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[{"key": "dc.contributor.advisor", "value": "Kainulainen, Kimmo", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Koskivaara, Olli", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2015-12-08T13:48:17Z", "language": "", "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2015-12-08T13:48:17Z", "language": "", "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2015", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1505486", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/48022", "language": "", "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "T\u00e4ss\u00e4 pro gradu -tutkielmassa tarkastellaan aikariippuvan taustan omaavan Wightmanin funktion faasiavaruuden rakennetta. Aluksi esittelemme koherentin kvasihiukkasapproksimaation (cQPA), joka on ep\u00e4tasapainoilmi\u00f6iden tutkimiseen soveltuva l\u00e4hestymistapa \u00e4\u00e4rellisen l\u00e4mp\u00f6tilan kentt\u00e4teoriaan. Osoitamme cQPA:n avulla, ett\u00e4 jos tarkastelemme systeemi\u00e4, joka ei ole translaatioinvariantti, sen faasiavaruudessa on perinteisten massakuoria vastaavien hiukkas- ja antihiukkasratkaisujen lis\u00e4ksi uudenlaista rakennetta. T\u00e4m\u00e4 hiukkasten v\u00e4list\u00e4 ep\u00e4lokaalia kvanttikoherenssia kuvaava rakenne ilmenee nollaliikem\u00e4\u00e4r\u00e4kuorella k_0 = 0.\r\n\r\nSeuraavaksi otamme tarkasteltavaksemme ongelman, jossa koherenssirakenteen tulisi n\u00e4ky\u00e4. Valitsemamme systeemi, Diracin yht\u00e4l\u00f6 kompleksisella aikariippuvalla massalla, ei ole translaatioinvariantti aikariippuvan massan vuoksi, mink\u00e4 takia faasiavaruuden rakenne voi olla ep\u00e4triviaali. Motivaationa ongelmalle on s\u00e4hk\u00f6heikko baryogeneesi.\r\n\r\nRatkaisemme kyseisen Diracin yht\u00e4l\u00f6n analyyttisesti ilman cQPA-tekniikoita. Tuloksena saatavia eksakteja moodifunktioita k\u00e4yt\u00e4mme systeemin faasiavaruuden tutkimiseen. Konstruoimme eksakteista ratkaisuista systeemin Wightmanin funktion, ja Wigner-muuntamalla sen p\u00e4\u00e4semme k\u00e4siksi faasiavaruuden rakenteeseen. Rakenne vastaa hyvin cQPA:n ennustuksia, sis\u00e4lt\u00e4en kuorirakennetta vastaten hiukkasia, antihiukkasia ja niiden v\u00e4list\u00e4 koherenssia. Lis\u00e4ksi havaitsemme, ett\u00e4 heikosti vuorovaikuttavien systeemien tapauksessa faasiavaruudessa voi olla massavallin l\u00e4hell\u00e4 koherenssirakenteita vastaten vallin eri puolilta tulevia korrelaatioita. Vuorovaikutukset heikent\u00e4v\u00e4t n\u00e4it\u00e4 pitk\u00e4n matkan korrelaatioita voimakkaasti, ja rakennetta ilmeneekin vain massavallin l\u00e4heisyydess\u00e4. Kauempana massamuutoksesta havaitaan vain cQPA-rakennetta.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "In this master's thesis the phase space structure of a Wightman function is studied for a temporally varying background. First we introduce coherent quasiparticle approximation (cQPA), an approximation scheme in finite temperature field theory that enables studying non-equilibrium phenomena. Using cQPA we show that in non-translation invariant systems the phase space of the Wightman function has in general structure beyond the traditional mass-shell particle- and antiparticle-solutions. This novel structure, describing nonlocal quantum coherence between particles, is found to be living on a zero-momentum k_0 = 0 -shell.\r\n\r\nWith the knowledge of these coherence solutions in hand, we take on a problem in which such quantum coherence effects should be prominent. The problem, a Dirac equation with a complex and time-dependent mass profile, is manifestly non-translation invariant due to the temporal variance of the mass, and is in addition motivated by electroweak baryogenesis.\r\n\r\nThe Dirac equation is solved analytically, with no reference to the cQPA-formalism. The exact mode function solutions of the problem are then used to study the phase space of the system. We use the exact solutions to construct the Wightman function of the system, and Wigner transform it to get a picture of the phase space structure. This structure is found to match well with the one predicted by cQPA, containing particles, antiparticles and coherence. It is also noted that for weakly interacting systems the phase space near the mass wall may contain also coherence structures corresponding to correlations coming from different sides of the wall. These correlations are seen to be largely suppressed by interactions, and their existence is therefore limited to the vicinity of the wall. Further away from the wall only the cQPA-structure exists.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Olli Koskivaara (olalkosk) on 2015-12-08 13:48:16.489784. Form: Pro gradu -lomake (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake). JyX data: [jyx_publishing-allowed (fi) =True]", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija.group@korppi.jyu.fi) on 2015-12-08T13:48:17Z\r\nNo. of bitstreams: 2\r\nURN:NBN:fi:jyu-201512083935.pdf: 2520281 bytes, checksum: 1f618434a0d6f7bf7b52e46d1395edd6 (MD5)\r\nlicense.html: 4877 bytes, checksum: 92f6f814592471e54bf3eeade24c33ba (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2015-12-08T13:48:17Z (GMT). No. of bitstreams: 2\r\nURN:NBN:fi:jyu-201512083935.pdf: 2520281 bytes, checksum: 1f618434a0d6f7bf7b52e46d1395edd6 (MD5)\r\nlicense.html: 4877 bytes, checksum: 92f6f814592471e54bf3eeade24c33ba (MD5)\r\n Previous issue date: 2015", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto (85 sivua)", "language": null, "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "eng", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "kvanttikoherenssi", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "\u00e4\u00e4rellisen l\u00e4mp\u00f6tilan kentt\u00e4teoria", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "faasiavaruus", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "koherentti kvasihiukkasapproksimaatio", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Wightmanin funktio", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "Diracin yht\u00e4l\u00f6", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Exact solutions of a Dirac equation with a varying CP-violating mass profile and coherent quasiparticle approximation", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201512083935", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Fysiikan laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Physics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Teoreettinen fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Theoretical Physics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.date.updated", "value": "2015-12-08T13:48:17Z", "language": "", "element": "date", "qualifier": "updated", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": 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