Determining spectra in quantum theory/ (Record no. 164714)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01485cam a22003494a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780817643669 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CuS |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.7222 |
| Item number | DEM/D |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Demuth, Michael, |
| 245 10 - TITLE STATEMENT | |
| Title | Determining spectra in quantum theory/ |
| Statement of responsibility, etc. | Michael Demuth, M. Krishna. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Boston : |
| Name of publisher, distributor, etc. | Birkhäuser, |
| Date of publication, distribution, etc. | c2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | x, 219 p. ; |
| Dimensions | 25 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. [203]-213) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1 Measures and Transforms ................................. 1<br/>1.1 Measures .............. ................................. 1<br/>1.2 Fourier Transform ..................................... 5<br/>1.3 The Wavelet Transform ................................. 7<br/>1.4 Borel Transform .................. ...................... 16<br/>1.5 Gesztesy-Krein-Simon Function ......................... 24<br/>1.6 Notes ................. ............. ............ 25<br/>2 Selfadjointness and Spectrum .............................. 29<br/>2.1 Selfadjointness ........................... ............. 29<br/>2.1.1 Linear Operators and Their Inverses ................. 29<br/>2.1.2 Closed Operators ..................... .......... 30<br/>2.1.3 Adjoint and Selfadjoint Operators ................... 32<br/>2.1.4 Sums of Linear Operators .......................... 34<br/>2.1.5 Sesquilinear Forms ................................ 35<br/>2.2 Spectrum and Resolvent Sets ............................. 37<br/>2.3 Spectral Theorem ..................................... 40<br/>2.4 Spectral Measures and Spectrum .................. ....... 43<br/>2.5 Spectral Theorem in the Hahn-Hellinger Form .............. 45<br/>2.6 Components of the Spectrum ............................. 49<br/>2.7 Characterization of the States in Spectral Subspaces ......... 53<br/>2.8 Notes ................. ................... .......... 56<br/>3 Criteria for Identifying the Spectrum ...................... 59<br/>3.1 Borel Transform ...................................... 59<br/>3.2 Fourier Transform ..................................... 68<br/>3.3 Wavelet Transform ..................................... 69<br/>3.4 Eigenfunctions ....................................... 70<br/>3.5 Commutators ............................ ........... 72<br/>3.6 Criteria Using Scattering Theory ....................... .. 80<br/>3.6.1 Wave Operators .................................. 81<br/>3.6.2 Stability of the Absolutely Continuous Spectra ........ 95<br/>3.7 Notes .................................. ............104<br/>4 Operators of Interest ...................................... 111<br/>4.1 Unperturbed Operators ............... ............... . 111<br/>4.1.1 Laplacians ..................... .................112<br/>4.1.2 Unperturbed Semigroups and Their Kernels ..........119<br/>4.1.3 Associated Processes . ........................... 120<br/>4.1.4 Regular Dirichlet Forms, Capacities and Equilibrium<br/>Potentials ......................... ..............121<br/>4.2 Perturbed Operators ................ .................. 125<br/>4.2.1 Deterministic Potentials ......................... . 125<br/>4.2.2 Random Potentials ............................. . 133<br/>4.2.3 Singular Perturbations .......................... . 135<br/>4.3 Notes ................ .............................142<br/>5 Applications .............................................153<br/>5.1 Borel Transforms .......................................153<br/>5.1.1 K otani Theory .................................... 153<br/>5.1.2 Aizenman-Molchanov Method ...................... 160<br/>5.1.3 Bethe Lattice ..................................... 172<br/>5.1.4 Jaksid-Last Theorem ........................... . 181<br/>5.2 Scattering ..........................................183<br/>5.2.1 Decaying Random Potentials. ..................... .183<br/>5.2.2 Obstacles and Potentials ........................ . 187<br/>5.3 Notes ................................................196 |
| 650 #0 - SUBJECT | |
| Keyword | Potential theory (Mathematics) |
| 650 #0 - SUBJECT | |
| Keyword | Scattering (Mathematics) |
| 650 #0 - SUBJECT | |
| Keyword | Spectral theory (Mathematics) |
| 650 #0 - SUBJECT | |
| Keyword | Operator theory. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Krishna, M. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | 515.7222 DEM/D | P19627 | 29/08/2016 | General Books |