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1.

図書
図書
1. Singular perturbations of differential operators : solvable Schrödinger type operators (: pbk)
S. Albeverio, P. Kurasov
出版情報: Cambridge : Cambridge University Press, 2000, c1999  xiv, 429 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; v. 271
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2.

図書
図書
2. Parabolicity, volterra calculus, and conical singularities : a volume of advances in partial differential equations
Sergio Albeverio ... [et al.], editors
出版情報: Basel : Birkhäuser, c2002  ix, 358 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 138
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3.

図書
図書
3. Nonlinear hyperbolic equations, spectral theory, and wavelet transformations : a volume of advances in partial differential equations (:us ; :sz)
Sergio Albeverio ... [et al], editors
出版情報: Basel : Birkhäuser, c2003  [vii], 437 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 145
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4.

図書
図書
4. Operator methods in ordinary and partial differential equations : S. Kovalevsky Symposium, University of Stockholm, June 2000
Sergio Albeverio ... [at al.], editors
出版情報: Basel : Birkhäuser, c2002  xii, 422 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 132
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5.

図書
図書
5. Solvable models in quantum mechanics. 2nd ed
S. Albeverio ... [et al.] ; with an appendix by Pavel Exner
出版情報: Providence, R.I. : AMS Chelsea Pub., 2005  xiv, 488 p. ; 27 cm
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目次情報: 続きを見る
Preface to second edition
Preface
Introduction
The One-Center Point Interaction / Part I：
The One-Center Point Interaction in Three Dimensions / Chapter I.1：
Basic Properties / I.1.1：
Approximations by Means of Local as well as Nonlocal Scaled Short-Range Interactions / I.1.2：
Convergence of Eigenvalues and Resonances / I.1.3：
Stationary Scattering Theory / I.1.4：
Notes
Coulomb Plus One-Center Point Interaction in Three Dimensions / Chapter I.2：
Approximations by Means of Scaled Coulomb-Type Interactions / I.2.1：
The One-Center [delta]-Interaction in One Dimension / I.2.3：
Approximations by Means of Local Scaled Short-Range Interactions / I.3.1：
The One-Center [delta]'-Interaction in One Dimension / I.3.3：
The One-Center Point Interaction in Two Dimensions / Chapter I.5：
Point Interactions with a Finite Number of Centers / Part II：
Finitely Many Point Interactions in Three Dimensions / Chapter II.1：
Multiple Well Problems / II.1.1：
Finitely Many [delta]-Interactions in One Dimension / II.1.5：
Finitely Many [delta]'-Interactions in One Dimension / II.2.1：
Finitely Many Point Interactions in Two Dimensions / Chapter II.4：
Point Interactions with Infinitely Many Centers / Part III：
Infinitely Many Point Interactions in Three Dimensions / Chapter III.1：
Periodic Point Interactions / III.1.1：
Crystals / III.1.4：
Straight Polymers / III.1.5：
Monomolecular Layers / III.1.6：
Bragg Scattering / III.1.7：
Fermi Surfaces / III.1.8：
Crystals with Defects and Impurities / III.1.9：
Infinitely Many [delta]-Interactions in One Dimension / Chapter III.2：
Periodic [delta]-Interactions / III.2.1：
Half-Crystals / III.2.4：
Quasi-periodic [delta]-Interactions / III.2.5：
Crystals with Defects and Impurity Scattering / III.2.6：
Infinitely Many [delta]'-Interactions in One Dimension / Chapter III.3：
Infinitely Many Point Interactions in Two Dimensions / Chapter III.4：
Random Hamiltonians with Point Interactions / Chapter III.5：
Preliminaries / III.5.1：
Random Point Interactions in Three Dimensions / III.5.2：
Random Point Interactions in One Dimension / III.5.3：
Appendices
Self-Adjoint Extensions of Symmetric Operators / A：
Spectral Properties of Hamiltonians Defined as Quadratic Forms / B：
Schrodinger Operators with Interactions Concentrated Around Infinitely Many Centers / C：
Boundary Conditions for Schrodinger Operators on (0, [infinity]) / D：
Time-Dependent Scattering Theory for Point Interactions / E：
Dirichlet Forms for Point Interactions / F：
Point Interactions and Scales of Hilbert Spaces / G：
Nonstandard Analysis and Point Interactions / H：
A Very Short Introduction to Nonstandard Analysis / H.1：
Point Interactions Using Nonstandard Analysis / H.2：
Elements of Probability Theory / I：
Relativistic Point Interactions in One Dimension / J：
References
Index
K Seize ans apres
Bibliography
Errata and Addenda
Preface to second edition
Preface
Introduction
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