Multidimensional Periodic Schrödinger Operator: Perturbation Theory and Applications
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Springer Tracts in Modern Physics
263 |
| Subjects: | |
| Online Access: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (X, 242 p.) |
| ISBN: | 9783319166438 |
| ISSN: | 1615-0430 |
| DOI: | 10.1007/978-3-319-16643-8 |
Staff View
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Record in the Search Index
| _version_ | 1804153211734458368 |
|---|---|
| adam_text | MULTIDIMENSIONAL PERIODIC SCHROEDINGER OPERATOR
/ VELIEV, OKTAY
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
ASYMPTOTIC FORMULAS FOR THE BLOCH EIGENVALUES AND BLOCH FUNCTIONS
CONSTRUCTIVE DETERMINATION OF THE SPECTRAL INVARIANTS
PERIODIC POTENTIAL FROM THE SPECTRAL INVARIANTS
CONCLUSIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MULTIDIMENSIONAL PERIODIC SCHROEDINGER OPERATOR
/ VELIEV, OKTAY
: 2015
ABSTRACT / INHALTSTEXT
THE BOOK DESCRIBES THE DIRECT PROBLEMS AND THE INVERSE PROBLEM OF THE
MULTIDIMENSIONAL SCHROEDINGER OPERATOR WITH A PERIODIC POTENTIAL. THIS
CONCERNS PERTURBATION THEORY AND CONSTRUCTIVE DETERMINATION OF THE
SPECTRAL INVARIANTS AND FINDING THE PERIODIC POTENTIAL FROM THE GIVEN
BLOCH EIGENVALUES. THE UNIQUE METHOD OF THIS BOOK DERIVES THE ASYMPTOTIC
FORMULAS FOR BLOCH EIGENVALUES AND BLOCH FUNCTIONS FOR ARBITRARY
DIMENSION. MOREOVER, THE MEASURE OF THE ISO-ENERGETIC SURFACES IN THE
HIGH ENERGY REGION IS CONSTRUCT AND ESTIMATED. IT IMPLIES THE VALIDITY
OF THE BETHE-SOMMERFELD CONJECTURE FOR ARBITRARY DIMENSIONS AND
ARBITRARY LATTICES. USING THE PERTURBATION THEORY CONSTRUCTED IN THIS
BOOK, THE SPECTRAL INVARIANTS OF THE MULTIDIMENSIONAL OPERATOR FROM THE
GIVEN BLOCH EIGENVALUES ARE DETERMINED. SOME OF THESE INVARIANTS ARE
EXPLICITLY EXPRESSED BY THE FOURIER COEFFICIENTS OF THE POTENTIAL. THIS
WAY THE POSSIBILITY TO DETERMINE THE POTENTIAL CONSTRUCTIVELY BY USING
BLOCH EIGENVALUES AS INPUT DATA IS GIVEN. IN THE END AN ALGORITHM FOR
THE UNIQUE DETERMINATION OF THE POTENTIAL IS GIVEN
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Veliev, Oktay |
| author_facet | Veliev, Oktay |
| author_role | aut |
| author_sort | Veliev, Oktay |
| author_variant | o v ov |
| building | Verbundindex |
| bvnumber | BV042481943 |
| classification_rvk | UD 9310 UK 3000 |
| classification_tum | PHY 000 |
| collection | ZDB-2-PHA |
| ctrlnum | (OCoLC)906211209 (DE-599)BVBBV042481943 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1007/978-3-319-16643-8 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:23:00Z |
| institution | BVB |
| isbn | 9783319166438 |
| issn | 1615-0430 |
| language | English |
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| publishDate | 2015 |
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| publisher | Springer |
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| series | Springer Tracts in Modern Physics |
| series2 | Springer Tracts in Modern Physics |
| spelling | Veliev, Oktay Verfasser aut Multidimensional Periodic Schrödinger Operator Perturbation Theory and Applications Oktay Veliev Cham [u.a.] Springer 2015 1 Online-Ressource (X, 242 p.) txt rdacontent c rdamedia cr rdacarrier Springer Tracts in Modern Physics 263 1615-0430 Physics Quantum theory Quantum Physics Solid State Physics Mathematical Physics Quantentheorie Hamilton-Operator (DE-588)4072278-8 gnd rswk-swf Bloch-Funktion (DE-588)4436775-2 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Hamilton-Operator (DE-588)4072278-8 s Bloch-Funktion (DE-588)4436775-2 s Störungstheorie (DE-588)4128420-3 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-16642-1 Springer Tracts in Modern Physics 263 (DE-604)BV013437585 263 https://doi.org/10.1007/978-3-319-16643-8 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916902&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916902&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Veliev, Oktay Multidimensional Periodic Schrödinger Operator Perturbation Theory and Applications Springer Tracts in Modern Physics Physics Quantum theory Quantum Physics Solid State Physics Mathematical Physics Quantentheorie Hamilton-Operator (DE-588)4072278-8 gnd Bloch-Funktion (DE-588)4436775-2 gnd Störungstheorie (DE-588)4128420-3 gnd |
| subject_GND | (DE-588)4072278-8 (DE-588)4436775-2 (DE-588)4128420-3 |
| title | Multidimensional Periodic Schrödinger Operator Perturbation Theory and Applications |
| title_auth | Multidimensional Periodic Schrödinger Operator Perturbation Theory and Applications |
| title_exact_search | Multidimensional Periodic Schrödinger Operator Perturbation Theory and Applications |
| title_full | Multidimensional Periodic Schrödinger Operator Perturbation Theory and Applications Oktay Veliev |
| title_fullStr | Multidimensional Periodic Schrödinger Operator Perturbation Theory and Applications Oktay Veliev |
| title_full_unstemmed | Multidimensional Periodic Schrödinger Operator Perturbation Theory and Applications Oktay Veliev |
| title_short | Multidimensional Periodic Schrödinger Operator |
| title_sort | multidimensional periodic schrodinger operator perturbation theory and applications |
| title_sub | Perturbation Theory and Applications |
| topic | Physics Quantum theory Quantum Physics Solid State Physics Mathematical Physics Quantentheorie Hamilton-Operator (DE-588)4072278-8 gnd Bloch-Funktion (DE-588)4436775-2 gnd Störungstheorie (DE-588)4128420-3 gnd |
| topic_facet | Physics Quantum theory Quantum Physics Solid State Physics Mathematical Physics Quantentheorie Hamilton-Operator Bloch-Funktion Störungstheorie |
| url | https://doi.org/10.1007/978-3-319-16643-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916902&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027916902&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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