메뉴 건너뛰기




Volumn 338, Issue 2, 2008, Pages 1267-1281

p-Adic Schrödinger-type operator with point interactions

Author keywords

Self adjoint operators; C symmetry; p Adic analysis; p Adic Schr dinger type operator; p Adic wavelet basis; Point interactions; Pseudo Hermitian quantum mechanics

Indexed keywords


EID: 34948851347     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.06.016     Document Type: Article
Times cited : (11)

References (29)
  • 2
    • 34948865864 scopus 로고    scopus 로고
    • AMS Chelsea Publishing, Providence, RI
    • Albeverio S., Gesztesy F., Høegh-Krohn R., and Holden H. Solvable Models in Quantum Mechanics. second ed. (with an appendix by P. Exner) (2005), AMS Chelsea Publishing, Providence, RI
    • (2005)
    • Albeverio, S.1    Gesztesy, F.2    Høegh-Krohn, R.3    Holden, H.4
  • 4
    • 33748790430 scopus 로고    scopus 로고
    • Harmonic analysis in the p-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, p-adic wavelets, Tauberian theorems
    • Albeverio S., Khrennikov A.Yu., and Shelkovich V.M. Harmonic analysis in the p-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, p-adic wavelets, Tauberian theorems. J. Fourier Anal. Appl. 12 (2006) 394-425
    • (2006) J. Fourier Anal. Appl. , vol.12 , pp. 394-425
    • Albeverio, S.1    Khrennikov, A.Yu.2    Shelkovich, V.M.3
  • 5
    • 0003300938 scopus 로고    scopus 로고
    • Singular Perturbations of Differential Operators
    • Cambridge Univ. Press, Cambridge
    • Albeverio S., and Kurasov P. Singular Perturbations of Differential Operators. London Math. Soc. Lecture Note Ser. vol. 271 (2000), Cambridge Univ. Press, Cambridge
    • (2000) London Math. Soc. Lecture Note Ser. , vol.271
    • Albeverio, S.1    Kurasov, P.2
  • 6
    • 1842684759 scopus 로고    scopus 로고
    • Pseudo-differential operators with point interactions
    • Albeverio S., and Kurasov P. Pseudo-differential operators with point interactions. Lett. Math. Phys. 41 (1997) 79-92
    • (1997) Lett. Math. Phys. , vol.41 , pp. 79-92
    • Albeverio, S.1    Kurasov, P.2
  • 7
    • 3242726168 scopus 로고    scopus 로고
    • Pseudo-hermiticity and theory of singular perturbations
    • Albeverio S., and Kuzhel S. Pseudo-hermiticity and theory of singular perturbations. Lett. Math. Phys. 67 (2004) 223-238
    • (2004) Lett. Math. Phys. , vol.67 , pp. 223-238
    • Albeverio, S.1    Kuzhel, S.2
  • 8
    • 19944410512 scopus 로고    scopus 로고
    • One dimensional Schrödinger operators with P-symmetric zero-range potentials
    • Albeverio S., and Kuzhel S. One dimensional Schrödinger operators with P-symmetric zero-range potentials. J. Phys. A 38 (2005) 4975-4988
    • (2005) J. Phys. A , vol.38 , pp. 4975-4988
    • Albeverio, S.1    Kuzhel, S.2
  • 9
    • 30244548731 scopus 로고
    • Positive selfadjoint extensions of positive symmetric operators
    • Ando T., and Nishio K. Positive selfadjoint extensions of positive symmetric operators. Tohoku Math. J. 22 (1970) 65-75
    • (1970) Tohoku Math. J. , vol.22 , pp. 65-75
    • Ando, T.1    Nishio, K.2
  • 12
    • 32344444233 scopus 로고    scopus 로고
    • Calculation of the hidden symmetry operator for a PT-symmetric square well
    • Bender C.M., and Tan B. Calculation of the hidden symmetry operator for a PT-symmetric square well. J. Phys. A 39 (2006) 1945-1953
    • (2006) J. Phys. A , vol.39 , pp. 1945-1953
    • Bender, C.M.1    Tan, B.2
  • 13
    • 0344304607 scopus 로고    scopus 로고
    • Singular perturbations of self-adjoint operators
    • Derkach V., Hassi S., and de Snoo H. Singular perturbations of self-adjoint operators. Math. Phys. Anal. Geom. 6 (2003) 349-384
    • (2003) Math. Phys. Anal. Geom. , vol.6 , pp. 349-384
    • Derkach, V.1    Hassi, S.2    de Snoo, H.3
  • 14
    • 0002179607 scopus 로고
    • Generalized resolvents and the boundary value problems for Hermitian operators with gaps
    • Derkach V.A., and Malamud M.M. Generalized resolvents and the boundary value problems for Hermitian operators with gaps. J. Funct. Anal. 95 (1991) 1-95
    • (1991) J. Funct. Anal. , vol.95 , pp. 1-95
    • Derkach, V.A.1    Malamud, M.M.2
  • 15
    • 21844476436 scopus 로고    scopus 로고
    • 2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
    • 2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator. J. Math. Phys. 46 (2005) 063504-063526
    • (2005) J. Math. Phys. , vol.46 , pp. 063504-063526
    • Gunther, U.1    Stefani, F.2    Znojil, M.3
  • 20
    • 0347162107 scopus 로고    scopus 로고
    • Wavelet analysis as a p-adic spectral analysis
    • Kozyrev S.V. Wavelet analysis as a p-adic spectral analysis. Izv. Ross. Akad. Nauk Ser. Mat. 66 (2002) 149-158
    • (2002) Izv. Ross. Akad. Nauk Ser. Mat. , vol.66 , pp. 149-158
    • Kozyrev, S.V.1
  • 21
    • 34948875897 scopus 로고    scopus 로고
    • P-adic fractional differentiation operator with point interactions
    • Kuzhel S., and Torba S. P-adic fractional differentiation operator with point interactions. Methods Funct. Anal. Topology 13 (2007) 169-180
    • (2007) Methods Funct. Anal. Topology , vol.13 , pp. 169-180
    • Kuzhel, S.1    Torba, S.2
  • 22
    • 0035981958 scopus 로고    scopus 로고
    • Pseudo-hermiticity versus PT-symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
    • Mostafazadeh A. Pseudo-hermiticity versus PT-symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. J. Math. Phys. 43 (2002) 205-214
    • (2002) J. Math. Phys. , vol.43 , pp. 205-214
    • Mostafazadeh, A.1
  • 23
    • 0037363149 scopus 로고    scopus 로고
    • Pseudo-hermiticity and generalized PT and CPT-symmetries
    • Mostafazadeh A. Pseudo-hermiticity and generalized PT and CPT-symmetries. J. Math. Phys. 44 (2003) 979-989
    • (2003) J. Math. Phys. , vol.44 , pp. 979-989
    • Mostafazadeh, A.1
  • 24
    • 0011683848 scopus 로고    scopus 로고
    • A Krein-like formula for singular perturbations of self-adjoint operators and applications
    • Posilicano A. A Krein-like formula for singular perturbations of self-adjoint operators and applications. J. Funct. Anal. 183 (2001) 109-147
    • (2001) J. Funct. Anal. , vol.183 , pp. 109-147
    • Posilicano, A.1
  • 26
    • 33947227391 scopus 로고    scopus 로고
    • General aspects of PT-symmetric and P-self-adjoint quantum theory in a Krein space
    • Tanaka T. General aspects of PT-symmetric and P-self-adjoint quantum theory in a Krein space. J. Phys. A 39 (2006) 14175-14203
    • (2006) J. Phys. A , vol.39 , pp. 14175-14203
    • Tanaka, T.1
  • 29
    • 4043079246 scopus 로고    scopus 로고
    • Experiments in PT-symmetric quantum mechanics. Pseudo-Hermitian Hamiltonians in quantum physics
    • Znojil M. Experiments in PT-symmetric quantum mechanics. Pseudo-Hermitian Hamiltonians in quantum physics. Czechoslovak J. Phys. 54 (2004) 151-156
    • (2004) Czechoslovak J. Phys. , vol.54 , pp. 151-156
    • Znojil, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.