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1.

図書

図書
森清原編
出版情報: 東京 : 日本図書館協会, 1961.4  734p ; 22cm
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2.

図書

図書
D. Hilbert著 ; 一松信訳・解説
出版情報: 東京 : 共立出版, 1969  141p ; 22cm
シリーズ名: 現代数学の系譜 / 正田建次郎, 吉田洋一監修 ; 4
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3.

図書

図書
小学館ランダムハウス英和大辞典編集委員会編
出版情報: 東京 : 小学館, 1979.1  13, 3048p ; 26cm
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4.

図書

図書
E.フィッシャー著 ; 桑田智訳
出版情報: 東京 : 広川書店, 1963.4  xvii, 337p, 図版[4]枚 ; 18cm
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5.

図書

図書
M.C. Fitting
出版情報: Amsterdam : North-Holland Pub. Co., 1969  191 p. ; 23 cm
シリーズ名: Studies in logic and the foundations of mathematics
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6.

図書

図書
Ed. by R.O. Gandy and C.M.E. [sic] Yates
出版情報: Amsterdam : North-Holland, 1971  xiv, 451 p ; 23 cm
シリーズ名: Studies in logic and the foundations of mathematics ; v. 61
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7.

図書

図書
[By] H. Jerome Keisler
出版情報: Amsterdam : North-Holland Pub. Co., 1971  x, 208 p. ; 23 cm
シリーズ名: Studies in logic and the foundations of mathematics ; v. 62
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8.

図書

図書
K. Kuratowski ; translated from French by J. Jaworowski
出版情報: New York : Academic Press, 1966-1968  2 v. ; 24 cm
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9.

図書

図書
Martin Schechter
出版情報: New York : North Holland, c1981  xx, 324 p. ; 24 cm
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目次情報: 続きを見る
Preface
Acknowledgments
A Message to the Reader
List of Symbols
One-Dimensional Motion / Chapter 1.:
Position / 1.1.:
Mathematical Expectation / 1.2.:
Momentum / 1.3.:
Energy / 1.4.:
Observables / 1.5.:
Operators / 1.6.:
Functions of Observables / 1.7.:
Self-Adjoint Operators / 1.8.:
Hilbert Space / 1.9.:
The Spectral Theorem / 1.10.:
Exercises
The Spectrum / Chapter 2.:
The Resolvent / 2.1.:
Finding the Spectrum / 2.2.:
The Position Operator / 2.3.:
The Momentum Operator / 2.4.:
The Energy Operator / 2.5.:
The Potential / 2.6.:
A Class of Functions / 2.7.:
The Spectrum of H / 2.8.:
The Essential Spectrum / Chapter 3.:
An Example / 3.1.:
A Calculation / 3.2.:
Finding the Eigenvalues / 3.3.:
The Domain of H / 3.4.:
Back to Hilbert Space / 3.5.:
Compact Operators / 3.6.:
Relative Compactness / 3.7.:
Proof of Theorem 3.7.5 / 3.8.:
The Negative Eigenvalues / Chapter 4.:
The Possibilities / 4.1.:
Forms Extensions / 4.2.:
The Remaining Proofs / 4.3.:
Negative Eigenvalues / 4.4.:
Existence of Bound States / 4.5.:
Existence of Infinitely Many Bound States / 4.6.:
Existence of Only a Finite Number of Bound States / 4.7.:
Another Criterion / 4.8.:
Estimating the Spectrum / Chapter 5.:
Introduction / 5.1.:
Some Crucial Lemmas / 5.2.:
A Lower Bound for the Spectrum / 5.3.:
Lower Bounds for the Essential Spectrum / 5.4.:
An Inequality / 5.5.:
Bilinear Forms / 5.6.:
Intervals Containing the Essential Spectrum / 5.7.:
Coincidence of the Essential Spectrum with an Interval / 5.8.:
The Harmonic Oscillator / 5.9.:
The Morse Potential / 5.10.:
Scattering Theory / Chapter 6.:
Time Dependence / 6.1.:
Scattering States / 6.2.:
Properties of the Wave Operators / 6.3.:
The Domains of the Wave Operators / 6.4.:
Local Singularities / 6.5.:
Long-Range Potentials / Chapter 7.:
The Coulomb Potential / 7.1.:
Some Examples / 7.2.:
The Estimates / 7.3.:
The Derivatives of V(x) / 7.4.:
The Relationship Between X[subscript t] and V(x) / 7.5.:
An Identity / 7.6.:
The Reduction / 7.7.:
Mollifiers / 7.8.:
Time-Independent Theory / Chapter 8.:
The Resolvent Method / 8.1.:
The Theory / 8.2.:
A Simple Criterion / 8.3.:
The Application / 8.4.:
Completeness / Chapter 9.:
Definition / 9.1.:
The Abstract Theory / 9.2.:
Some Identities / 9.3.:
Another Form / 9.4.:
The Unperturbed Resolvent Operator / 9.5.:
The Perturbed Operator / 9.6.:
Analytic Dependence / 9.7.:
Projections / 9.9.:
An Analytic Function Theorem / 9.10.:
The Combined Results / 9.11.:
Absolute Continuity / 9.12.:
The Intertwining Relations / 9.13.:
Strong Completeness / 9.14.:
The More Difficult Problem / 10.1.:
The Technique / 10.2.:
Verification for the Hamiltonian / 10.4.:
An Extension / 10.5.:
The Principle of Limiting Absorption / 10.6.:
Oscillating Potentials / Chapter 11.:
A Surprise / 11.1.:
The Hamiltonian / 11.2.:
A Variation / 11.3.:
Examples / 11.5.:
Eigenfunction Expansions / Chapter 12.:
The Usefulness / 12.1.:
The Problem / 12.2.:
Operators on L[superscript p] / 12.3.:
Weighted L[superscript p]-Spaces / 12.4.:
Extended Resolvents / 12.5.:
The Formulas / 12.6.:
Some Consequences / 12.7.:
Summary / 12.8.:
Restricted Particles / Chapter 13.:
A Particle Between Walls / 13.1.:
The Energy Levels / 13.2.:
Compact Resolvents / 13.3.:
One Opaque Wall / 13.4.:
Scattering on a Half-Line / 13.5.:
The Spectral Resolution for the Free Particle on a Half-Line / 13.6.:
Hard-Core Potentials / Chapter 14.:
Local Absorption / 14.1.:
The Modified Hamiltonian / 14.2.:
The Resolvent Operator for H[subscript 1] / 14.3.:
The Wave Operators W[subscript plus or minus] (H[subscript 1] H[subscript 0]) / 14.4.:
Propagation / 14.5.:
Proof of Theorem 14.5.1 / 14.6.:
Completeness of the Wave Operators W[subscript plus or minus], (H[subscript 1] H[subscript 0]) / 14.7.:
The Wave Operators W[subscript plus or minus] (H, H[subscript 1]) / 14.8.:
A Regularity Theorem / 14.9.:
A Family of Spaces / 14.10.:
The Invariance Principle / Chapter 15.:
A Simple Result / 15.1.:
Trace Class Operators / 15.3.:
The Abstract Theorem / 16.1.:
Hilbert--Schmidt Operators / 16.2.:
The Fourier Transform / 16.4.:
Exercises A
Exercises B / Appendix B.:
Holder's Inequality and Banach Space / Appendix C.:
Bibliography
Index
Preface
Acknowledgments
A Message to the Reader
10.

図書

図書
by J.L. Bell and A.B. Slomson
出版情報: Amsterdam : North-Holland Pub. Co., 1969  ix, 322 p. ; 23 cm
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