Convergence of scaled delta expansion: Anharmonic oscillator
- Dipartimento di Fisica, Universita di Genoa, Via Dodecaneso, 33-16146 Genoa (Italy)
- Istituto Nazionale di Fisica Nucleare, sez. di Genova, Via Dodecaneso, 33-16146 Genoa (Italy)
We prove that the linear delta expansion for energy eigenvalues of the quantum mechanical anharmonic oscillator converges to the exact answer if the order dependent trial frequency {Omega} is chosen to scale with the order as {Omega}={ital CN}{sup {gamma}}; 1/3{lt}{gamma}{lt}1/2, {ital C}{gt}0 as {ital N} {r_arrow} {infinity}. It converges also for {gamma}=1/3, if {ital C}{ge}{alpha}{sub {ital c}} {ital g}{sup 1/3}, {alpha}{sub {ital c}}{congruent}0.570875, where {ital g} is the coupling constant in front of the operator {ital q}{sup 4}/4. The extreme case with {gamma}=1/3, {ital C}={alpha}{sub {ital c}} {ital g}{sup 1/3} corresponds to the choice discussed earlier by Seznec and Zinn-Justin and, more recently, by Duncan and Jones. {copyright} 1995 Academic Press, Inc.
- OSTI ID:
- 165577
- Journal Information:
- Annals of Physics (New York), Vol. 241, Issue 1; Other Information: PBD: Jul 1995
- Country of Publication:
- United States
- Language:
- English
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