Advances in one-dimensional wave mechanics: towards a unified classical view
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Shanghai
Jiao Tong Univ. Press
2014
Berlin ; Heidelberg [u.a.] Springer |
| Schlagworte: | |
| Online-Zugang: | Cover Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben. - Hergestellt on demand |
| Beschreibung: | IX, 145 S. graph. Darst. 24 cm |
| ISBN: | 9787313101471 9783642408908 9783642408915 3642408907 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV041886779 | ||
| 003 | DE-604 | ||
| 005 | 20140702 | ||
| 007 | t | ||
| 008 | 140530s2014 d||| |||| 00||| eng d | ||
| 015 | |a 13,N35 |2 dnb | ||
| 015 | |a 14,A11 |2 dnb | ||
| 016 | 7 | |a 1038373166 |2 DE-101 | |
| 020 | |a 9787313101471 |c Pp. |9 978-7-313-10147-1 | ||
| 020 | |a 9783642408908 |c Pp. : ca. EUR 90.90 (DE, freier Pr.) |9 978-3-642-40890-8 | ||
| 020 | |a 9783642408915 |c eBook |9 978-3-642-40891-5 | ||
| 020 | |a 3642408907 |9 3-642-40890-7 | ||
| 024 | 3 | |a 9783642408908 | |
| 035 | |a (OCoLC)864536169 | ||
| 035 | |a (DE-599)DNB1038373166 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-11 |a DE-20 | ||
| 082 | 0 | |a 530.124 |2 22/ger | |
| 082 | 0 | |a 530 | |
| 084 | |a UK 2000 |0 (DE-625)145798: |2 rvk | ||
| 084 | |a UP 1400 |0 (DE-625)146347: |2 rvk | ||
| 100 | 1 | |a Cao, Zhuangqi |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Advances in one-dimensional wave mechanics |b towards a unified classical view |c Zhuangqi Cao ; Cheng Yin |
| 264 | 1 | |a Shanghai |b Jiao Tong Univ. Press |c 2014 | |
| 264 | 1 | |a Berlin ; Heidelberg [u.a.] |b Springer | |
| 300 | |a IX, 145 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturangaben. - Hergestellt on demand | ||
| 650 | 0 | 7 | |a Wellenmechanik |0 (DE-588)4127857-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Wellenmechanik |0 (DE-588)4127857-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Yin, Cheng |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |a Cao, Zhuangqi |t Advances in One-Dimensional Wave Mechanics |
| 856 | 4 | 2 | |m V:DE-576;X:springer |q image/jpeg |u http://swbplus.bsz-bw.de/bsz402925289cov.htm |3 Cover |
| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=4420171&prov=M&dok%5Fvar=1&dok%5Fext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027330789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027330789 | |
Datensatz im Suchindex
| _version_ | 1809769766160695296 |
|---|---|
| adam_text |
CONTENTS
1 ANALOGY BETWEEN QUANTUM MECHANICS AND OPTICS 1
1.1 WAVE EQUATION 2
1.1.1 ONE-DIMENSIONAL SCALAR WAVE EQUATION 2
1.1.2 ONE-DIMENSIONAL STATIONARY SCHRODINGER EQUATION 4
1.2 OPTICAL WAVEGUIDE AND QUANTUM WELL 5
1.2.1 ASYMMETRIC OPTICAL WAVEGUIDE 6
1.2.2 ASYMMETRIC SQUARE POTENTIAL WELL 7
1.3 TUNNELING EFFECT 8
1.3.1 OPTICAL ENERGY COUPLING STRUCTURE 9
1.3.2 BARRIER TUNNELING 10
1.4 SQUARE-LAW DISTRIBUTION 12
1.4.1 OPTICAL WAVEGUIDE WITH SQUARE-LAW-DISTRIBUTED
REFRACTIVE INDEX 12
1.4.2 HARMONIC OSCILLATOR 13
REFERENCES 14
2 ANALYTICAL TRANSFER MATRIX METHOD 15
2.1 BASIC CHARACTERISTICS OF THE TRANSFER MATRIX 16
2.1.1 ESTABLISH A TRANSFER MATRIX 16
2.1.2 BASIC CHARACTERISTICS OF THE TRANSFER MATRIX 19
2.2 SOLVING SIMPLE ONE-DIMENSIONAL PROBLEMS 24
2.2.1 ASYMMETRIC RECTANGULAR POTENTIAL WELL 24
2.2.2 TUNNELING COEFFICIENT OF RECTANGULAR BARRIER 25
REFERENCES 25
3 SEMICLASSICAL APPROXIMATION 27
3.1 WKB WAVE FUNCTION 28
3.2 SEMICLASSICAL LIMIT 33
3.3 CONNECTION FORMULAS AT TURNING POINTS 34
VII
HTTP://D-NB.INFO/1038373166
VIII CONTENTS
3.4 APPLICATION OF THE WKB APPROXIMATION 37
3.4.1 BOUND STATE IN A POTENTIAL WELL 37
3.4.2 BARRIER TUNNELING 39
3.4.3 SOME RELATED TOPICS 41
REFERENCES 44
4 EXACT QUANTIZATION CONDITION VIA ANALYTICAL TRANSFER
MATRIX METHOD 47
4.1 DOUBLE-WELL POTENTIALS 48
4.2 ONE-DIMENSIONAL POTENTIAL OF ARBITRARY SHAPE 51
4.2.1 ANALYSIS OF ONE-DIMENSIONAL PROBLEMS
VIA TRANSFER MATRIX 51
4.2.2 PHASE SHIFT AT CLASSICAL TURNING POINTS 56
4.2.3 PHASE CONTRIBUTION OF SCATTERED SUBWAVES 57
4.2.4 EIGENVALUE EQUATION 58
4.2.5 THE CALCULATION OF THE WAVE FUNCTION 60
4.2.6 ACCIDENTAL EVENT OF THE WKB APPROXIMATION 61
4.3 ENERGY SPLITTING IN SYMMETRIC DOUBLE-WELL POTENTIALS 62
4.3.1 ONE-DIMENSIONAL SQUARE DOUBLE-WELL POTENTIAL 62
4.3.2 ONE-DIMENSIONAL SYMMETRIC DOUBLE-WELL
POTENTIALS 64
4.4 EXAMPLE OF THE LENNARD-JONES POTENTIAL 66
4.5 DIRECT DERIVATION OF THE EXACT QUANTIZATION CONDITION 69
REFERENCES 72
5 BARRIER TUNNELING 75
5.1 ONE-DIMENSIONAL ARBITRARY CONTINUOUS BARRIER 76
5.1.1 ATM REFLECTION COEFFICIENT WITH A CONSTANT
EFFECTIVE MASS 76
5.1.2 THE CASE OF M = 1 AND M = 2 81
5.1.3 CONTINUOUS POTENTIAL AT THE REFERENCE POINT 83
5.2 COMPARED WITH WKB APPROXIMATION 84
5.2.1 BARRIER WITH ADJACENT WELLS 84
5.2.2 BAND-PASS FILTER BASED ON A GAUSSIAN-MODULATED
SUPERLATTICE 86
5.3 ONE-DIMENSIONAL ARBITRARY CONTINUOUS BARRIER WITH
POSITION-DEPENDENT EFFECTIVE MASS 88
5.3.1 DERIVATION OF REFLECTION COEFFICIENT 88
5.3.2 THE SEMICONDUCTOR SINGLE BARRIER STRUCTURE 93
5.3.3 SEMICONDUCTOR DOUBLE-BARRIER STRUCTURE
WITH NONLINEAR POTENTIAL 94
REFERENCES 95
CONTENTS IX
6 THE SCATTERED SUBWAVES 97
6.1 BASIC CONCEPT 98
6.1.1 CONCEPTUAL DIFFERENCE OF THE WAVE VECTOR 98
6.1.2 NUMERICAL COMPARISON OF THE TOTAL WAVENUMBER
AND THE MAIN WAVENUMBER 99
6.2 THE SCATTERED SUBWAVES AND THE QUANTUM REFLECTION 100
6.2.1 RESEARCH PROGRESS IN QUANTUM REFLECTION 101
6.2.2 EXPLANATION BY THE ATM METHOD 102
6.3 TIME ISSUE IN ONE-DIMENSIONAL SCATTERING 109
6.3.1 BARRIER TUNNELING TIME AND THE HARTMAN EFFECT 109
6.3.2 ANALOGY BETWEEN ELECTRON TUNNELING
AND ELECTROMAGNETIC TUNNELING 112
6.3.3 REINTERPRETATION OF THE PHASE TIME 114
6.3.4 GENERALIZED EXPRESSION FOR REFLECTION TIME 116
6.3.5 GENERAL TRANSMISSION TIME 122
6.3.6 SCATTERED SUBWAVES AND THE HARTMAN EFFECT 126
6.4 SCATTERED SUBWAVES AND THE SUPERSYMMETRIC QUANTUM
MECHANICS 129
6.4.1 BRIEF INTRODUCTION OF SUPERSYMMETRIC QUANTUM
MECHANICS 130
6.4.2 SWKB APPROXIMATION 132
6.4.3 CONSIDERATION OF THE SCATTERED SUBWAVES 134
6.4.4 WHY IS SWKB QUANTIZATION CONDITION EXACT? 141
REFERENCES 144 |
| any_adam_object | 1 |
| author | Cao, Zhuangqi Yin, Cheng |
| author_facet | Cao, Zhuangqi Yin, Cheng |
| author_role | aut aut |
| author_sort | Cao, Zhuangqi |
| author_variant | z c zc c y cy |
| building | Verbundindex |
| bvnumber | BV041886779 |
| classification_rvk | UK 2000 UP 1400 |
| ctrlnum | (OCoLC)864536169 (DE-599)DNB1038373166 |
| dewey-full | 530.124 530 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.124 530 |
| dewey-search | 530.124 530 |
| dewey-sort | 3530.124 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV041886779</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140702</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">140530s2014 d||| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">13,N35</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">14,A11</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1038373166</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9787313101471</subfield><subfield code="c">Pp.</subfield><subfield code="9">978-7-313-10147-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642408908</subfield><subfield code="c">Pp. : ca. EUR 90.90 (DE, freier Pr.)</subfield><subfield code="9">978-3-642-40890-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642408915</subfield><subfield code="c">eBook</subfield><subfield code="9">978-3-642-40891-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3642408907</subfield><subfield code="9">3-642-40890-7</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783642408908</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)864536169</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1038373166</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-11</subfield><subfield code="a">DE-20</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.124</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UK 2000</subfield><subfield code="0">(DE-625)145798:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UP 1400</subfield><subfield code="0">(DE-625)146347:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cao, Zhuangqi</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Advances in one-dimensional wave mechanics</subfield><subfield code="b">towards a unified classical view</subfield><subfield code="c">Zhuangqi Cao ; Cheng Yin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Shanghai</subfield><subfield code="b">Jiao Tong Univ. Press</subfield><subfield code="c">2014</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Heidelberg [u.a.]</subfield><subfield code="b">Springer</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 145 S.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">24 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturangaben. - Hergestellt on demand</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wellenmechanik</subfield><subfield code="0">(DE-588)4127857-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wellenmechanik</subfield><subfield code="0">(DE-588)4127857-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yin, Cheng</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="a">Cao, Zhuangqi</subfield><subfield code="t">Advances in One-Dimensional Wave Mechanics</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">V:DE-576;X:springer</subfield><subfield code="q">image/jpeg</subfield><subfield code="u">http://swbplus.bsz-bw.de/bsz402925289cov.htm</subfield><subfield code="3">Cover</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=4420171&prov=M&dok%5Fvar=1&dok%5Fext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027330789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027330789</subfield></datafield></record></collection> |
| id | DE-604.BV041886779 |
| illustrated | Illustrated |
| indexdate | 2024-09-10T01:15:43Z |
| institution | BVB |
| isbn | 9787313101471 9783642408908 9783642408915 3642408907 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027330789 |
| oclc_num | 864536169 |
| open_access_boolean | |
| owner | DE-11 DE-20 |
| owner_facet | DE-11 DE-20 |
| physical | IX, 145 S. graph. Darst. 24 cm |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Jiao Tong Univ. Press Springer |
| record_format | marc |
| spelling | Cao, Zhuangqi Verfasser aut Advances in one-dimensional wave mechanics towards a unified classical view Zhuangqi Cao ; Cheng Yin Shanghai Jiao Tong Univ. Press 2014 Berlin ; Heidelberg [u.a.] Springer IX, 145 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturangaben. - Hergestellt on demand Wellenmechanik (DE-588)4127857-4 gnd rswk-swf Wellenmechanik (DE-588)4127857-4 s DE-604 Yin, Cheng Verfasser aut Erscheint auch als Online-Ausgabe Cao, Zhuangqi Advances in One-Dimensional Wave Mechanics V:DE-576;X:springer image/jpeg http://swbplus.bsz-bw.de/bsz402925289cov.htm Cover X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4420171&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027330789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cao, Zhuangqi Yin, Cheng Advances in one-dimensional wave mechanics towards a unified classical view Wellenmechanik (DE-588)4127857-4 gnd |
| subject_GND | (DE-588)4127857-4 |
| title | Advances in one-dimensional wave mechanics towards a unified classical view |
| title_auth | Advances in one-dimensional wave mechanics towards a unified classical view |
| title_exact_search | Advances in one-dimensional wave mechanics towards a unified classical view |
| title_full | Advances in one-dimensional wave mechanics towards a unified classical view Zhuangqi Cao ; Cheng Yin |
| title_fullStr | Advances in one-dimensional wave mechanics towards a unified classical view Zhuangqi Cao ; Cheng Yin |
| title_full_unstemmed | Advances in one-dimensional wave mechanics towards a unified classical view Zhuangqi Cao ; Cheng Yin |
| title_short | Advances in one-dimensional wave mechanics |
| title_sort | advances in one dimensional wave mechanics towards a unified classical view |
| title_sub | towards a unified classical view |
| topic | Wellenmechanik (DE-588)4127857-4 gnd |
| topic_facet | Wellenmechanik |
| url | http://swbplus.bsz-bw.de/bsz402925289cov.htm http://deposit.dnb.de/cgi-bin/dokserv?id=4420171&prov=M&dok%5Fvar=1&dok%5Fext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027330789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT caozhuangqi advancesinonedimensionalwavemechanicstowardsaunifiedclassicalview AT yincheng advancesinonedimensionalwavemechanicstowardsaunifiedclassicalview |