TY - JOUR
T1 - Asymptotic estimates and borel resummation for a doubly anharmonic oscillator
AU - Sobelman, Gerald E.
PY - 1979/1/1
Y1 - 1979/1/1
N2 - The large-order behavior of perturbation theory for an oscillator with both quartic and sextic anharmonicity is examined. Two approaches are considered: an explicit double expansion in the two coupling constants and a single expansion in the number of loops. A two-variable extension of the Borel resummation technique is developed and applied to the double series, and the standard one-variable resummation technique is applied to the loop expansion. Numerical values for the ground-state energy are calculated in each case and the two procedures are compared.
AB - The large-order behavior of perturbation theory for an oscillator with both quartic and sextic anharmonicity is examined. Two approaches are considered: an explicit double expansion in the two coupling constants and a single expansion in the number of loops. A two-variable extension of the Borel resummation technique is developed and applied to the double series, and the standard one-variable resummation technique is applied to the loop expansion. Numerical values for the ground-state energy are calculated in each case and the two procedures are compared.
UR - http://www.scopus.com/inward/record.url?scp=3943058346&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=3943058346&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.19.3754
DO - 10.1103/PhysRevD.19.3754
M3 - Article
AN - SCOPUS:3943058346
SN - 1550-7998
VL - 19
SP - 3754
EP - 3767
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 12
ER -