SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Reviews in Mathematical Physics

Volumn 14, Issue 5, 2002, Pages 421-467

Schrödinger operators on homogeneous metric trees: Spectrum in gaps

(2) Sobolev, Alexander V a Solomyak, Michael b

a UNIVERSITY OF SUSSEX (United Kingdom)

b WEIZMANN INSTITUTE OF SCIENCE (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036019318 PISSN: 0129055X EISSN: None Source Type: Journal
DOI: 10.1142/S0129055X02001235 Document Type: Article

Times cited : (73)

References (21)

1
- 0000430599
- Eigenvalue branches of the Schrödinger operator H - λW in a gap of σ(H)
- (1989) Comm. Math. Phys. , vol.121 , pp. 291-321
- Alama, S.¹ Deift, P.A.² Hempel, R.³

2
- 0034555445
- A Mourre estimate for a Schrödinger operator on a binary tree
- (2000) Rev. Math. Phys. , vol.12 , Issue.12 , pp. 1655-1667
- Allard, C.¹ Froese, R.²

3
- 0002691917
- Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant
- Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations, Leningrad, 1989-90, Amer. Math. Soc., Providence, RI
- (1991) Adv. Soviet Math. , vol.7 , pp. 57-73
- Birman, M.Sh.¹

4
- 0002190712
- On the asymptotics of the discrete spectrum for certain singular differential operators
- English transl, in Topics in Math. Phys. 5 (1972)
- (1971) Probl. Mat. Fiz. , vol.5 , pp. 24-38
- Birman, M.Sh.¹ Borzov, V.V.²

5
- 51249167500
- Discrete spectrum of the perturbed Dirac operator
- (1994) Ark. Mat. , vol.32 , Issue.1 , pp. 13-32
- Birman, M.Sh.¹ Laptev, A.²

6
- 0030519305
- The negative discrete spectrum of a two-dimensional Schrödinger operator
- (1996) Comm. Pure Appl. Math. , vol.49 , Issue.9 , pp. 967-997

7
- 0032442510
- On the eigenvalue behaviour for a class of differential operators on semiaxis
- (1998) Math. Nachr. , vol.195 , pp. 17-46
- Birman, M.Sh.¹ Laptev, A.² Solomyak, M.³

8
- 0002380806
- Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory
- SSSR, Kiev, Russian, English translation in Amer. Math. Soc. Translations 114(2) (1980) 1-132
- (1974) Tenth Mathem. School, Izd. Inst. Mat. Akad. Nauk Ukrain , pp. 5-189
- Birman, M.Sh.¹ Solomyak, M.²

9
- 0002658615
- Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalizations
- Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations, Leningrad, 1989-90, Amer. Math. Soc., Providence, RI
- (1991) Adv. Soviet Math. , vol.7 , pp. 1-5

10
- 0348202152
- On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential
- (2000) J. d'Anal. Math. , vol.83 , pp. 337-391

11
- 0002067934
- Discrete spectrum in the gaps for perturbations of the magnetic Schrödinger operator
- Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations Leningrad, 1989-90, Amer. Math. Soc., Providence, RI
- (1991) Adv. Soviet Math. , vol.7 , pp. 75-84
- Birman, M.Sh.¹ Raikov, G.D.²

12
- 3042583355
- Hill's equation for a homogeneous tree
- electronic
- (1997) Electron. J. Differen. Equations , Issue.23 , pp. 30
- Carlson, R.¹

13
- 0009935877
- Nonclassical Sturm-Liouville problems and Schrödinger operators on radial trees
- electronic
- (2000) Electron. J. Differen. Equations , Issue.71 , pp. 24

14
- 0001538638
- On the existence of eigenvalues of the Schrödinger operator H - λW in a gap of σ(H)
- (1986) Comm. Math. Phys. , vol.103 , pp. 461-490
- Deift, P.A.¹ Hempel, R.²

15
- 0003421261
- John Wiley and Sons, Inc., New York-London-Sidney-Toronto
- (1971) An Introduction to the Probability Theory and Its Applications , vol.2
- Feller, W.¹

16
- 0000332636
- On the point spectrum of Dirac operators
- (1980) Helv. Phys. Acta , vol.53 , pp. 453-462
- Klaus, M.¹

17
- 33747018374
- Spectral asymptotics, renewal theorem, and the Berry conjecture for a class of fractals
- (1996) Proc. London Math. Soc. , vol.72 , Issue.3 , pp. 188-214
- Levitin, M.¹ Vassiliev, D.²

18
- 0000895957
- Eigenvalue estimates for the weighted Laplacian on metric trees
- (2000) Proc. London Math. Soc. , vol.80 , Issue.3 , pp. 690-724
- Naimark, K.¹ Solomyak, M.²

19
- 0009935444
- Geometry of the Sobolev spaces on the regular trees and Hardy's inequalities
- (2001) Russian J. Math. Physics , vol.8 , Issue.3

20
- 0009937905
- Scattering on the Bruhat-Tits tree I
- (1995) Phys. Lett. , vol.A198 , pp. 113-118
- Romanov, R.V.¹ Rudin, G.E.²

21
- 0001126677
- Weyl asymptotics for the discrete spectrum of the perturbed hill operator
- Estimates and Asymptotics for Discrete Spectra of Integral and Differential Equations, Leningrad, 1989-90, Amer. Math. Soc., Providence, RI
- (1991) Adv. Soviet Math. , vol.7 , pp. 159-178
- Sobolev, A.V.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.