou and G. Lumer, eds., Chapman & Hall/CRC, Boca Raton, FL, pp. 202-250.
    • (1999) Generalized Functions, Operator Theory, and Dynamical Systems , pp. 202-250
    • Bohm, A.1    Gadella, M.2    Wickramasekara, S.3
  • 11
    • 0031094462 scopus 로고    scopus 로고
    • Quantum mechanical irreversibility
    • Bohm, A., Maxson, S., Loewe, M., and Gadella, M. (1997). Quantum mechanical irreversibility. Physica A 236, 485-549.
    • (1997) Physica A , vol.236 , pp. 485-549
    • Bohm, A.1    Maxson, S.2    Loewe, M.3    Gadella, M.4
  • 13
    • 36749107562 scopus 로고
    • 0 A rigged Hilbert space of Hardy-Class functions: Applications to resonances
    • Gadella, M. (1983).0 A rigged Hilbert space of Hardy-Class functions: Applications to resonances. Journal of Mathematical Physics 24, 1462-1469.
    • (1983) Journal of Mathematical Physics , vol.24 , pp. 1462-1469
    • Gadella, M.1
  • 18
    • 36849108659 scopus 로고
    • Rigged Hilbert space formalism as an extended mathematical formalism for quantum systems. I. General theory
    • Melsheimer, O. (1974a). Rigged Hilbert space formalism as an extended mathematical formalism for quantum systems. I. General theory. Journal of Mathematical Physics 15, 902-916.
    • (1974) Journal of Mathematical Physics , vol.15 , pp. 902-916
    • Melsheimer, O.1
  • 19
    • 36849110572 scopus 로고
    • Rigged Hilbert Space formalism as an extended mathematical formalism for quantum systems. II. Transformation theory in nonrelativistic quantum mechanics
    • Melsheimer, O. (1974b). Rigged Hilbert Space formalism as an extended mathematical formalism for quantum systems. II. Transformation theory in nonrelativistic quantum mechanics. Journal of Mathematical Physics 15, 917-926.
    • (1974) Journal of Mathematical Physics , vol.15 , pp. 917-926
    • Melsheimer, O.1
  • 21
    • 0000769597 scopus 로고
    • Analytic vectors
    • Nelson, E. (1959). Analytic vectors. Annals of Mathematics 70, 572-615.
    • (1959) Annals of Mathematics , vol.70 , pp. 572-615
    • Nelson, E.1
  • 22
    • 0002285639 scopus 로고    scopus 로고
    • The Liouville space extension of quantum mechanics
    • I. Prigogine and S. Rice, eds., Wiley, New York
    • Petrosky, T. and Prigogine, I. (1997a). The Liouville space extension of quantum mechanics. In Advances in Chemical Physics Vol. XCIX, I. Prigogine and S. Rice, eds., Wiley, New York.
    • (1997) Advances in Chemical Physics , vol.99
    • Petrosky, T.1    Prigogine, I.2
  • 23
    • 0031192866 scopus 로고    scopus 로고
    • The extension of classical dynamics for unstable Hamiltonian systems
    • Petrosky, T. and Prigogine, I. (1997b). The extension of classical dynamics for unstable Hamiltonian systems. Computers & Mathematics with Applications 34, 1-44.
    • (1997) Computers & Mathematics with Applications , vol.34 , pp. 1-44
    • Petrosky, T.1    Prigogine, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.