DOI: 10.1063/1.523809. Functional integrals over anticommuting variables and the one-dimensional scattering problem

Functional integrals over anticommuting variables and the one-dimensional scattering problem

10.1063/1.523809

Crossref journal-article

AIP Publishing

Journal of Mathematical Physics (317)

Abstract

Functional integrals over anticommuting variables are used to obtain a scattering formula for smooth localized potentials in one dimension. Via a calculational trick, the functional integral is evaluated to obtain the transition matrix coefficients as an expansion in [k′ (x)/k (x)] (k (x) ={ (2m/h/2)[E−V (x)]}1/2). This expansion is shown to have a simple physical interpretation.

Bibliography

Samuel, S. (1978). Functional integrals over anticommuting variables and the one-dimensional scattering problem. Journal of Mathematical Physics, 19(6), 1438â1444.

Authors 1

Stuart Samuel (first)

References 10 Referenced 4

10.1007/BF02745446 / Nuovo Cimento (1956)
{'key': '2023070821350961500_r1a'}
10.1103/PhysRev.82.914 / Phys. Rev. (1951)
10.1073/pnas.47.7.1075 / Proc. Natl. Acad. Sci. (1961)
10.1103/RevModPhys.47.573 / Rev. Mod. Phys. (1975)
10.1103/PhysRevD.16.2476 / Phys. Rev. D (1977)
{'key': '2023070821350961500_r4'}
{'key': '2023070821350961500_r5'}
10.1103/PhysRev.82.914 / Phys. Rev. (1951)
10.1073/pnas.47.7.1075 / Proc. Natl. Acad. Sci. (1961)

Dates

Type	When
Created	22 years, 5 months ago (March 7, 2003, 12:23 p.m.)
Deposited	2 years, 1 month ago (July 8, 2023, 5:35 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 10:59 a.m.)
Issued	47 years, 3 months ago (June 1, 1978)
Published	47 years, 3 months ago (June 1, 1978)
Published Online	17 years ago (Aug. 11, 2008)
Published Print	47 years, 3 months ago (June 1, 1978)

Funders 0

None

BibTeX

@article{Samuel_1978, title={Functional integrals over anticommuting variables and the one-dimensional scattering problem}, volume={19}, ISSN={1089-7658}, url={http://dx.doi.org/10.1063/1.523809}, DOI={10.1063/1.523809}, number={6}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing}, author={Samuel, Stuart}, year={1978}, month=jun, pages={1438–1444} }

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