{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T12:27:30Z","timestamp":1775046450099,"version":"3.50.1"},"reference-count":34,"publisher":"AIP Publishing","issue":"8","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2016,8,1]]},"abstract":"<jats:p>In the paper it is shown that due to separation of variables in the Laplace-Beltrami operator (Hamiltonian of a free quantum particle) in horospheric and quasi-Cartesian coordinates of three dimensional Lobachevsky space, it is possible to introduce standard (\u201cconventional\u201d according to Perelomov [Generalized Coherent States and Their Applications (Springer-Verlag, 1986), p. 320]) coherent states. Some problems (oscillator on horosphere, charged particle in analogy of constant uniform magnetic field) where coherent states are suitable for treating were considered.<\/jats:p>","DOI":"10.1063\/1.4960474","type":"journal-article","created":{"date-parts":[[2016,8,25]],"date-time":"2016-08-25T17:00:35Z","timestamp":1472144435000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":5,"title":["Coherent states on horospheric three-dimensional Lobachevsky space"],"prefix":"10.1063","volume":"57","author":[{"given":"Yu.","family":"Kurochkin","sequence":"first","affiliation":[{"name":"National Academy of Sciences of Belarus 1 Institute of Physics, , 68 Nezalezhnasci Ave., Minsk 220072, Belarus"}]},{"given":"I.","family":"Rybak","sequence":"additional","affiliation":[{"name":"National Academy of Sciences of Belarus 1 Institute of Physics, , 68 Nezalezhnasci Ave., Minsk 220072, Belarus"},{"name":"CAUP 2 Instituto de Astrof\u00edsica e Ci\u00eancias do Espa\u00e7o, , Rua das Estrelas, 4150-762 Porto, Portugal"},{"name":"Universidade do Porto 3 Faculdade de Ci\u00eancias, , Rua do Campo Alegre 687, 4169-007 Porto, Portugal"}]},{"given":"Dz.","family":"Shoukavy","sequence":"additional","affiliation":[{"name":"National Academy of Sciences of Belarus 1 Institute of Physics, , 68 Nezalezhnasci Ave., Minsk 220072, Belarus"}]}],"member":"317","published-online":{"date-parts":[[2016,8,25]]},"reference":[{"key":"2023080308531481000_c1","first-page":"320","volume-title":"Generalized Coherent States and Their Applications","year":"1986"},{"key":"2023080308531481000_c2","doi-asserted-by":"publisher","first-page":"664","DOI":"10.1007\/BF01507634","volume":"14","year":"1926","journal-title":"Naturwiss."},{"key":"2023080308531481000_c3a","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1103\/PhysRevLett.10.84","volume":"10","year":"1963","journal-title":"Phys. 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