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Volumn 49, Issue 2, 1997, Pages 299-327

The time slicing approximation of the fundamental solution for the Schrödinger equation with electromagnetic fields

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EID: 0031116390     PISSN: 00255645     EISSN: 18811167     Source Type: Journal    
DOI: 10.2969/jmsj/04920299     Document Type: Article
Times cited : (16)

References (12)
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  • 2
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  • 3
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    • A construction of the fundamental solution for the Schrodinger equation
    • D. Fujiwara, A construction of the fundamental solution for the Schrodinger equation, J. Analyse Math., 35 (1979), 41–96.
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    • Fujiwara, D.1
  • 4
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    • Remarks on convergence of some Feynman path integrals
    • D. Fujiwara, Remarks on convergence of some Feynman path integrals, Duke Math. J., 47 (1980), 559–600.
    • (1980) Duke Math. J. , vol.47 , pp. 559-600
    • Fujiwara, D.1
  • 5
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    • A remark on Taniguchi-Kumanogo theorem for product of Fourier integral operators, Pseudo-differential operators
    • Springer
    • D. Fujiwara, A remark on Taniguchi-Kumanogo theorem for product of Fourier integral operators, Pseudo-differential operators, Proc. Oberwolfach 1986, Lecture Notes in Math., 1256, Springer, 1987, pp. 135–153.
    • (1987) Proc. Oberwolfach 1986, Lecture Notes in Math. , vol.1256 , pp. 135-153
    • Fujiwara, D.1
  • 6
    • 84972537278 scopus 로고
    • The stationary phase method with an estimate of the remainder term on a space of large dimension
    • D. Fujiwara, The stationary phase method with an estimate of the remainder term on a space of large dimension, Nagoya Math. J., 124 (1991), 61–97.
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    • Fujiwara, D.1
  • 7
    • 0010886936 scopus 로고
    • Some Feynman path integrals as oscillatory integrals over a Sobolev manifold
    • Springer
    • D. Fujiwara, Some Feynman path integrals as oscillatory integrals over a Sobolev manifold, Lecture Notes in Math., 1540, Springer, 1993, pp. 39–53.
    • (1993) Lecture Notes in Math. , vol.1540 , pp. 39-53
    • Fujiwara, D.1
  • 8
    • 0010819153 scopus 로고
    • Some Feynman path integrals as oscillatory integrals over a Sobolev manifold
    • preprint, January
    • D. Fujiwara, Some Feynman path integrals as oscillatory integrals over a Sobolev manifold, preprint, January 1993.
    • (1993)
    • Fujiwara, D.1
  • 9
    • 0000175040 scopus 로고
    • On a construction of the fundamental solution for Schrodinger equations
    • H. Kitada, On a construction of the fundamental solution for Schrodinger equations, J. Fac. Sci. Univ. Tokyo Sec. IA, 27 (1980), 193–226.
    • (1980) J. Fac. Sci. Univ. Tokyo Sec. IA , vol.27 , pp. 193-226
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  • 10
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    • Trace ideals and their applications
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  • 11
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    • Remarks on Fujiwara’s stationary phase method on a space of large dimension with a phase function involving electromagnetic fields
    • T. Tsuchida, Remarks on Fujiwara’s stationary phase method on a space of large dimension with a phase function involving electromagnetic fields, Nagoya Math. J., 136 (1994), 157–189.
    • (1994) Nagoya Math. J. , vol.136 , pp. 157-189
    • Tsuchida, T.1
  • 12
    • 51249171749 scopus 로고
    • Schrodinger evolution equations with magnetic fields
    • K. Yajima, Schrodinger evolution equations with magnetic fields, J. Analyse Math., 56 (1991), 29–76.
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    • Yajima, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.