dorsal/arxiv
View SchemaON THE LARGE ORDER ASYMPTOTICS OF THE WAVE FUNCTION PERTURBATION THEORY
| Authors | O. Yu. Shvedov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9504014 |
| URL | https://arxiv.org/abs/quant-ph/9504014 |
| DOI | 10.1016/0370-2693(95)00814-2 |
| Journal | Phys.Lett. B356 (1995) 56-60 |
Abstract
The problem of finding the large order asymptotics for the eigenfunction perturbation theory in quantum mechanics is studied. The relation between the wave function argument x and the number of perturbation theory order k that allows us to construct the asymptotics by saddle-point technique is found: $x/k^{1/2}=const$, k is large. Classical euclidean solutions starting from the classical vacuum play an important role in constructing such asymptotics. The correspondence between the trajectory end and the parameter $x/k^{1/2}$ is found. The obtained results can be applied to the calculation of the main values of the observables depending on k in the k-th order of perturbation theory at larges k and, probably, to the multiparticle production problem.
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"abstract": "The problem of finding the large order asymptotics for the eigenfunction\nperturbation theory in quantum mechanics is studied. The relation between the\nwave function argument x and the number of perturbation theory order k that\nallows us to construct the asymptotics by saddle-point technique is found:\n$x/k^{1/2}=const$, k is large. Classical euclidean solutions starting from the\nclassical vacuum play an important role in constructing such asymptotics. The\ncorrespondence between the trajectory end and the parameter $x/k^{1/2}$ is\nfound. The obtained results can be applied to the calculation of the main\nvalues of the observables depending on k in the k-th order of perturbation\ntheory at larges k and, probably, to the multiparticle production problem.",
"arxiv_id": "quant-ph/9504014",
"authors": [
"O. Yu. Shvedov"
],
"categories": [
"quant-ph",
"hep-ph",
"hep-th"
],
"doi": "10.1016/0370-2693(95)00814-2",
"journal_ref": "Phys.Lett. B356 (1995) 56-60",
"title": "ON THE LARGE ORDER ASYMPTOTICS OF THE WAVE FUNCTION PERTURBATION THEORY",
"url": "https://arxiv.org/abs/quant-ph/9504014"
},
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