Ontology type: schema:ScholarlyArticle
2001-03
AUTHORS ABSTRACTThe interaction between a massive neutral fermion with a static (spin) magnetic dipole moment μ and an external electromagnetic field is described by the Dirac–Pauli equation. Exact solutions of this equation are obtained along with the corresponding energy spectrum for an axially symmetric external magnetic field and for some centrally symmetric electric fields. It is shown that the spin–orbital interaction of a neutral fermion with a magnetic moment determines both the characteristic properties of the quantum states and the fermion energy spectrum. It is found that (1) the discrete energy spectrum of a neutral fermion depends on the projection of the fermion spin on a certain quantization axis, (2) the ground energy level of a fermion in these electric fields as well as the energy levels of all bound states with a fixed value of the quantum number characterizing the projection of the fermion spin in the electric field E = er is degenerate and the degeneration order is countably infinite, and (3) the energy spectra of neutral fermions and antifermions with spin magnetic moments are symmetric in centrally symmetric fields. Bound states of a neutral fermion with a magnetic moment in an external electric field do exist even if the Dirac–Pauli equation does not explicitly contain the term with the fermion mass. In addition, in centrally symmetric electric fields, there exist a countably infinite set of pairs of isolated charge-conjugate zero-energy solutions of the Dirac–Pauli equation. More... »
PAGES354-366
http://scigraph.springernature.com/pub.10.1023/a:1010320001946
DOIhttp://dx.doi.org/10.1023/a:1010320001946
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1015509107
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/2008/0299",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Other Physical Sciences",
"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": "Moscow State University",
"id": "https://www.grid.ac/institutes/grid.14476.30",
"name": [
"Moscow State University, Moscow, Russia"
],
"type": "Organization"
},
"familyName": "Khalilov",
"givenName": "V. R.",
"id": "sg:person.013233115763.52",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013233115763.52"
],
"type": "Person"
}
],
"citation": [
{
"id": "sg:pub.10.1007/bf02823296",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1012901556",
"https://doi.org/10.1007/bf02823296"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02823296",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1012901556",
"https://doi.org/10.1007/bf02823296"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.61.022101",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1019090314"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.61.022101",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1019090314"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrev.73.407",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060453946"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrev.73.407",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060453946"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevd.13.3398",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060684031"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevd.13.3398",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060684031"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevlett.42.1698",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060783699"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevlett.42.1698",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060783699"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevlett.53.319",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060790876"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevlett.53.319",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060790876"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevlett.63.380",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060799912"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physrevlett.63.380",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060799912"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/revmodphys.13.203",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060837127"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/revmodphys.13.203",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060837127"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1142/s0217732398000668",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1062920779"
],
"type": "CreativeWork"
}
],
"datePublished": "2001-03",
"datePublishedReg": "2001-03-01",
"description": "The interaction between a massive neutral fermion with a static (spin) magnetic dipole moment \u03bc and an external electromagnetic field is described by the Dirac\u2013Pauli equation. Exact solutions of this equation are obtained along with the corresponding energy spectrum for an axially symmetric external magnetic field and for some centrally symmetric electric fields. It is shown that the spin\u2013orbital interaction of a neutral fermion with a magnetic moment determines both the characteristic properties of the quantum states and the fermion energy spectrum. It is found that (1) the discrete energy spectrum of a neutral fermion depends on the projection of the fermion spin on a certain quantization axis, (2) the ground energy level of a fermion in these electric fields as well as the energy levels of all bound states with a fixed value of the quantum number characterizing the projection of the fermion spin in the electric field E = er is degenerate and the degeneration order is countably infinite, and (3) the energy spectra of neutral fermions and antifermions with spin magnetic moments are symmetric in centrally symmetric fields. Bound states of a neutral fermion with a magnetic moment in an external electric field do exist even if the Dirac\u2013Pauli equation does not explicitly contain the term with the fermion mass. In addition, in centrally symmetric electric fields, there exist a countably infinite set of pairs of isolated charge-conjugate zero-energy solutions of the Dirac\u2013Pauli equation.",
"genre": "research_article",
"id": "sg:pub.10.1023/a:1010320001946",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1327888",
"issn": [
"0040-5779",
"2305-3135"
],
"name": "Theoretical and Mathematical Physics",
"type": "Periodical"
},
{
"issueNumber": "3",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "126"
}
],
"name": "Neutral Fermion with a Magnetic Moment in External Electromagnetic Fields",
"pagination": "354-366",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"49e481d5c087fb192888de52a533d64308adc9888ad978ef1cab1b3bbb62851c"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1023/a:1010320001946"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1015509107"
]
}
],
"sameAs": [
"https://doi.org/10.1023/a:1010320001946",
"https://app.dimensions.ai/details/publication/pub.1015509107"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T01:57",
"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_8700_00000499.jsonl",
"type": "ScholarlyArticle",
"url": "http://link.springer.com/10.1023/A:1010320001946"
}
]
Download the RDF metadata as: json-ld nt turtle xml License info
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.10.1023/a:1010320001946'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1023/a:1010320001946'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1023/a:1010320001946'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1023/a:1010320001946'
This table displays all metadata directly associated to this object as RDF triples.
89 TRIPLES
21 PREDICATES
36 URIs
19 LITERALS
7 BLANK NODES