Semiclassical theory of shape resonances in quantum mechanics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
1989
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
399 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 78, Number 399 (second of 3 numbers) |
| Physical Description: | IV, 123 S. graph. Darst. |
Staff View
MARC
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| 100 | 1 | |a Hislop, Peter D. |d 1955- |e Verfasser |0 (DE-588)172139287 |4 aut | |
| 245 | 1 | 0 | |a Semiclassical theory of shape resonances in quantum mechanics |c P. D. Hislop and I. M. Sigal |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 1989 | |
| 300 | |a IV, 123 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 399 | |
| 500 | |a Volume 78, Number 399 (second of 3 numbers) | ||
| 650 | 7 | |a Mecanica Quantica (Teoria Quantica) |2 larpcal | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Quantum theory | |
| 650 | 4 | |a Resonance | |
| 650 | 4 | |a Schrödinger operator | |
| 650 | 0 | 7 | |a Quasiklassisches Modell |0 (DE-588)4318601-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Resonanz |0 (DE-588)4132123-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hamilton-Operator |0 (DE-588)4072278-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Hamilton-Operator |0 (DE-588)4072278-8 |D s |
| 689 | 0 | 1 | |a Resonanz |0 (DE-588)4132123-6 |D s |
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| 689 | 1 | 1 | |a Hamilton-Operator |0 (DE-588)4072278-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Sigal, Israel Michael |d 1945- |e Verfasser |0 (DE-588)110612043 |4 aut | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 399 |w (DE-604)BV008000141 |9 399 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-000802739 | ||
Record in the Search Index
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| adam_text | Table or Contents
Section Page
1. Introduction 1
List of Symbols 10
2. The Model and the Approximate Hamiltonian 14
3. Preliminaries: The Spectra of H (A) and H(X) 22
I. The Distorted Hamiltonians 30
5. Harmonic Approximation 42
6. Existence of Resonances 53
7. Exponential Decay of Eigenfunctions 61
8. Width of the Resonances 69
9. Comments 83
10. Appendix A: Proof of Theorem 6.2 88
II. Appendix B: Uniform Boundedness of the Resolvent of the
Reduced Hamiltonian 106
Supplement: The Spectra of the Distorted Hamiltonians 112
References 121
|
| any_adam_object | 1 |
| author | Hislop, Peter D. 1955- Sigal, Israel Michael 1945- |
| author_GND | (DE-588)172139287 (DE-588)110612043 |
| author_facet | Hislop, Peter D. 1955- Sigal, Israel Michael 1945- |
| author_role | aut aut |
| author_sort | Hislop, Peter D. 1955- |
| author_variant | p d h pd pdh i m s im ims |
| building | Verbundindex |
| bvnumber | BV001328211 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
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| callnumber-search | QA3 QC174.17.S3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_tum | PHY 022f |
| ctrlnum | (OCoLC)19270561 (DE-599)BVBBV001328211 |
| dewey-full | 530.1/2 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics 510 - Mathematics |
| dewey-raw | 530.1/2 510 |
| dewey-search | 530.1/2 510 |
| dewey-sort | 3530.1 12 |
| dewey-tens | 530 - Physics 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV001328211 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:27:20Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000802739 |
| oclc_num | 19270561 |
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| physical | IV, 123 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | American Mathematical Society |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Hislop, Peter D. 1955- Verfasser (DE-588)172139287 aut Semiclassical theory of shape resonances in quantum mechanics P. D. Hislop and I. M. Sigal Providence, R.I. American Mathematical Society 1989 IV, 123 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 399 Volume 78, Number 399 (second of 3 numbers) Mecanica Quantica (Teoria Quantica) larpcal Quantentheorie Quantum theory Resonance Schrödinger operator Quasiklassisches Modell (DE-588)4318601-4 gnd rswk-swf Resonanz (DE-588)4132123-6 gnd rswk-swf Hamilton-Operator (DE-588)4072278-8 gnd rswk-swf Hamilton-Operator (DE-588)4072278-8 s Resonanz (DE-588)4132123-6 s Quasiklassisches Modell (DE-588)4318601-4 s DE-604 Sigal, Israel Michael 1945- Verfasser (DE-588)110612043 aut American Mathematical Society: Memoirs of the American Mathematical Society 399 (DE-604)BV008000141 399 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000802739&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hislop, Peter D. 1955- Sigal, Israel Michael 1945- Semiclassical theory of shape resonances in quantum mechanics American Mathematical Society: Memoirs of the American Mathematical Society Mecanica Quantica (Teoria Quantica) larpcal Quantentheorie Quantum theory Resonance Schrödinger operator Quasiklassisches Modell (DE-588)4318601-4 gnd Resonanz (DE-588)4132123-6 gnd Hamilton-Operator (DE-588)4072278-8 gnd |
| subject_GND | (DE-588)4318601-4 (DE-588)4132123-6 (DE-588)4072278-8 |
| title | Semiclassical theory of shape resonances in quantum mechanics |
| title_auth | Semiclassical theory of shape resonances in quantum mechanics |
| title_exact_search | Semiclassical theory of shape resonances in quantum mechanics |
| title_full | Semiclassical theory of shape resonances in quantum mechanics P. D. Hislop and I. M. Sigal |
| title_fullStr | Semiclassical theory of shape resonances in quantum mechanics P. D. Hislop and I. M. Sigal |
| title_full_unstemmed | Semiclassical theory of shape resonances in quantum mechanics P. D. Hislop and I. M. Sigal |
| title_short | Semiclassical theory of shape resonances in quantum mechanics |
| title_sort | semiclassical theory of shape resonances in quantum mechanics |
| topic | Mecanica Quantica (Teoria Quantica) larpcal Quantentheorie Quantum theory Resonance Schrödinger operator Quasiklassisches Modell (DE-588)4318601-4 gnd Resonanz (DE-588)4132123-6 gnd Hamilton-Operator (DE-588)4072278-8 gnd |
| topic_facet | Mecanica Quantica (Teoria Quantica) Quantentheorie Quantum theory Resonance Schrödinger operator Quasiklassisches Modell Resonanz Hamilton-Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000802739&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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