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Fine, Dana S., Sawin, Stephen (2017) Path integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac. Journal of Mathematical Physics, 58. 12102pp. doi:10.1063/1.4973368

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Reference TypeJournal (article/letter/editorial)
TitlePath integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac
JournalJournal of Mathematical Physics
AuthorsFine, Dana S.Author
Sawin, StephenAuthor
Year2017 (January)Volume58
PublisherAIP Publishing
DOIdoi:10.1063/1.4973368Search in ResearchGate
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Mindat Ref. ID5771102Long-form Identifiermindat:1:5:5771102:5
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Full ReferenceFine, Dana S., Sawin, Stephen (2017) Path integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac. Journal of Mathematical Physics, 58. 12102pp. doi:10.1063/1.4973368
Plain TextFine, Dana S., Sawin, Stephen (2017) Path integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac. Journal of Mathematical Physics, 58. 12102pp. doi:10.1063/1.4973368
In(n.d.) Journal of Mathematical Physics Vol. 58. AIP Publishing

See Also

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Fine, Dana S., Sawin, Stephen (2014) Short-time asymptotics of a rigorous path integral forN= 1 supersymmetric quantum mechanics on a Riemannian manifold. Journal of Mathematical Physics, 55. 62104pp. doi:10.1063/1.4881719
Fine, Dana S., Sawin, Stephen F. (2008) A Rigorous Path Integral for Supersymmetic Quantum Mechanics and the Heat Kernel. Communications in Mathematical Physics, 284 (1). 79-91 doi:10.1007/s00220-008-0606-2
Corns, R. (1993) Path integrals in N=2 supersymmetric quantum mechanics. Journal of Mathematical Physics, 34. 2723-2741 doi:10.1063/1.530092
Zhou, Zixian, Duan, Xiuqing, Sun, Kai-Jia (2018) Proof of the Atiyah–Singer index theorem by canonical quantum mechanics. Journal of Physics A: Mathematical and Theoretical, 51. 315201pp. doi:10.1088/1751-8121/aac546
Mostafazadeh, Ali (1994) Supersymmetry and the Atiyah–Singer index theorem. I. Peierls brackets, Green’s functions, and a proof of the index theorem via Gaussian superdeterminants. Journal of Mathematical Physics, 35. 1095-1124 doi:10.1063/1.530630
Freed, Daniel (2021) The Atiyah–Singer index theorem. Bulletin of the American Mathematical Society, 58 (4) 517-566 doi:10.1090/bull/1747
Mostafazadeh, Ali (1994) Supersymmetry and the Atiyah–Singer index theorem. II. The scalar curvature factor in the Schrödinger equation. Journal of Mathematical Physics, 35. 1125-1138 doi:10.1063/1.530631
Elliott, George A., Natsume, Toshikazu, Nest, Ryszard (1996) The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics. Communications in Mathematical Physics, 182 (3). 505-533 doi:10.1007/bf02506416
Alvarez-Gaumé, Luis (1983) Supersymmetry and the Atiyah-Singer index theorem. Communications in Mathematical Physics, 90 (2). 161-173 doi:10.1007/bf01205500
Sawin, Stephen (1995) Path integration in two‐dimensional topological quantum field theory. Journal of Mathematical Physics, 36. 6130-6136 doi:10.1063/1.531346
Gattringer, Christof, Hip, Ivan (1999) Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice. Nuclear Physics B, 541 (1). 305-318 doi:10.1016/s0550-3213(98)00826-8
 
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