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Volumn 44, Issue 5, 2003, Pages 1913-1936

The discretized harmonic oscillator: Mathieu functions and a new class of generalized Hermite polynomials

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037570889     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1561156     Document Type: Article
Times cited : (17)

References (34)
  • 3
    • 0038109126 scopus 로고    scopus 로고
    • quant-ph/0202047
    • Y. Meurice, quant-ph/0202047.
    • Meurice, Y.1
  • 12
    • 0003519536 scopus 로고
    • Springer-Verlag, Berlin-Göttingen-Heidelberg. A more accessible textbook by Professor McLachlan was published originally in 1947
    • J. Meixner and F. W. Schäfke, "Mathieusche funktionen und sphäroidfunktionen" Die Grundlehren der Mathematische Wissenschaften (Springer-Verlag, Berlin-Göttingen-Heidelberg, 1954), Vol. 71. A more accessible textbook by Professor McLachlan was published originally in 1947. N. W. McLachlan, Theory and Application of Mathieu Functions, coor. ed. (Dover, New York, 1964).
    • (1954) Mathieusche Funktionen und Sphäroidfunktionen" Die Grundlehren der Mathematische Wissenschaften , vol.71
    • Meixner, J.1    Schäfke, F.W.2
  • 13
    • 0004119596 scopus 로고
    • coor. ed. Dover, New York
    • J. Meixner and F. W. Schäfke, "Mathieusche funktionen und sphäroidfunktionen" Die Grundlehren der Mathematische Wissenschaften (Springer-Verlag, Berlin-Göttingen-Heidelberg, 1954), Vol. 71. A more accessible textbook by Professor McLachlan was published originally in 1947. N. W. McLachlan, Theory and Application of Mathieu Functions, coor. ed. (Dover, New York, 1964).
    • (1964) Theory and Application of Mathieu Functions
    • McLachlan, N.W.1
  • 21
    • 0038109121 scopus 로고    scopus 로고
    • math.QA/0101216
    • V. V. Borzov, math.QA/0101216.
    • Borzov, V.V.1
  • 23
    • 0038109124 scopus 로고
    • math.CA/9307224; SIAM OP-SF 25
    • M. Rosenbaum, math.CA/9307224, 1993; SIAM OP-SF 25.
    • (1993)
    • Rosenbaum, M.1
  • 24
  • 25
  • 27
    • 0038786009 scopus 로고    scopus 로고
    • quant-ph/9901009
    • H. I. Elim, quant-ph/9901009.
    • Elim, H.I.1
  • 28
    • 0011519298 scopus 로고
    • Mathieu functions and spheroidal functions and their mathematical foundations
    • Springer-Verlag, Berlin-Heidelberg-New York
    • J. Meixner, F. W. Schäfke, and G. Wolf, Mathieu Functions and Spheroidal Functions and their Mathematical Foundations, Lecture notes in Mathematics, Vol. 837 (Springer-Verlag, Berlin-Heidelberg-New York, 1980).
    • (1980) Lecture Notes in Mathematics , vol.837
    • Meixner, J.1    Schäfke, F.W.2    Wolf, G.3
  • 30
    • 0037771588 scopus 로고    scopus 로고
    • cond-mat/0206507
    • M. Aunola, cond-mat/0206507, 2002.
    • (2002)
    • Aunola, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.