Accuracy of trace formulas View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1997-02

AUTHORS

Arul Lakshminarayan

ABSTRACT

Using quantum maps, we study the accuracy of semiclassical trace formulas. The role of chaos in improving the semiclassical accuracy in some systems is demonstrated quantitatively. However, our study of the standard map cautions that this may not be most general. While studying a sawtooth map we demonstrate the rather remarkable fact that at the level of the time one trace even in the presence of fixed points on singularities the trace formula may be exact, and in any case has no logarithmic divergences observed for the quantum bakers map. As a byproduct we introduce fantastic periodic curves akin to curlicues. More... »

PAGES

517-535

References to SciGraph publications

Journal

TITLE

Pramana

ISSUE

2

VOLUME

48

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02845660

DOI

http://dx.doi.org/10.1007/bf02845660

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1028121107


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/2008/0206", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Quantum 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": "Physical Research Laboratory", 
          "id": "https://www.grid.ac/institutes/grid.465082.d", 
          "name": [
            "Physical Research Laboratory, 380 009, Navarangapura, Ahmedabad, India"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Lakshminarayan", 
        "givenName": "Arul", 
        "id": "sg:person.010231207056.62", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010231207056.62"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/0960-0779(94)e0060-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001878696"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0003-4916(91)90274-c", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015039530"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0003-4916(90)90367-w", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022719988"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/aphy.1995.1035", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029877409"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0375-9601(94)90217-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031485961"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0375-9601(94)90217-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031485961"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0003-4916(89)90259-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049940303"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0003-4916(89)90259-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049940303"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0370-1573(90)90067-c", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053498585"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0370-1573(90)90067-c", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053498585"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-0983-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053543950", 
          "https://doi.org/10.1007/978-1-4612-0983-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-0983-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053543950", 
          "https://doi.org/10.1007/978-1-4612-0983-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.524170", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058101190"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0951-7715/1/1/001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059108641"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.47.r3468", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060487510"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.47.r3468", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060487510"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.69.402", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060805930"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.69.402", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060805930"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1997-02", 
    "datePublishedReg": "1997-02-01", 
    "description": "Using quantum maps, we study the accuracy of semiclassical trace formulas. The role of chaos in improving the semiclassical accuracy in some systems is demonstrated quantitatively. However, our study of the standard map cautions that this may not be most general. While studying a sawtooth map we demonstrate the rather remarkable fact that at the level of the time one trace even in the presence of fixed points on singularities the trace formula may be exact, and in any case has no logarithmic divergences observed for the quantum bakers map. As a byproduct we introduce fantastic periodic curves akin to curlicues.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf02845660", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1036186", 
        "issn": [
          "0304-4289", 
          "0973-7111"
        ], 
        "name": "Pramana", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "48"
      }
    ], 
    "name": "Accuracy of trace formulas", 
    "pagination": "517-535", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "85f64f14bd171dee6cd4a948aae1b06b4872ab3483f9a8a972c4216a2e1d1d75"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf02845660"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1028121107"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf02845660", 
      "https://app.dimensions.ai/details/publication/pub.1028121107"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T13:28", 
    "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/v90/0000000370_0000000370/records_46744_00000001.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF02845660"
  }
]
 

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/bf02845660'

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/bf02845660'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02845660'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02845660'


 

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

98 TRIPLES      21 PREDICATES      39 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf02845660 schema:about anzsrc-for:02
2 anzsrc-for:0206
3 schema:author Nfa19669fa4ac4b0f94ba93d0f4c19212
4 schema:citation sg:pub.10.1007/978-1-4612-0983-6
5 https://doi.org/10.1006/aphy.1995.1035
6 https://doi.org/10.1016/0003-4916(89)90259-5
7 https://doi.org/10.1016/0003-4916(90)90367-w
8 https://doi.org/10.1016/0003-4916(91)90274-c
9 https://doi.org/10.1016/0370-1573(90)90067-c
10 https://doi.org/10.1016/0375-9601(94)90217-8
11 https://doi.org/10.1016/0960-0779(94)e0060-3
12 https://doi.org/10.1063/1.524170
13 https://doi.org/10.1088/0951-7715/1/1/001
14 https://doi.org/10.1103/physreva.47.r3468
15 https://doi.org/10.1103/physrevlett.69.402
16 schema:datePublished 1997-02
17 schema:datePublishedReg 1997-02-01
18 schema:description Using quantum maps, we study the accuracy of semiclassical trace formulas. The role of chaos in improving the semiclassical accuracy in some systems is demonstrated quantitatively. However, our study of the standard map cautions that this may not be most general. While studying a sawtooth map we demonstrate the rather remarkable fact that at the level of the time one trace even in the presence of fixed points on singularities the trace formula may be exact, and in any case has no logarithmic divergences observed for the quantum bakers map. As a byproduct we introduce fantastic periodic curves akin to curlicues.
19 schema:genre research_article
20 schema:inLanguage en
21 schema:isAccessibleForFree true
22 schema:isPartOf N6e7c07a4a365499c9ec67d0338a60307
23 N89c712f0a10f45928bb660e47fc8fe2b
24 sg:journal.1036186
25 schema:name Accuracy of trace formulas
26 schema:pagination 517-535
27 schema:productId N1fdcb74e1d504e7caefa11921cd0b9f1
28 Nc6fa958677ed42d8a4fa2d7cae7f812c
29 Ndabe941ac558477eb5fd3643f60517ca
30 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028121107
31 https://doi.org/10.1007/bf02845660
32 schema:sdDatePublished 2019-04-11T13:28
33 schema:sdLicense https://scigraph.springernature.com/explorer/license/
34 schema:sdPublisher Nf0a3e4aef63141108b8578a90c0019f8
35 schema:url http://link.springer.com/10.1007/BF02845660
36 sgo:license sg:explorer/license/
37 sgo:sdDataset articles
38 rdf:type schema:ScholarlyArticle
39 N1fdcb74e1d504e7caefa11921cd0b9f1 schema:name readcube_id
40 schema:value 85f64f14bd171dee6cd4a948aae1b06b4872ab3483f9a8a972c4216a2e1d1d75
41 rdf:type schema:PropertyValue
42 N6e7c07a4a365499c9ec67d0338a60307 schema:issueNumber 2
43 rdf:type schema:PublicationIssue
44 N89c712f0a10f45928bb660e47fc8fe2b schema:volumeNumber 48
45 rdf:type schema:PublicationVolume
46 Nc6fa958677ed42d8a4fa2d7cae7f812c schema:name doi
47 schema:value 10.1007/bf02845660
48 rdf:type schema:PropertyValue
49 Ndabe941ac558477eb5fd3643f60517ca schema:name dimensions_id
50 schema:value pub.1028121107
51 rdf:type schema:PropertyValue
52 Nf0a3e4aef63141108b8578a90c0019f8 schema:name Springer Nature - SN SciGraph project
53 rdf:type schema:Organization
54 Nfa19669fa4ac4b0f94ba93d0f4c19212 rdf:first sg:person.010231207056.62
55 rdf:rest rdf:nil
56 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
57 schema:name Physical Sciences
58 rdf:type schema:DefinedTerm
59 anzsrc-for:0206 schema:inDefinedTermSet anzsrc-for:
60 schema:name Quantum Physics
61 rdf:type schema:DefinedTerm
62 sg:journal.1036186 schema:issn 0304-4289
63 0973-7111
64 schema:name Pramana
65 rdf:type schema:Periodical
66 sg:person.010231207056.62 schema:affiliation https://www.grid.ac/institutes/grid.465082.d
67 schema:familyName Lakshminarayan
68 schema:givenName Arul
69 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010231207056.62
70 rdf:type schema:Person
71 sg:pub.10.1007/978-1-4612-0983-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053543950
72 https://doi.org/10.1007/978-1-4612-0983-6
73 rdf:type schema:CreativeWork
74 https://doi.org/10.1006/aphy.1995.1035 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029877409
75 rdf:type schema:CreativeWork
76 https://doi.org/10.1016/0003-4916(89)90259-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049940303
77 rdf:type schema:CreativeWork
78 https://doi.org/10.1016/0003-4916(90)90367-w schema:sameAs https://app.dimensions.ai/details/publication/pub.1022719988
79 rdf:type schema:CreativeWork
80 https://doi.org/10.1016/0003-4916(91)90274-c schema:sameAs https://app.dimensions.ai/details/publication/pub.1015039530
81 rdf:type schema:CreativeWork
82 https://doi.org/10.1016/0370-1573(90)90067-c schema:sameAs https://app.dimensions.ai/details/publication/pub.1053498585
83 rdf:type schema:CreativeWork
84 https://doi.org/10.1016/0375-9601(94)90217-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031485961
85 rdf:type schema:CreativeWork
86 https://doi.org/10.1016/0960-0779(94)e0060-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001878696
87 rdf:type schema:CreativeWork
88 https://doi.org/10.1063/1.524170 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058101190
89 rdf:type schema:CreativeWork
90 https://doi.org/10.1088/0951-7715/1/1/001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059108641
91 rdf:type schema:CreativeWork
92 https://doi.org/10.1103/physreva.47.r3468 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060487510
93 rdf:type schema:CreativeWork
94 https://doi.org/10.1103/physrevlett.69.402 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060805930
95 rdf:type schema:CreativeWork
96 https://www.grid.ac/institutes/grid.465082.d schema:alternateName Physical Research Laboratory
97 schema:name Physical Research Laboratory, 380 009, Navarangapura, Ahmedabad, India
98 rdf:type schema:Organization
 




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


...