Perturbative approach to the hydrogen atom in a strong magnetic field View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2003-03

AUTHORS

V. A. Gani, A. E. Kudryavtsev, V. A. Lensky, V. M. Weinberg

ABSTRACT

We consider states of the hydrogen atom with the principal quantum number n≤3 and zero magnetic quantum number in a constant homogeneous magnetic field ℋ. The perturbation theory series is summed using the Borel transformation and conformal mapping of the Borel variable. Convergence of the approximate energy eigenvalues and their agreement with the corresponding existing results are observed for external fields up to n3ℋ/ℋ0∼5, where ℋ0 is the atomic magnetic field. The possibility of restoring the asymptotic behavior of energy levels using perturbation theory coefficients is also discussed. More... »

PAGES

402-406

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/1.1567412

DOI

http://dx.doi.org/10.1134/1.1567412

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1048891875


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": {
          "name": [
            "State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Gani", 
        "givenName": "V. A.", 
        "id": "sg:person.010025225757.94", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010025225757.94"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Kudryavtsev", 
        "givenName": "A. E.", 
        "id": "sg:person.014170641607.10", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014170641607.10"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Lensky", 
        "givenName": "V. A.", 
        "id": "sg:person.016037405706.16", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016037405706.16"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Weinberg", 
        "givenName": "V. M.", 
        "id": "sg:person.015133014511.23", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015133014511.23"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/0003-4916(81)90184-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002978455"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0375-9601(82)90708-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015374424"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0375-9601(82)90708-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015374424"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0370-1573(81)90016-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015625126"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0370-1573(81)90016-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015625126"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0953-4075/27/6/008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050808207"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.23.1645", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060469129"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.23.1645", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060469129"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.46.318", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060486090"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.46.318", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060486090"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.52.4508", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060490940"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.52.4508", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060490940"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2003-03", 
    "datePublishedReg": "2003-03-01", 
    "description": "We consider states of the hydrogen atom with the principal quantum number n\u22643 and zero magnetic quantum number in a constant homogeneous magnetic field \u210b. The perturbation theory series is summed using the Borel transformation and conformal mapping of the Borel variable. Convergence of the approximate energy eigenvalues and their agreement with the corresponding existing results are observed for external fields up to n3\u210b/\u210b0\u223c5, where \u210b0 is the atomic magnetic field. The possibility of restoring the asymptotic behavior of energy levels using perturbation theory coefficients is also discussed.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1134/1.1567412", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1295107", 
        "issn": [
          "1063-7761", 
          "1090-6509"
        ], 
        "name": "Journal of Experimental and Theoretical Physics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "96"
      }
    ], 
    "name": "Perturbative approach to the hydrogen atom in a strong magnetic field", 
    "pagination": "402-406", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "e8e95729839ea5e9d0ae302ca631e936cb8ac4938a7e4db69622b047e849f13e"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1134/1.1567412"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1048891875"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1134/1.1567412", 
      "https://app.dimensions.ai/details/publication/pub.1048891875"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T13:13", 
    "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/v90/0000000001_0000000264/records_8659_00000501.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1134/1.1567412"
  }
]
 

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.10.1134/1.1567412'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1134/1.1567412'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1134/1.1567412'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1134/1.1567412'


 

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

108 TRIPLES      21 PREDICATES      34 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1134/1.1567412 schema:about anzsrc-for:02
2 anzsrc-for:0202
3 schema:author N13395e7767de4990ae504c814b4f477f
4 schema:citation https://doi.org/10.1016/0003-4916(81)90184-6
5 https://doi.org/10.1016/0370-1573(81)90016-8
6 https://doi.org/10.1016/0375-9601(82)90708-3
7 https://doi.org/10.1088/0953-4075/27/6/008
8 https://doi.org/10.1103/physreva.23.1645
9 https://doi.org/10.1103/physreva.46.318
10 https://doi.org/10.1103/physreva.52.4508
11 schema:datePublished 2003-03
12 schema:datePublishedReg 2003-03-01
13 schema:description We consider states of the hydrogen atom with the principal quantum number n≤3 and zero magnetic quantum number in a constant homogeneous magnetic field ℋ. The perturbation theory series is summed using the Borel transformation and conformal mapping of the Borel variable. Convergence of the approximate energy eigenvalues and their agreement with the corresponding existing results are observed for external fields up to n3ℋ/ℋ0∼5, where ℋ0 is the atomic magnetic field. The possibility of restoring the asymptotic behavior of energy levels using perturbation theory coefficients is also discussed.
14 schema:genre research_article
15 schema:inLanguage en
16 schema:isAccessibleForFree true
17 schema:isPartOf Na6f4de4df0de476398172dbdb5254703
18 Nd24ea0d73bb0449eb76853a0426b025a
19 sg:journal.1295107
20 schema:name Perturbative approach to the hydrogen atom in a strong magnetic field
21 schema:pagination 402-406
22 schema:productId N291d126a8d8a4062a2eb20f89213aa74
23 Nc689daf687134d5eb1a816f297ad0429
24 Nfac20b44ff3e4f65b30b71f35fbd848d
25 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048891875
26 https://doi.org/10.1134/1.1567412
27 schema:sdDatePublished 2019-04-10T13:13
28 schema:sdLicense https://scigraph.springernature.com/explorer/license/
29 schema:sdPublisher N811235bc0fd14048af0fc2542d7a55dd
30 schema:url http://link.springer.com/10.1134/1.1567412
31 sgo:license sg:explorer/license/
32 sgo:sdDataset articles
33 rdf:type schema:ScholarlyArticle
34 N13395e7767de4990ae504c814b4f477f rdf:first sg:person.010025225757.94
35 rdf:rest N3a77c2f492ca4485927cb2fd848f5bf1
36 N175343679ee244cead7e335890f21816 schema:name State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia
37 rdf:type schema:Organization
38 N1ce4678fe70f445385d86a8b12e5682c rdf:first sg:person.016037405706.16
39 rdf:rest N79055be20b2648aebdc09fc3c0ef0d98
40 N24a610df8dd74727927e17dbc6d568fb schema:name State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia
41 rdf:type schema:Organization
42 N291d126a8d8a4062a2eb20f89213aa74 schema:name readcube_id
43 schema:value e8e95729839ea5e9d0ae302ca631e936cb8ac4938a7e4db69622b047e849f13e
44 rdf:type schema:PropertyValue
45 N3a77c2f492ca4485927cb2fd848f5bf1 rdf:first sg:person.014170641607.10
46 rdf:rest N1ce4678fe70f445385d86a8b12e5682c
47 N79055be20b2648aebdc09fc3c0ef0d98 rdf:first sg:person.015133014511.23
48 rdf:rest rdf:nil
49 N811235bc0fd14048af0fc2542d7a55dd schema:name Springer Nature - SN SciGraph project
50 rdf:type schema:Organization
51 Na6f4de4df0de476398172dbdb5254703 schema:issueNumber 3
52 rdf:type schema:PublicationIssue
53 Nabbb563ae9804b818e457adbbee77eec schema:name State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia
54 rdf:type schema:Organization
55 Nc689daf687134d5eb1a816f297ad0429 schema:name dimensions_id
56 schema:value pub.1048891875
57 rdf:type schema:PropertyValue
58 Ncfeaa6a6082743588025cbabd0ff9b9c schema:name State Scientific Center Institute of Theoretical and Experimental Physics, 119259, Moscow, Russia
59 rdf:type schema:Organization
60 Nd24ea0d73bb0449eb76853a0426b025a schema:volumeNumber 96
61 rdf:type schema:PublicationVolume
62 Nfac20b44ff3e4f65b30b71f35fbd848d schema:name doi
63 schema:value 10.1134/1.1567412
64 rdf:type schema:PropertyValue
65 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
66 schema:name Physical Sciences
67 rdf:type schema:DefinedTerm
68 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
69 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
70 rdf:type schema:DefinedTerm
71 sg:journal.1295107 schema:issn 1063-7761
72 1090-6509
73 schema:name Journal of Experimental and Theoretical Physics
74 rdf:type schema:Periodical
75 sg:person.010025225757.94 schema:affiliation N24a610df8dd74727927e17dbc6d568fb
76 schema:familyName Gani
77 schema:givenName V. A.
78 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010025225757.94
79 rdf:type schema:Person
80 sg:person.014170641607.10 schema:affiliation N175343679ee244cead7e335890f21816
81 schema:familyName Kudryavtsev
82 schema:givenName A. E.
83 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014170641607.10
84 rdf:type schema:Person
85 sg:person.015133014511.23 schema:affiliation Nabbb563ae9804b818e457adbbee77eec
86 schema:familyName Weinberg
87 schema:givenName V. M.
88 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015133014511.23
89 rdf:type schema:Person
90 sg:person.016037405706.16 schema:affiliation Ncfeaa6a6082743588025cbabd0ff9b9c
91 schema:familyName Lensky
92 schema:givenName V. A.
93 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016037405706.16
94 rdf:type schema:Person
95 https://doi.org/10.1016/0003-4916(81)90184-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002978455
96 rdf:type schema:CreativeWork
97 https://doi.org/10.1016/0370-1573(81)90016-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015625126
98 rdf:type schema:CreativeWork
99 https://doi.org/10.1016/0375-9601(82)90708-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015374424
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1088/0953-4075/27/6/008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050808207
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1103/physreva.23.1645 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060469129
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1103/physreva.46.318 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060486090
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1103/physreva.52.4508 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060490940
108 rdf:type schema:CreativeWork
 




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


...