메뉴 건너뛰기




Volumn 39, Issue 9, 1998, Pages 4928-4947

On an easy transition from operator dynamics to generating functional by Clifford algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032329625     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532500     Document Type: Article
Times cited : (16)

References (46)
  • 3
    • 0000563622 scopus 로고
    • The radiation theories of Tomonaga, Schwinger and Feynman
    • F. J. Dyson, "The radiation theories of Tomonaga, Schwinger and Feynman," Phys. Rev. 75, 486-502 (1949); "The S-matrix in electrodynamics," ibid. 75, 1736-1755 (1949); "Divergence of perturbation theory in quantum electrodynamics," ibid. 85, 631-632 (1952).
    • (1949) Phys. Rev. , vol.75 , pp. 486-502
    • Dyson, F.J.1
  • 4
    • 36149021943 scopus 로고
    • The S-matrix in electrodynamics
    • F. J. Dyson, "The radiation theories of Tomonaga, Schwinger and Feynman," Phys. Rev. 75, 486-502 (1949); "The S-matrix in electrodynamics," ibid. 75, 1736-1755 (1949); "Divergence of perturbation theory in quantum electrodynamics," ibid. 85, 631-632 (1952).
    • (1949) Phys. Rev. , vol.75 , pp. 1736-1755
  • 5
    • 36149016496 scopus 로고
    • Divergence of perturbation theory in quantum electrodynamics
    • F. J. Dyson, "The radiation theories of Tomonaga, Schwinger and Feynman," Phys. Rev. 75, 486-502 (1949); "The S-matrix in electrodynamics," ibid. 75, 1736-1755 (1949); "Divergence of perturbation theory in quantum electrodynamics," ibid. 85, 631-632 (1952).
    • (1952) Phys. Rev. , vol.85 , pp. 631-632
  • 6
    • 36149010884 scopus 로고
    • The theory of quantized fields I
    • J. Schwinger, "The theory of quantized fields I," Phys. Rev. 82, 914-927 (1951); "The theory of quantized fields II," ibid. 91, 713-728 (1953); "The theory of quantized fields III," ibid. 91, 728-740 (1953); "The theory of quantized fields IV," ibid. 92, 1283-1299 (1953); "The theory of quantized fields V," ibid. 93, 615-628 (1954); "The theory of quantized fields VI," ibid. 94, 1362-1384 (1954).
    • (1951) Phys. Rev. , vol.82 , pp. 914-927
    • Schwinger, J.1
  • 7
    • 0007011760 scopus 로고
    • The theory of quantized fields II
    • J. Schwinger, "The theory of quantized fields I," Phys. Rev. 82, 914-927 (1951); "The theory of quantized fields II," ibid. 91, 713-728 (1953); "The theory of quantized fields III," ibid. 91, 728-740 (1953); "The theory of quantized fields IV," ibid. 92, 1283-1299 (1953); "The theory of quantized fields V," ibid. 93, 615-628 (1954); "The theory of quantized fields VI," ibid. 94, 1362-1384 (1954).
    • (1953) Phys. Rev. , vol.91 , pp. 713-728
  • 8
    • 0000150631 scopus 로고
    • The theory of quantized fields III
    • J. Schwinger, "The theory of quantized fields I," Phys. Rev. 82, 914-927 (1951); "The theory of quantized fields II," ibid. 91, 713-728 (1953); "The theory of quantized fields III," ibid. 91, 728-740 (1953); "The theory of quantized fields IV," ibid. 92, 1283-1299 (1953); "The theory of quantized fields V," ibid. 93, 615-628 (1954); "The theory of quantized fields VI," ibid. 94, 1362-1384 (1954).
    • (1953) Phys. Rev. , vol.91 , pp. 728-740
  • 9
    • 0001399048 scopus 로고
    • The theory of quantized fields IV
    • J. Schwinger, "The theory of quantized fields I," Phys. Rev. 82, 914-927 (1951); "The theory of quantized fields II," ibid. 91, 713-728 (1953); "The theory of quantized fields III," ibid. 91, 728-740 (1953); "The theory of quantized fields IV," ibid. 92, 1283-1299 (1953); "The theory of quantized fields V," ibid. 93, 615-628 (1954); "The theory of quantized fields VI," ibid. 94, 1362-1384 (1954).
    • (1953) Phys. Rev. , vol.92 , pp. 1283-1299
  • 10
    • 36149021934 scopus 로고
    • The theory of quantized fields V
    • J. Schwinger, "The theory of quantized fields I," Phys. Rev. 82, 914-927 (1951); "The theory of quantized fields II," ibid. 91, 713-728 (1953); "The theory of quantized fields III," ibid. 91, 728-740 (1953); "The theory of quantized fields IV," ibid. 92, 1283-1299 (1953); "The theory of quantized fields V," ibid. 93, 615-628 (1954); "The theory of quantized fields VI," ibid. 94, 1362-1384 (1954).
    • (1954) Phys. Rev. , vol.93 , pp. 615-628
  • 11
    • 36149016548 scopus 로고
    • The theory of quantized fields VI
    • J. Schwinger, "The theory of quantized fields I," Phys. Rev. 82, 914-927 (1951); "The theory of quantized fields II," ibid. 91, 713-728 (1953); "The theory of quantized fields III," ibid. 91, 728-740 (1953); "The theory of quantized fields IV," ibid. 92, 1283-1299 (1953); "The theory of quantized fields V," ibid. 93, 615-628 (1954); "The theory of quantized fields VI," ibid. 94, 1362-1384 (1954).
    • (1954) Phys. Rev. , vol.94 , pp. 1362-1384
  • 12
    • 0346783936 scopus 로고
    • Gebundene Teilchen und Streuprobleme in der Quantenfeldtheorie
    • E. Freese, "Gebundene Teilchen und Streuprobleme in der Quantenfeldtheorie," Z. Naturforsch. 8a, 776-790 (1951).
    • (1951) Z. Naturforsch. , vol.8 A , pp. 776-790
    • Freese, E.1
  • 15
    • 0003679678 scopus 로고
    • Orthogonal and symplectic Clifford algebras, spinor structures
    • Kluwer, Dordrecht
    • A. Crumeyrolle, "Orthogonal and symplectic Clifford algebras, spinor structures," Mathematics and its Applications (Kluwer, Dordrecht, 1990).
    • (1990) Mathematics and Its Applications
    • Crumeyrolle, A.1
  • 17
    • 0030541778 scopus 로고    scopus 로고
    • Vertex normal ordering as a consequence of nonsymmetric bilinearforms in Clifford algebras
    • B. Fauser, "Vertex normal ordering as a consequence of nonsymmetric bilinearforms in Clifford algebras," J. Math. Phys. 37, 72-83 (1996).
    • (1996) J. Math. Phys. , vol.37 , pp. 72-83
    • Fauser, B.1
  • 19
    • 0009552865 scopus 로고
    • Clifford numbers and spinors
    • Lecture Series No. 38, University of Maryland, edited by E. F. Bolinder and P. Lounesto Kluwer, Dordrecht, reprinted as a facsimile
    • M. Riesz, "Clifford numbers and spinors," The Institute of Fluid Dynamics and Applied Mathematics, Lecture Series No. 38, University of Maryland, 1958, edited by E. F. Bolinder and P. Lounesto (Kluwer, Dordrecht, 1993), reprinted as a facsimile.
    • (1958) The Institute of Fluid Dynamics and Applied Mathematics
    • Riesz, M.1
  • 21
    • 0002478005 scopus 로고    scopus 로고
    • Clifford algebraic remark on the Mandelbrot set of two-component number systems
    • B. Fauser, "Clifford algebraic remark on the Mandelbrot set of two-component number systems," Adv. Appl. Clifford Algebr. 6, 1-26 (1996).
    • (1996) Adv. Appl. Clifford Algebr. , vol.6 , pp. 1-26
    • Fauser, B.1
  • 23
    • 0002755108 scopus 로고
    • From Grassmann to Clifford
    • Workshop held at Canterbury, UK, edited by J. S. R. Chisholm and A. K. Common Kluwer, Dordrecht
    • Z. Oziewicz, "From Grassmann to Clifford," in Clifford Algebras and Their Application in Mathematical Physics, I, Workshop held at Canterbury, UK, edited by J. S. R. Chisholm and A. K. Common (Kluwer, Dordrecht, 1986), pp. 245-256.
    • (1986) Clifford Algebras and Their Application in Mathematical Physics , vol.1 , pp. 245-256
    • Oziewicz, Z.1
  • 24
    • 0007281288 scopus 로고
    • Positronium as an example of algebraic composite calculations
    • Advances in Applied Clifford Algebras, Cuautitlan, Mexico edited by J. Keller and Z. Oziewicz
    • B. Fauser and H. Stumpf, "Positronium as an example of algebraic composite calculations," in Proceedings of the International Conference on the Theory of the Electron, Advances in Applied Clifford Algebras, Cuautitlan, Mexico 1995, edited by J. Keller and Z. Oziewicz, 1997, Vol. 7(S), pp. 399-418.
    • (1995) Proceedings of the International Conference on the Theory of the Electron , vol.7 , Issue.S , pp. 399-418
    • Fauser, B.1    Stumpf, H.2
  • 26
    • 0003043790 scopus 로고    scopus 로고
    • On Clifford algebras of a bilinear form with an anti-symmetric part
    • edited by R. Ablamowicz, P. Lounesto, and J. M. Parra Birkhäuser, Boston
    • R. Ablamowicz and P. Lounesto, "On Clifford algebras of a bilinear form with an anti-symmetric part," in Clifford Algebras with Numeric and Symbolic Computations, edited by R. Ablamowicz, P. Lounesto, and J. M. Parra (Birkhäuser, Boston, 1996), pp. 167-188.
    • (1996) Clifford Algebras with Numeric and Symbolic Computations , pp. 167-188
    • Ablamowicz, R.1    Lounesto, P.2
  • 31
    • 51249169961 scopus 로고
    • Quantum algebras I
    • H. Sailer, "Quantum algebras I," Nuovo Cimento B 108, 603-630 (1993); "Quantum algebras II," ibid. 109, 255-280 (1994).
    • (1993) Nuovo Cimento B , vol.108 , pp. 603-630
    • Sailer, H.1
  • 32
    • 51249167078 scopus 로고
    • Quantum algebras II
    • H. Sailer, "Quantum algebras I," Nuovo Cimento B 108, 603-630 (1993); "Quantum algebras II," ibid. 109, 255-280 (1994).
    • (1994) Nuovo Cimento B , vol.109 , pp. 255-280
  • 34
    • 51249194141 scopus 로고
    • General theory of propagators
    • H. Umezawa and A. Visconti, "General theory of propagators," Nuovo Cimento 1, 1079-1103 (1955).
    • (1955) Nuovo Cimento , vol.1 , pp. 1079-1103
    • Umezawa, H.1    Visconti, A.2
  • 35
    • 0040946487 scopus 로고
    • On a new derivation of the equations for the Green's functions in quantum electrodynamics
    • in Russian
    • M. K. Polivanov, "On a new derivation of the equations for the Green's functions in quantum electrodynamics," Dokl. Akad. Nauk SSSR 100, 1061-1063 (1955) (in Russian)
    • (1955) Dokl. Akad. Nauk SSSR , vol.100 , pp. 1061-1063
    • Polivanov, M.K.1
  • 37
    • 36149020512 scopus 로고
    • Quantum field theory in terms of vacuum expectation values
    • A. S. Wightman, "Quantum field theory in terms of vacuum expectation values," Phys. Rev. 101, 860-866 (1956).
    • (1956) Phys. Rev. , vol.101 , pp. 860-866
    • Wightman, A.S.1
  • 40
    • 0004247737 scopus 로고    scopus 로고
    • Dirac theory from a field theoretic point of view
    • Workshop held at Aachen, edited by K. Habetha (Kluwer, Dordrecht, in press)
    • B. Fauser, "Dirac theory from a field theoretic point of view," in Clifford Algebras and Their Application in Mathematical Physics, IV, Workshop held at Aachen, edited by K. Habetha (Kluwer, Dordrecht, in press).
    • Clifford Algebras and Their Application in Mathematical Physics, IV
    • Fauser, B.1
  • 42
    • 0003604069 scopus 로고
    • Belfer Graduate School of Science, Yeshiva University New York
    • P. A. M. Dirac, "Lectures on quantum field theory," Belfer Graduate School of Science, Yeshiva University (New York, 1966).
    • (1966) Lectures on Quantum Field Theory
    • Dirac, P.A.M.1
  • 43
    • 0346158794 scopus 로고    scopus 로고
    • Resolution of constraints and gauge equivalence in algebraic Schrödinger representation of quantum electrodynamics
    • H. Stumpf and W. Pfister, "Resolution of constraints and gauge equivalence in algebraic Schrödinger representation of quantum electrodynamics," Z. Naturforsch. 51a, 1045-1066 (1996).
    • (1996) Z. Naturforsch. , vol.51 A , pp. 1045-1066
    • Stumpf, H.1    Pfister, W.2
  • 44
    • 0040563278 scopus 로고    scopus 로고
    • Algebraic Schrödinger representation of quantum chromodynamics in temporal gauge and resolution of constraints
    • H. Stumpf and W. Pfister, "Algebraic Schrödinger representation of quantum chromodynamics in temporal gauge and resolution of constraints," Z. Naturforsch. 52a, 220-240 (1997).
    • (1997) Z. Naturforsch. , vol.52 A , pp. 220-240
    • Stumpf, H.1    Pfister, W.2
  • 45
    • 21144461387 scopus 로고
    • Composite particle theory in quantum electrodynamics
    • H. Stumpf, B. Fauser, and W. Pfister, "Composite particle theory in quantum electrodynamics," Z. Naturforsch. 48a, 765-776 (1993).
    • (1993) Z. Naturforsch. , vol.48 A , pp. 765-776
    • Stumpf, H.1    Fauser, B.2    Pfister, W.3
  • 46
    • 0000889315 scopus 로고
    • Theory of charged vector mesons interacting with the electromagnetic field
    • T. D. Lee and C. N. Yang, "Theory of charged vector mesons interacting with the electromagnetic field," Phys. Rev. 128, 885-898 (1962).
    • (1962) Phys. Rev. , vol.128 , pp. 885-898
    • Lee, T.D.1    Yang, C.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.