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Volumn 38, Issue 5, 2005, Pages 1039-1047

A differential method for bounding the ground state energy

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EID: 13744263392     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/5/006     Document Type: Article
Times cited : (7)

References (18)
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    • Lower bounds for quantum mechanical energy levels
    • Barnsley M 1978 Lower bounds for quantum mechanical energy levels J. Phys. A: Math. Gen. 11 55-68
    • (1978) J. Phys. A: Math. Gen. , vol.11 , pp. 55-68
    • Barnsley, M.1
  • 4
    • 0001012174 scopus 로고
    • Sur la vibration fondamentale d'une membrane
    • in French
    • Barta J 1937 Sur la vibration fondamentale d'une membrane C. R. Acad. Sci. Paris 204 472-3 (in French)
    • (1937) C. R. Acad. Sci. Paris , vol.204 , pp. 472-473
    • Barta, J.1
  • 5
    • 0008156102 scopus 로고
    • A class of lower bounds for Hamiltonian operators
    • Baumgartner B 1979 A class of lower bounds for Hamiltonian operators J. Phys. A: Math. Gen. 12 459-67
    • (1979) J. Phys. A: Math. Gen. , vol.12 , pp. 459-467
    • Baumgartner, B.1
  • 8
    • 13744256464 scopus 로고    scopus 로고
    • Private communication
    • Caffarel M 2004 Private communication
    • (2004)
    • Caffarel, M.1
  • 12
    • 0008089906 scopus 로고
    • Lower bounds for eigenvalues
    • Duffin R J 1947 Lower bounds for eigenvalues Phys. Rev. 71 827-8
    • (1947) Phys. Rev. , vol.71 , pp. 827-828
    • Duffin, R.J.1
  • 13
    • 0033427359 scopus 로고    scopus 로고
    • Nodal sets for groundstates of the Schrödinger with zero magnetic fields in a non simply connected domain
    • Helffer B, Hoffmann-Ostenhof T and Owen M 1999 Nodal sets for groundstates of the Schrödinger with zero magnetic fields in a non simply connected domain Commun. Math. Phys. 202 629-49
    • (1999) Commun. Math. Phys. , vol.202 , pp. 629-649
    • Helffer, B.1    Hoffmann-Ostenhof, T.2    Owen, M.3
  • 17
    • 0039770648 scopus 로고
    • The factorization method and ground state energy bounds
    • Schmutz M 1985 The factorization method and ground state energy bounds Phys. Lett. A 108 195-6
    • (1985) Phys. Lett. a , vol.108 , pp. 195-196
    • Schmutz, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.