메뉴 건너뛰기




Volumn 41, Issue 3, 2002, Pages 511-527

Nonstandard methods in quantum field theory I: A hyperfinite formalism of scalar fields

Author keywords

Axiomatic field theory; Canonical commutation relations; Nonstandard analysis; Quantum fields; Wightman fields

Indexed keywords


EID: 0036108157     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014253422872     Document Type: Article
Times cited : (3)

References (20)
  • 4
    • 0002570687 scopus 로고
    • Fields as operator-valued distributions in quantum field theory
    • Gårding, L. and Wightman, A. S. (1964). Fields as operator-valued distributions in quantum field theory. Arkiv för Fysik 28, 129-184.
    • (1964) Arkiv för Fysik , vol.28 , pp. 129-184
    • Gårding, L.1    Wightman, A.S.2
  • 5
    • 21844495764 scopus 로고
    • Toward a rigorous quantum field theory
    • Gudder, S. (1994). Toward a rigorous quantum field theory. Foundation of Physics 24, 1205-1225.
    • (1994) Foundation of Physics , vol.24 , pp. 1205-1225
    • Gudder, S.1
  • 8
  • 9
    • 0000092039 scopus 로고
    • A nonstandard representation of Feynman's path integrals
    • Nakamura, T. (1991). A nonstandard representation of Feynman's path integrals. Journal of Mathematical Physics 32, 457-463.
    • (1991) Journal of Mathematical Physics , vol.32 , pp. 457-463
    • Nakamura, T.1
  • 10
    • 0031485409 scopus 로고    scopus 로고
    • Path space measures for Dirac and Schrödinger equations: Nonstandard analytical approach
    • Nakamura, T. (1997). Path space measures for Dirac and Schrödinger equations: Nonstandard analytical approach. Journal of Mathematical Physics 38, 4052-4072.
    • (1997) Journal of Mathematical Physics , vol.38 , pp. 4052-4072
    • Nakamura, T.1
  • 11
    • 0002344851 scopus 로고
    • Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in Physics
    • Ojima, I. and Ozawa, M. (1993). Unitary representations of the hyperfinite Heisenberg group and the logical extension methods in Physics. Open Systems and Information Dynamics 2, 107-128.
    • (1993) Open Systems and Information Dynamics , vol.2 , pp. 107-128
    • Ojima, I.1    Ozawa, M.2
  • 13
    • 0031168897 scopus 로고    scopus 로고
    • Phase operator problem and macroscopic extension of quantum mechanics
    • Ozawa, M. (1997). Phase operator problem and macroscopic extension of quantum mechanics. Annals of Physics 257, 65-83.
    • (1997) Annals of Physics , vol.257 , pp. 65-83
    • Ozawa, M.1
  • 18
    • 0032380220 scopus 로고    scopus 로고
    • Hyperfinite-dimensional representations of canonical commutation relation
    • Yamashita, H. (1998). Hyperfinite-dimensional representations of canonical commutation relation. Journal of Mathematical Physics 39, 2682-2692.
    • (1998) Journal of Mathematical Physics , vol.39 , pp. 2682-2692
    • Yamashita, H.1
  • 19
    • 0034310143 scopus 로고    scopus 로고
    • Nonstandard representations of the canonical commutation relations
    • Yamashita, H. and Ozawa, M. (2000). Nonstandard representations of the canonical commutation relations. Reviews in Mathematical Physics 12, 1407-1427.
    • (2000) Reviews in Mathematical Physics , vol.12 , pp. 1407-1427
    • Yamashita, H.1    Ozawa, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.