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Volumn 43, Issue 42, 2010, Pages

Imaginary cubic perturbation: Numerical and analytic study

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EID: 78649670557     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/42/425301     Document Type: Article
Times cited : (26)

References (28)
  • 2
    • 11544339752 scopus 로고    scopus 로고
    • Real spectra in non-Hermitian Hamiltonian having PT symmetry
    • Bender C M and Boettcher S 1998 Real spectra in non-Hermitian Hamiltonian having PT symmetry Phys. Rev. Lett. 80 5243-6
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 5243-5246
    • Bender, C.M.1    Boettcher, S.2
  • 3
    • 0035920075 scopus 로고    scopus 로고
    • Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics
    • Dorey P, Dunning C and Tateo R 2001 Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics J. Phys. A: Math. Gen. 34 L391
    • (2001) J. Phys. A: Math. Gen. , vol.34
    • Dorey, P.1    Dunning, C.2    Tateo, R.3
  • 5
    • 0036025753 scopus 로고    scopus 로고
    • On the reality of eigenvalues for a class of PT-symmetric oscillators
    • Shin L C 2002 On the reality of eigenvalues for a class of PT-symmetric oscillators Commun. Math. Phys. 229 543-64
    • (2002) Commun. Math. Phys. , vol.229 , pp. 543-564
    • Shin, L.C.1
  • 6
    • 77955536667 scopus 로고    scopus 로고
    • Order-dependent mappings: Strong-coupling behaviour from weakcoupling expansions in non-Hermitian theories
    • Zinn-Justin J and Jentschura U D 2010 Order-dependent mappings: Strong-coupling behaviour from weakcoupling expansions in non-Hermitian theories J. Math. Phys. 51 072106
    • (2010) J. Math. Phys. , vol.51 , pp. 072106
    • Zinn-Justin, J.1    Jentschura, U.D.2
  • 7
    • 0002129023 scopus 로고
    • Perturbation theory of odd anharmonic oscillators
    • Caliceti E, Graffi S and Maioli M 1980 Perturbation theory of odd anharmonic oscillators Commun. Math. Phys. 75 51-66
    • (1980) Commun. Math. Phys. , vol.75 , pp. 51-66
    • Caliceti, E.1    Graffi, S.2    Maioli, M.3
  • 8
    • 0034716865 scopus 로고    scopus 로고
    • Distributional Borel summability of odd anharmonic oscillators
    • Caliceti E 2000 Distributional Borel summability of odd anharmonic oscillators J. Phys. A: Math. Gen. 33 3753-70
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 3753-3770
    • Caliceti, E.1
  • 9
    • 0001918220 scopus 로고
    • Divergence of the perturbation-theory series and pseudoparticles
    • Lipatov L N 1977 Divergence of the perturbation-theory series and pseudoparticles JETP Lett. 25 104-7
    • (1977) JETP Lett. , vol.25 , pp. 104-107
    • Lipatov, L.N.1
  • 10
    • 0001044818 scopus 로고
    • Divergence of the perturbation-theory series and the quasi-classical theory
    • Lipatov L N 1977 Divergence of the perturbation-theory series and the quasi-classical theory Sov. Phys.-JETP 45 216-23
    • (1977) Sov. Phys.-JETP , vol.45 , pp. 216-223
    • Lipatov, L.N.1
  • 12
    • 0013163563 scopus 로고
    • Perturbation series at large orders in quantum mechanics and field theories: Application to the problem of resummation
    • Zinn-Justin J 1981 Perturbation series at large orders in quantum mechanics and field theories: application to the problem of resummation Phys. Rep. 70 109-67
    • (1981) Phys. Rep. , vol.70 , pp. 109-167
    • Zinn-Justin, J.1
  • 13
    • 84896060182 scopus 로고    scopus 로고
    • Generalized nonanalytic expansions, PT-symmetry and large order formulas for odd anharmonic oscillators
    • Jentschura U D, Surzhykov A and Zinn-Justin J 2009 Generalized nonanalytic expansions, PT-symmetry and large order formulas for odd anharmonic oscillators SIGMA 5 005
    • (2009) SIGMA , vol.5 , pp. 005
    • Jentschura, U.D.1    Surzhykov, A.2    Zinn-Justin, J.3
  • 15
    • 0035532258 scopus 로고    scopus 로고
    • Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes
    • Bender C M and Weniger E J 2001 Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes J. Math. Phys. 42 2167-83
    • (2001) J. Math. Phys. , vol.42 , pp. 2167-2183
    • Bender, C.M.1    Weniger, E.J.2
  • 16
    • 36749114106 scopus 로고
    • Summation of divergent series by order dependent mappings: Application to the anharmonic oscillator and critical exponents in field theory
    • Seznec R and Zinn-Justin J 1979 Summation of divergent series by order dependent mappings: application to the anharmonic oscillator and critical exponents in field theory J. Math. Phys. 20 1398-408
    • (1979) J. Math. Phys. , vol.20 , pp. 1398-1408
    • Seznec, R.1    Zinn-Justin, J.2
  • 20
    • 36049055534 scopus 로고
    • Anharmonic oscillator
    • Bender C M and Wu T T 1969 Anharmonic oscillator Phys. Rev. 184 1231-60
    • (1969) Phys. Rev. , vol.184 , pp. 1231-1260
    • Bender, C.M.1    Wu, T.T.2
  • 21
    • 0034623752 scopus 로고    scopus 로고
    • Spectral analysis of the complex cubic oscillator
    • Delabaere E and Trinh D T 2000 Spectral analysis of the complex cubic oscillator J. Phys. A: Math. Gen. 33 8771-96
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 8771-8796
    • Delabaere, E.1    Trinh, D.T.2
  • 22
    • 0001063394 scopus 로고
    • Convergence behavior of variational perturbation expansion-a method for locating Bender-Wu singularities
    • Kleinert H and Janke W 1995 Convergence behavior of variational perturbation expansion-a method for locating Bender-Wu singularities Phys. Lett. A 206 283-9
    • (1995) Phys. Lett. A , vol.206 , pp. 283-289
    • Kleinert, H.1    Janke, W.2
  • 25
    • 41849134698 scopus 로고    scopus 로고
    • Structure, time propagation and dissipative terms for resonances
    • arXiv:0711.1073 math-ph
    • Jentschura U D, Surzhykov A, Lubasch M and Zinn-Justin J 2008 Structure, time propagation and dissipative terms for resonances J. Phys. A: Math. Theor. 41 095302 (arXiv:0711.1073 [math-ph])
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 095302
    • Jentschura, U.D.1    Surzhykov, A.2    Lubasch, M.3    Zinn-Justin, J.4
  • 27
    • 0030578337 scopus 로고    scopus 로고
    • Improved convergence proof of the delta expansion and order dependent mappings
    • Guida R, Konishi L and Suzuki H 1996 Improved convergence proof of the delta expansion and order dependent mappings Ann. Phys. (NY) 249 109-45
    • (1996) Ann. Phys. (NY) , vol.249 , pp. 109-145
    • Guida, R.1    Konishi, L.2    Suzuki, H.3
  • 28
    • 0033582403 scopus 로고    scopus 로고
    • Airy function-exact WKB results for potentials of odd degree
    • Voros A 1999 Airy function-exact WKB results for potentials of odd degree J. Phys. A: Math. Gen. 32 1301-11
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 1301-1311
    • Voros, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.