{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T15:58:42Z","timestamp":1648742322142},"reference-count":38,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Mod. Phys. E"],"published-print":{"date-parts":[[2015,6]]},"abstract":"<jats:p> Introducing collective variables, a collective description of nuclear surface oscillations has been developed with the first-quantized language, contrary to the second-quantized one in Sunakawa's approach for a Bose system. It overcomes difficulties remaining in the traditional theories of nuclear collective motions: Collective momenta are not exact canonically conjugate to collective coordinates and are not independent. On the contrary to such a description, Tomonaga first gave the basic idea to approach elementary excitations in a one-dimensional Fermi system. The Sunakawa's approach for a Fermi system is also expected to work well for such a problem. In this paper, on the isospin space, we define a density operator and further following Tomonaga, introduce a collective momentum. We propose an exact canonically momenta approach to a one-dimensional neutron\u2013proton (N\u2013P) system under the use of the Grassmann variables. <\/jats:p>","DOI":"10.1142\/s0218301315500457","type":"journal-article","created":{"date-parts":[[2015,6,11]],"date-time":"2015-06-11T04:36:14Z","timestamp":1433997374000},"page":"1550045","source":"Crossref","is-referenced-by-count":2,"title":["Exact canonically conjugate momenta approach to a one-dimensional neutron\u2013proton system, I"],"prefix":"10.1142","volume":"24","author":[{"given":"Seiya","family":"Nishiyama","sequence":"first","affiliation":[{"name":"Centro de F\u00edsica Computacional, Departamento de F\u00edsica, Universidade de Coimbra, P-3004-516 Coimbra, Portugal"}]},{"given":"Jo\u00e3o","family":"da Provid\u00eancia","sequence":"additional","affiliation":[{"name":"Centro de F\u00edsica Computacional, Departamento de F\u00edsica, Universidade de Coimbra, P-3004-516 Coimbra, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2015,6,23]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.21.1067"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/0550-3213(80)90046-2"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0550-3213(81)90365-5"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/0163"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9474(94)90248-8"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.13.467"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.13.482"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.27.589"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.nuclphysa.2014.01.001"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.58.1316"},{"key":"rf12","volume-title":"Nuclear Structure","author":"Bohr A.","year":"1974"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.44.153"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9474(72)90548-9"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1139\/p76-115"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/j.nuclphysa.2014.12.005"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1007\/BF01614153"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1063\/1.524438"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1142\/S0217751X98002523"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1143\/ptp\/5.4.544"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-2895-7_6"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1063\/1.1704046"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1080\/00018737900101375"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-5714-9"},{"key":"rf25","volume-title":"The Method of Second Quantization","author":"Berezin F. 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