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Volumn 30, Issue 18, 1997, Pages 6517-6524

On the ground state of regular polygonal billiards

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EID: 0031582753     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/18/025     Document Type: Article
Times cited : (20)

References (15)
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    • Richens, P.J.1    Berry, M.V.2
  • 3
    • 45949131024 scopus 로고
    • Billiards in polygons
    • Gutkin E 1986 Billiards in polygons Physica 19D 311
    • (1986) Physica , vol.19 D , pp. 311
    • Gutkin, E.1
  • 4
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    • An exactly soluble three body problem in one dimension
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    • (1980) Can. J. Phys. , vol.58 , pp. 719
    • Jung, C.1
  • 5
    • 36448999992 scopus 로고
    • Schrödinger equation for convex plane polygons: A tiling method for the derivation of eigenvalues and eigenfunctions
    • Amar V, Pauri M and Scotti A 1991 Schrödinger equation for convex plane polygons: a tiling method for the derivation of eigenvalues and eigenfunctions J. Math. Phys. 32 2442
    • (1991) J. Math. Phys. , vol.32 , pp. 2442
    • Amar, V.1    Pauri, M.2    Scotti, A.3
  • 6
    • 21144468945 scopus 로고
    • Schrödinger equation for convex plane polygons. II. A no-go theorem for plane waves representation of solutions
    • Amar V, Pauri M and Scotti A 1993 Schrödinger equation for convex plane polygons. II. A no-go theorem for plane waves representation of solutions J. Math. Phys. 34 3343
    • (1993) J. Math. Phys. , vol.34 , pp. 3343
    • Amar, V.1    Pauri, M.2    Scotti, A.3
  • 9
    • 0030491478 scopus 로고    scopus 로고
    • Zeta functions of nearly circular domains
    • Kvitsinsky A A 1996 Zeta functions of nearly circular domains J. Phys. A: Math. Gen. 29 6379
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 6379
    • Kvitsinsky, A.A.1
  • 10
    • 0000578842 scopus 로고
    • On functional determinants of Laplacians in polygons and simplicial complexes
    • Aurell E and Salomonson P 1994 On functional determinants of Laplacians in polygons and simplicial complexes Commun. Math. Phys. 165 233
    • (1994) Commun. Math. Phys. , vol.165 , pp. 233
    • Aurell, E.1    Salomonson, P.2
  • 13
    • 0040520288 scopus 로고
    • Zeta function of the Bessel operator on the negative real axis
    • Leseduarte S and Romeo A 1994 Zeta function of the Bessel operator on the negative real axis J. Phys. A: Math. Gen. 27 2483
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 2483
    • Leseduarte, S.1    Romeo, A.2
  • 14
    • 21344482276 scopus 로고
    • The polygon quantum-billiard problem
    • Liboff R L 1994 The polygon quantum-billiard problem J. Math. Phys. 35 596
    • (1994) J. Math. Phys. , vol.35 , pp. 596
    • Liboff, R.L.1
  • 15
    • 0039482654 scopus 로고
    • Arithmetical degeneracies in simple quantum systems
    • Itzykson C and Luck J M 1986 Arithmetical degeneracies in simple quantum systems J. Phys. A: Math. Gen. 19 211
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    • Itzykson, C.1    Luck, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.