{"publication_identifier":{"issn":["1751-8113"],"eissn":["1751-8121"]},"ddc":["510"],"title":"Creation rate of Dirac particles at a point source","intvolume":"        56","citation":{"mla":"Henheik, Sven Joscha, and Roderich Tumulka. “Creation Rate of Dirac Particles at a Point Source.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 56, no. 44, 445201, IOP Publishing, 2023, doi:<a href=\"https://doi.org/10.1088/1751-8121/acfe62\">10.1088/1751-8121/acfe62</a>.","ista":"Henheik SJ, Tumulka R. 2023. Creation rate of Dirac particles at a point source. Journal of Physics A: Mathematical and Theoretical. 56(44), 445201.","ieee":"S. J. Henheik and R. Tumulka, “Creation rate of Dirac particles at a point source,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 56, no. 44. IOP Publishing, 2023.","ama":"Henheik SJ, Tumulka R. Creation rate of Dirac particles at a point source. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2023;56(44). doi:<a href=\"https://doi.org/10.1088/1751-8121/acfe62\">10.1088/1751-8121/acfe62</a>","apa":"Henheik, S. J., &#38; Tumulka, R. (2023). Creation rate of Dirac particles at a point source. <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1751-8121/acfe62\">https://doi.org/10.1088/1751-8121/acfe62</a>","chicago":"Henheik, Sven Joscha, and Roderich Tumulka. “Creation Rate of Dirac Particles at a Point Source.” <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing, 2023. <a href=\"https://doi.org/10.1088/1751-8121/acfe62\">https://doi.org/10.1088/1751-8121/acfe62</a>.","short":"S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical 56 (2023)."},"article_processing_charge":"Yes (via OA deal)","article_number":"445201","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"has_accepted_license":"1","volume":56,"date_published":"2023-10-11T00:00:00Z","quality_controlled":"1","scopus_import":"1","isi":1,"year":"2023","abstract":[{"text":"Only recently has it been possible to construct a self-adjoint Hamiltonian that involves the creation of Dirac particles at a point source in 3d space. Its definition makes use of an interior-boundary condition. Here, we develop for this Hamiltonian a corresponding theory of the Bohmian configuration. That is, we (non-rigorously) construct a Markov jump process $(Q_t)_{t\\in\\mathbb{R}}$ in the configuration space of a variable number of particles that is $|\\psi_t|^2$-distributed at every time t and follows Bohmian trajectories between the jumps. The jumps correspond to particle creation or annihilation events and occur either to or from a configuration with a particle located at the source. The process is the natural analog of Bell's jump process, and a central piece in its construction is the determination of the rate of particle creation. The construction requires an analysis of the asymptotic behavior of the Bohmian trajectories near the source. We find that the particle reaches the source with radial speed 0, but orbits around the source infinitely many times in finite time before absorption (or after emission).","lang":"eng"}],"oa":1,"author":[{"last_name":"Henheik","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha"},{"last_name":"Tumulka","first_name":"Roderich","full_name":"Tumulka, Roderich"}],"language":[{"iso":"eng"}],"day":"11","ec_funded":1,"acknowledgement":"J H gratefully acknowledges partial financial support by the ERC Advanced Grant 'RMTBeyond' No. 101020331.","file_date_updated":"2023-10-16T07:07:24Z","date_updated":"2023-12-13T13:01:25Z","type":"journal_article","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"doi":"10.1088/1751-8121/acfe62","oa_version":"Published Version","article_type":"original","status":"public","file":[{"content_type":"application/pdf","file_id":"14429","relation":"main_file","checksum":"5b68de147dd4c608b71a6e0e844d2ce9","file_name":"2023_JourPhysics_Henheik.pdf","date_created":"2023-10-16T07:07:24Z","access_level":"open_access","creator":"dernst","date_updated":"2023-10-16T07:07:24Z","success":1,"file_size":721399}],"_id":"14421","publication_status":"published","date_created":"2023-10-12T12:42:53Z","month":"10","external_id":{"arxiv":["2211.16606"],"isi":["001080908000001"]},"publisher":"IOP Publishing","publication":"Journal of Physics A: Mathematical and Theoretical","issue":"44"}