期刊
QUANTUM
卷 3, 期 -, 页码 -出版社
VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
DOI: 10.22331/q-2019-05-03-137
关键词
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资金
- Austrian Science Fund (FWF) [P30821]
- Austrian Science Fund (FWF) [P30821] Funding Source: Austrian Science Fund (FWF)
Non-Archimedean mathematics is an approach based on fields which contain infinitesimal and infinite elements. Within this approach, we construct a space of a particular class of generalized functions, ultrafunctions. The space of ultrafunctions can be used as a richer framework for a description of a physical system in quantum mechanics. In this paper, we provide a discussion of the space of ultrafunctions and its advantages in the applications of quantum mechanics, particularly for the Schrodinger equation for a Hamiltonian with the delta function potential.
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