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Seznec, R.; Zinn-Justin, J.

Summation of divergent series by order dependent mappings: Application to the anharmonic oscillator and critical exponents in field theory. (English) Zbl 0495.65002

J. Math. Phys. 20, 1398-1408 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 27 Documents

MSC:

65B10 Numerical summation of series
65Z05 Applications to the sciences
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
40G99 Special methods of summability
35Q99 Partial differential equations of mathematical physics and other areas of application

Keywords:

summation of divergent series; ground-state energy of the anharmonic oscillator; field theory; Schrödinger equation; Borel transformation; Hamiltonian
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References:

[1] DOI: 10.1103/PhysRevD.16.408 · doi:10.1103/PhysRevD.16.408
[2] DOI: 10.1103/PhysRev.184.1231 · doi:10.1103/PhysRev.184.1231
[3] DOI: 10.1016/0003-4916(70)90240-X · doi:10.1016/0003-4916(70)90240-X
[4] DOI: 10.1016/0003-4916(70)90240-X · doi:10.1016/0003-4916(70)90240-X
[5] DOI: 10.1103/PhysRevLett.27.461 · doi:10.1103/PhysRevLett.27.461
[6] DOI: 10.1103/PhysRevLett.27.461 · doi:10.1103/PhysRevLett.27.461
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[11] DOI: 10.1016/0370-2693(78)90213-7 · doi:10.1016/0370-2693(78)90213-7
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.