Abstract
Derivations of the path integral representation of the propagator by a limiting procedure have in common that a lattice in time \(({t_j} = {t_o} + j\varepsilon ,j = 0,1,...,N + 1,{t_{N + 1}} = t)\) is used and that repeated use is made of the semi-group property (1.4). In this way the propagator K(q, t; qo, to,) of (1.1) is represented by (qN+1 = q)
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© 1982 Springer Science+Business Media Dordrecht
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Langouche, F., Roekaerts, D., Tirapegui, E. (1982). Short Time Propagators and the Relations between Them. In: Functional Integration and Semiclassical Expansions. Mathematics and Its Applications, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1634-5_5
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DOI: https://doi.org/10.1007/978-94-017-1634-5_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8377-7
Online ISBN: 978-94-017-1634-5
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