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Volumn 85, Issue 1, 2000, Pages 34-37

Born-Oppenheimer approximation near level crossing

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MAGNETIC FIELDS; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; QUANTUM THEORY; WAVE EQUATIONS;

EID: 0034226923     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.34     Document Type: Article
Times cited : (12)

References (26)
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  • 3
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    • P. Aventini and R. Seiler, Commun. Math. Phys. 41, 2 (1975); 41, 34 (1975); F. Bornemann, Homogenization in Time of Singularly Perturbed Mechanical Systems, Lecture Notes in Mathematics (Springer, Berlin, 1998), p. 1687; J. M. Combes, P. Duclos, and R. Seiler, in Rigorous Atomic and Molecular Physics, edited by G. Velo and A. Wightman (Plenum, New York, 1981); G. A. Hagedorn, Ann. Inst. Henri Poincaré A 47, 1-16 (1987); M. Klein, A. Martinez, R. Seiler, and X. P. Wang, Commun. Math. Phys. 144, 607-639 (1992).
    • (1975) Commun. Math. Phys. , vol.41 , pp. 34
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    • Bornemann, F.1
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    • P. Aventini and R. Seiler, Commun. Math. Phys. 41, 2 (1975); 41, 34 (1975); F. Bornemann, Homogenization in Time of Singularly Perturbed Mechanical Systems, Lecture Notes in Mathematics (Springer, Berlin, 1998), p. 1687; J. M. Combes, P. Duclos, and R. Seiler, in Rigorous Atomic and Molecular Physics, edited by G. Velo and A. Wightman (Plenum, New York, 1981); G. A. Hagedorn, Ann. Inst. Henri Poincaré A 47, 1-16 (1987); M. Klein, A. Martinez, R. Seiler, and X. P. Wang, Commun. Math. Phys. 144, 607-639 (1992).
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    • 0007011683 scopus 로고
    • P. Aventini and R. Seiler, Commun. Math. Phys. 41, 2 (1975); 41, 34 (1975); F. Bornemann, Homogenization in Time of Singularly Perturbed Mechanical Systems, Lecture Notes in Mathematics (Springer, Berlin, 1998), p. 1687; J. M. Combes, P. Duclos, and R. Seiler, in Rigorous Atomic and Molecular Physics, edited by G. Velo and A. Wightman (Plenum, New York, 1981); G. A. Hagedorn, Ann. Inst. Henri Poincaré A 47, 1-16 (1987); M. Klein, A. Martinez, R. Seiler, and X. P. Wang, Commun. Math. Phys. 144, 607-639 (1992).
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  • 7
    • 0001412929 scopus 로고
    • P. Aventini and R. Seiler, Commun. Math. Phys. 41, 2 (1975); 41, 34 (1975); F. Bornemann, Homogenization in Time of Singularly Perturbed Mechanical Systems, Lecture Notes in Mathematics (Springer, Berlin, 1998), p. 1687; J. M. Combes, P. Duclos, and R. Seiler, in Rigorous Atomic and Molecular Physics, edited by G. Velo and A. Wightman (Plenum, New York, 1981); G. A. Hagedorn, Ann. Inst. Henri Poincaré A 47, 1-16 (1987); M. Klein, A. Martinez, R. Seiler, and X. P. Wang, Commun. Math. Phys. 144, 607-639 (1992).
    • (1992) Commun. Math. Phys. , vol.144 , pp. 607-639
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    • 36749111080 scopus 로고
    • C. A. Mead, J. Chem. Phys. 78, 807 (1983); T. C. Thompson, D. G. Truhlar, and C. A. Mead, J. Chem. Phys. 82, 2392 (1985); T. C. Thompson and C. A. Mead, J. Chem. Phys. 82, 2409 (1985).
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    • Mead, C.A.1
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    • C. A. Mead, J. Chem. Phys. 78, 807 (1983); T. C. Thompson, D. G. Truhlar, and C. A. Mead, J. Chem. Phys. 82, 2392 (1985); T. C. Thompson and C. A. Mead, J. Chem. Phys. 82, 2409 (1985).
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    • C. A. Mead, J. Chem. Phys. 78, 807 (1983); T. C. Thompson, D. G. Truhlar, and C. A. Mead, J. Chem. Phys. 82, 2392 (1985); T. C. Thompson and C. A. Mead, J. Chem. Phys. 82, 2409 (1985).
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    • Thompson, T.C.1    Mead, C.A.2
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    • This is strictly true for |m| ≠ 1/2; the case \m\ ≠ 1/2 requires a special treatment; see, e.g., W. E. Boyce and R. C. Diprima, Elementary Differential Equations (Wiley, New York, 1997), 6th ed.
    • (1997) Elementary Differential Equations
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.