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Volumn 138, Issue 1, 2004, Pages 33-44

Local perturbations of the Schrödinger operator on the plane

Author keywords

Asymptotic behavior; Eigenvalue; Perturbation; Schr dinger operator; Small parameter

Indexed keywords


EID: 1642616380     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:TAMP.0000010631.40891.f0     Document Type: Article
Times cited : (12)

References (15)
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    • L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Nonrelativistic Theory [in Russian] (Course of Theoretical Physics, Vol. 3), Nauka, Moscow (1974); English transl., Pergamon, New York (1985); B. Simon, Ann. Phys., 97, 279-288 (1976).
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    • Landau, L.D.1    Lifshitz, E.M.2
  • 2
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    • L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Nonrelativistic Theory [in Russian] (Course of Theoretical Physics, Vol. 3), Nauka, Moscow (1974); English transl., Pergamon, New York (1985); B. Simon, Ann. Phys., 97, 279-288 (1976).
    • (1976) Ann. Phys. , vol.97 , pp. 279-288
    • Simon, B.1
  • 3
    • 0001330906 scopus 로고
    • M. Klaus, Ann. Phys., 108, 288-300 (1977); R. Blankenbecler, M. L. Goldberger, and B. Simon, Ann. Phys., 108, 69-78 (1977); M. Klaus and B. Simon, Ann. Phys., 130, 251-281 (1980).
    • (1977) Ann. Phys. , vol.108 , pp. 288-300
    • Klaus, M.1
  • 4
    • 49449119391 scopus 로고
    • M. Klaus, Ann. Phys., 108, 288-300 (1977); R. Blankenbecler, M. L. Goldberger, and B. Simon, Ann. Phys., 108, 69-78 (1977); M. Klaus and B. Simon, Ann. Phys., 130, 251-281 (1980).
    • (1977) Ann. Phys. , vol.108 , pp. 69-78
    • Blankenbecler, R.1    Goldberger, M.L.2    Simon, B.3
  • 5
    • 0001569069 scopus 로고
    • M. Klaus, Ann. Phys., 108, 288-300 (1977); R. Blankenbecler, M. L. Goldberger, and B. Simon, Ann. Phys., 108, 69-78 (1977); M. Klaus and B. Simon, Ann. Phys., 130, 251-281 (1980).
    • (1980) Ann. Phys. , vol.130 , pp. 251-281
    • Klaus, M.1    Simon, B.2
  • 7
    • 0034348828 scopus 로고    scopus 로고
    • D. E. Pelinovsky and C. Sulem, Theor. Math. Phys., 122, 98-106 (2000); Comm. Math. Phys., 208, 713-760 (2000); P. Zhevandrov and A. Merzon, "Asymptotics of eigenfunctions in shallow potential wells and related problems," in: Asymptotic Methods for Wave and Quantum Problems (AMS Transl. Ser. 2, Adv. Math. Sci, M. V. Karasev, ed.), Amer. Math. Soc., Providence, R. I. (2003), pp. 235-284; Morfismos, 6, 1-13 (2002).
    • (2000) Theor. Math. Phys. , vol.122 , pp. 98-106
    • Pelinovsky, D.E.1    Sulem, C.2
  • 8
    • 0034349844 scopus 로고    scopus 로고
    • D. E. Pelinovsky and C. Sulem, Theor. Math. Phys., 122, 98-106 (2000); Comm. Math. Phys., 208, 713-760 (2000); P. Zhevandrov and A. Merzon, "Asymptotics of eigenfunctions in shallow potential wells and related problems," in: Asymptotic Methods for Wave and Quantum Problems (AMS Transl. Ser. 2, Adv. Math. Sci, M. V. Karasev, ed.), Amer. Math. Soc., Providence, R. I. (2003), pp. 235-284; Morfismos, 6, 1-13 (2002).
    • (2000) Comm. Math. Phys. , vol.208 , pp. 713-760
  • 9
    • 0034348828 scopus 로고    scopus 로고
    • Asymptotics of eigenfunctions in shallow potential wells and related problems
    • (AMS Transl. Ser. 2, Adv. Math. Sci, M. V. Karasev, ed.), Amer. Math. Soc., Providence, R. I.
    • D. E. Pelinovsky and C. Sulem, Theor. Math. Phys., 122, 98-106 (2000); Comm. Math. Phys., 208, 713-760 (2000); P. Zhevandrov and A. Merzon, "Asymptotics of eigenfunctions in shallow potential wells and related problems," in: Asymptotic Methods for Wave and Quantum Problems (AMS Transl. Ser. 2, Adv. Math. Sci, M. V. Karasev, ed.), Amer. Math. Soc., Providence, R. I. (2003), pp. 235-284; Morfismos, 6, 1-13 (2002).
    • (2003) Asymptotic Methods for Wave and Quantum Problems , pp. 235-284
    • Zhevandrov, P.1    Merzon, A.2
  • 10
    • 0034348828 scopus 로고    scopus 로고
    • D. E. Pelinovsky and C. Sulem, Theor. Math. Phys., 122, 98-106 (2000); Comm. Math. Phys., 208, 713-760 (2000); P. Zhevandrov and A. Merzon, "Asymptotics of eigenfunctions in shallow potential wells and related problems," in: Asymptotic Methods for Wave and Quantum Problems (AMS Transl. Ser. 2, Adv. Math. Sci, M. V. Karasev, ed.), Amer. Math. Soc., Providence, R. I. (2003), pp. 235-284; Morfismos, 6, 1-13 (2002).
    • (2002) Morfismos , vol.6 , pp. 1-13
  • 12
    • 0003498504 scopus 로고
    • Fizmatgiz, Moscow
    • I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow (1971); English transl.: Tables of Integrals, Series, and Products, Acad. Press, New York (1980); H. Bateman and A. Erdélyi, eds., Higher Transcendental Functions (Based on notes left by H. Bateman), Vol. 2, McGraw-Hill, New York (1953).
    • (1971) Tables of Integrals, Sums, Series, and Products [in Russian]
    • Gradshtein, I.S.1    Ryzhik, I.M.2
  • 13
    • 0003498504 scopus 로고
    • English transl., Acad. Press, New York
    • I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow (1971); English transl.: Tables of Integrals, Series, and Products, Acad. Press, New York (1980); H. Bateman and A. Erdélyi, eds., Higher Transcendental Functions (Based on notes left by H. Bateman), Vol. 2, McGraw-Hill, New York (1953).
    • (1980) Tables of Integrals, Series, and Products
  • 14
    • 0003864328 scopus 로고
    • (Based on notes left by H. Bateman), McGraw-Hill, New York
    • I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow (1971); English transl.: Tables of Integrals, Series, and Products, Acad. Press, New York (1980); H. Bateman and A. Erdélyi, eds., Higher Transcendental Functions (Based on notes left by H. Bateman), Vol. 2, McGraw-Hill, New York (1953).
    • (1953) Higher Transcendental Functions , vol.2
    • Bateman, H.1    Erdélyi, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.