Area in phase space as determiner of transition probability: Bohr-Sommerfeld bands, Wigner ripples, and Fresnel zones View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1988-10

AUTHORS

W. Schleich, H. Walther, J. A. Wheeler

ABSTRACT

We consider an oscillator subjected to a sudden change in equilibrium position or in effective spring constant, or both—to a “squeeze” in the language of quantum optics. We analyze the probability of transition from a given initial state to a final state, in its dependence on final-state quantum number. We make use of five sources of insight: Bohr-Sommerfeld quantization via bands in phase space, area of overlap between before-squeeze band and after-squeeze band, interference in phase space, Wigner function as quantum update of B-S band and near-zone Fresnel diffraction as mockup Wigner function. More... »

PAGES

953-968

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01909932

DOI

http://dx.doi.org/10.1007/bf01909932

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1032395015


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0202", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Atomic, Molecular, Nuclear, Particle and Plasma Physics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Physical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "The University of Texas at Austin", 
          "id": "https://www.grid.ac/institutes/grid.89336.37", 
          "name": [
            "Max-Planck-Institut f\u00fcr Quantenoptik, D-8046, Garching bei M\u00fcnchen, West Germany", 
            "Department of Physics, University of Texas at Austin, 78712, Austin, Texas"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Schleich", 
        "givenName": "W.", 
        "id": "sg:person.01170021235.79", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01170021235.79"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Ludwig Maximilian University of Munich", 
          "id": "https://www.grid.ac/institutes/grid.5252.0", 
          "name": [
            "Max-Planck-Institut f\u00fcr Quantenoptik, D-8046, Garching bei M\u00fcnchen, West Germany", 
            "Sektion Physik der Universit\u00e4t M\u00fcnchen, D-8046, Garching bei M\u00fcnchen, West Germany"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Walther", 
        "givenName": "H.", 
        "id": "sg:person.016355234775.61", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016355234775.61"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "The University of Texas at Austin", 
          "id": "https://www.grid.ac/institutes/grid.89336.37", 
          "name": [
            "Department of Physics, University of Texas at Austin, 78712, Austin, Texas"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Wheeler", 
        "givenName": "J. A.", 
        "id": "sg:person.012236467712.40", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012236467712.40"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf00398159", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001179660", 
          "https://doi.org/10.1007/bf00398159"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00398159", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001179660", 
          "https://doi.org/10.1007/bf00398159"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-61898-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005401522", 
          "https://doi.org/10.1007/978-3-642-61898-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-61898-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005401522", 
          "https://doi.org/10.1007/978-3-642-61898-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/j.1538-7305.1960.tb03943.x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006497407"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0370-1573(84)90160-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007911091"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0370-1573(84)90160-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007911091"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-52619-0_2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033263997", 
          "https://doi.org/10.1007/978-3-642-52619-0_2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01391513", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033840510", 
          "https://doi.org/10.1007/bf01391513"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0375-9601(81)90870-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035235250"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0375-9601(81)90870-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035235250"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/andp.19163561702", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046451842"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-662-13399-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052888233", 
          "https://doi.org/10.1007/978-3-662-13399-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-662-13399-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052888233", 
          "https://doi.org/10.1007/978-3-662-13399-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0143-0807/6/4/016", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059037619"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.38.1177", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060477766"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.38.1177", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060477766"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/revmodphys.15.1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060837181"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/revmodphys.15.1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060837181"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/coll/023", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098741876"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1988-10", 
    "datePublishedReg": "1988-10-01", 
    "description": "We consider an oscillator subjected to a sudden change in equilibrium position or in effective spring constant, or both\u2014to a \u201csqueeze\u201d in the language of quantum optics. We analyze the probability of transition from a given initial state to a final state, in its dependence on final-state quantum number. We make use of five sources of insight: Bohr-Sommerfeld quantization via bands in phase space, area of overlap between before-squeeze band and after-squeeze band, interference in phase space, Wigner function as quantum update of B-S band and near-zone Fresnel diffraction as mockup Wigner function.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf01909932", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1297335", 
        "issn": [
          "0015-9018", 
          "1572-9516"
        ], 
        "name": "Foundations of Physics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "10", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "18"
      }
    ], 
    "name": "Area in phase space as determiner of transition probability: Bohr-Sommerfeld bands, Wigner ripples, and Fresnel zones", 
    "pagination": "953-968", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "9a531198213adaa55623035a7ee505403a4d4e346bfda199c153f48e8d878ccb"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf01909932"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1032395015"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf01909932", 
      "https://app.dimensions.ai/details/publication/pub.1032395015"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T11:13", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000353_0000000353/records_45372_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF01909932"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bf01909932'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf01909932'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01909932'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01909932'


 

This table displays all metadata directly associated to this object as RDF triples.

124 TRIPLES      21 PREDICATES      40 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf01909932 schema:about anzsrc-for:02
2 anzsrc-for:0202
3 schema:author Na374e9cc84344c839625cf5e87f2b3fc
4 schema:citation sg:pub.10.1007/978-3-642-52619-0_2
5 sg:pub.10.1007/978-3-642-61898-7
6 sg:pub.10.1007/978-3-662-13399-6
7 sg:pub.10.1007/bf00398159
8 sg:pub.10.1007/bf01391513
9 https://doi.org/10.1002/andp.19163561702
10 https://doi.org/10.1002/j.1538-7305.1960.tb03943.x
11 https://doi.org/10.1016/0370-1573(84)90160-1
12 https://doi.org/10.1016/0375-9601(81)90870-7
13 https://doi.org/10.1088/0143-0807/6/4/016
14 https://doi.org/10.1090/coll/023
15 https://doi.org/10.1103/physreva.38.1177
16 https://doi.org/10.1103/revmodphys.15.1
17 schema:datePublished 1988-10
18 schema:datePublishedReg 1988-10-01
19 schema:description We consider an oscillator subjected to a sudden change in equilibrium position or in effective spring constant, or both—to a “squeeze” in the language of quantum optics. We analyze the probability of transition from a given initial state to a final state, in its dependence on final-state quantum number. We make use of five sources of insight: Bohr-Sommerfeld quantization via bands in phase space, area of overlap between before-squeeze band and after-squeeze band, interference in phase space, Wigner function as quantum update of B-S band and near-zone Fresnel diffraction as mockup Wigner function.
20 schema:genre research_article
21 schema:inLanguage en
22 schema:isAccessibleForFree true
23 schema:isPartOf Nb593b27d21ab47289ed7930a9def8878
24 Neebff5c285bd43dda743e90a6f9a6fb6
25 sg:journal.1297335
26 schema:name Area in phase space as determiner of transition probability: Bohr-Sommerfeld bands, Wigner ripples, and Fresnel zones
27 schema:pagination 953-968
28 schema:productId N0aa81a1776444386811552b64454d97b
29 N8fd1e34486024013a76284eed833d312
30 Na68596ec81b84d35a9a1ae713eb07c89
31 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032395015
32 https://doi.org/10.1007/bf01909932
33 schema:sdDatePublished 2019-04-11T11:13
34 schema:sdLicense https://scigraph.springernature.com/explorer/license/
35 schema:sdPublisher Nc8ef7051d6504258ab731da45b505758
36 schema:url http://link.springer.com/10.1007/BF01909932
37 sgo:license sg:explorer/license/
38 sgo:sdDataset articles
39 rdf:type schema:ScholarlyArticle
40 N0aa81a1776444386811552b64454d97b schema:name dimensions_id
41 schema:value pub.1032395015
42 rdf:type schema:PropertyValue
43 N8f4431a1e8624b9eb8ad69880febf85d rdf:first sg:person.012236467712.40
44 rdf:rest rdf:nil
45 N8fd1e34486024013a76284eed833d312 schema:name doi
46 schema:value 10.1007/bf01909932
47 rdf:type schema:PropertyValue
48 Na374e9cc84344c839625cf5e87f2b3fc rdf:first sg:person.01170021235.79
49 rdf:rest Nb1394c16e3a64bd790b8f5db5f8c474d
50 Na68596ec81b84d35a9a1ae713eb07c89 schema:name readcube_id
51 schema:value 9a531198213adaa55623035a7ee505403a4d4e346bfda199c153f48e8d878ccb
52 rdf:type schema:PropertyValue
53 Nb1394c16e3a64bd790b8f5db5f8c474d rdf:first sg:person.016355234775.61
54 rdf:rest N8f4431a1e8624b9eb8ad69880febf85d
55 Nb593b27d21ab47289ed7930a9def8878 schema:volumeNumber 18
56 rdf:type schema:PublicationVolume
57 Nc8ef7051d6504258ab731da45b505758 schema:name Springer Nature - SN SciGraph project
58 rdf:type schema:Organization
59 Neebff5c285bd43dda743e90a6f9a6fb6 schema:issueNumber 10
60 rdf:type schema:PublicationIssue
61 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
62 schema:name Physical Sciences
63 rdf:type schema:DefinedTerm
64 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
65 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
66 rdf:type schema:DefinedTerm
67 sg:journal.1297335 schema:issn 0015-9018
68 1572-9516
69 schema:name Foundations of Physics
70 rdf:type schema:Periodical
71 sg:person.01170021235.79 schema:affiliation https://www.grid.ac/institutes/grid.89336.37
72 schema:familyName Schleich
73 schema:givenName W.
74 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01170021235.79
75 rdf:type schema:Person
76 sg:person.012236467712.40 schema:affiliation https://www.grid.ac/institutes/grid.89336.37
77 schema:familyName Wheeler
78 schema:givenName J. A.
79 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012236467712.40
80 rdf:type schema:Person
81 sg:person.016355234775.61 schema:affiliation https://www.grid.ac/institutes/grid.5252.0
82 schema:familyName Walther
83 schema:givenName H.
84 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016355234775.61
85 rdf:type schema:Person
86 sg:pub.10.1007/978-3-642-52619-0_2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033263997
87 https://doi.org/10.1007/978-3-642-52619-0_2
88 rdf:type schema:CreativeWork
89 sg:pub.10.1007/978-3-642-61898-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005401522
90 https://doi.org/10.1007/978-3-642-61898-7
91 rdf:type schema:CreativeWork
92 sg:pub.10.1007/978-3-662-13399-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052888233
93 https://doi.org/10.1007/978-3-662-13399-6
94 rdf:type schema:CreativeWork
95 sg:pub.10.1007/bf00398159 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001179660
96 https://doi.org/10.1007/bf00398159
97 rdf:type schema:CreativeWork
98 sg:pub.10.1007/bf01391513 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033840510
99 https://doi.org/10.1007/bf01391513
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1002/andp.19163561702 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046451842
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1002/j.1538-7305.1960.tb03943.x schema:sameAs https://app.dimensions.ai/details/publication/pub.1006497407
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1016/0370-1573(84)90160-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007911091
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1016/0375-9601(81)90870-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035235250
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1088/0143-0807/6/4/016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059037619
110 rdf:type schema:CreativeWork
111 https://doi.org/10.1090/coll/023 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098741876
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1103/physreva.38.1177 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060477766
114 rdf:type schema:CreativeWork
115 https://doi.org/10.1103/revmodphys.15.1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060837181
116 rdf:type schema:CreativeWork
117 https://www.grid.ac/institutes/grid.5252.0 schema:alternateName Ludwig Maximilian University of Munich
118 schema:name Max-Planck-Institut für Quantenoptik, D-8046, Garching bei München, West Germany
119 Sektion Physik der Universität München, D-8046, Garching bei München, West Germany
120 rdf:type schema:Organization
121 https://www.grid.ac/institutes/grid.89336.37 schema:alternateName The University of Texas at Austin
122 schema:name Department of Physics, University of Texas at Austin, 78712, Austin, Texas
123 Max-Planck-Institut für Quantenoptik, D-8046, Garching bei München, West Germany
124 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...