Transseries for the ground state density and generalized Bloch equation: Double-well potential case

Shuryak, E.; Turbiner, A. V.

doi:10.1103/PhysRevD.98.105007

Title: Transseries for the ground state density and generalized Bloch equation: Double-well potential case

Journal Article · 16 November 2018 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.98.105007 · OSTI ID:1482424

Shuryak, E.; Turbiner, A. V.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-88ER40388

OSTI ID:: 1482424

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 10 Vol. 98; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Two-loop correction to the instanton density for the double well potential Wöhler, Christian F.; Shuryak, Edward Physics Letters B, Vol. 333, Issue 3-4 https://doi.org/10.1016/0370-2693(94)90169-4	journal	August 1994
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Multi-instanton contributions in quantum mechanics (II) Zinn-Justin, J. Nuclear Physics B, Vol. 218, Issue 2 https://doi.org/10.1016/0550-3213(83)90369-3	journal	June 1983
Multi-instantons and exact results II: specific cases, higher-order effects, and numerical calculations Zinn-Justin, Jean; Jentschura, Ulrich D. Annals of Physics, Vol. 313, Issue 2 https://doi.org/10.1016/j.aop.2004.04.003	journal	October 2004
Multi-instantons and exact results I: conjectures, WKB expansions, and instanton interactions Zinn-Justin, Jean; Jentschura, Ulrich D. Annals of Physics, Vol. 313, Issue 1 https://doi.org/10.1016/j.aop.2004.04.004	journal	September 2004
Instantons in quantum mechanics and resurgent expansions Jentschura, Ulrich D.; Zinn-Justin, Jean Physics Letters B, Vol. 596, Issue 1-2 https://doi.org/10.1016/j.physletb.2004.06.077	journal	August 2004
The eigenvalue spectrum in quantum mechanics and the nonlinearization procedure Turbiner, A. V. Soviet Physics Uspekhi, Vol. 27, Issue 9 https://doi.org/10.1070/PU1984v027n09ABEH004155	journal	September 1984
A Path Integral for Spin Schulman, Lawrence Physical Review, Vol. 176, Issue 5 https://doi.org/10.1103/PhysRev.176.1558	journal	December 1968
Uniform WKB, multi-instantons, and resurgent trans-series Dunne, Gerald V.; Ünsal, Mithat Physical Review D, Vol. 89, Issue 10 https://doi.org/10.1103/PhysRevD.89.105009	journal	May 2014
Three-loop correction to the instanton density. I. The quartic double well potential Escobar-Ruiz, M. A.; Shuryak, E.; Turbiner, A. V. Physical Review D, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevD.92.025046	journal	July 2015
Three-loop correction to the instanton density. II. The sine-Gordon potential Escobar-Ruiz, M. A.; Shuryak, E.; Turbiner, A. V. Physical Review D, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevD.92.025047	journal	July 2015
Erratum: Three-loop correction to the instanton density. I. The quartic double well potential [Phys. Rev. D 92 , 025046 (2015)] Escobar-Ruiz, M. A.; Shuryak, E.; Turbiner, A. V. Physical Review D, Vol. 92, Issue 8 https://doi.org/10.1103/PhysRevD.92.089902	journal	October 2015
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