Research output: Contribution to journal › Article › peer-review
Asymptotic solutions of a Schrödinger equation with a second order pole. / Lay, W.; Slavyanov, S.; Smirnov, A.
In: Physics Letters A, Vol. 172, No. 5, 11.01.1993, p. 305-312.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Asymptotic solutions of a Schrödinger equation with a second order pole
AU - Lay, W.
AU - Slavyanov, S.
AU - Smirnov, A.
PY - 1993/1/11
Y1 - 1993/1/11
N2 - Asymptotic solutions of a Schrödinger equation in the vicinity of a second order pole singularity are constructed by means of the so-called comparison equation method. As an example the problem of the rotating oscillator with large length of the rotation axis is studied. An expansion for eigenenergies of this quantum system is deduced. Besides conventional series in ascending powers of the large parameter it includes the exponentially small term arising from tunneling phenomena.
AB - Asymptotic solutions of a Schrödinger equation in the vicinity of a second order pole singularity are constructed by means of the so-called comparison equation method. As an example the problem of the rotating oscillator with large length of the rotation axis is studied. An expansion for eigenenergies of this quantum system is deduced. Besides conventional series in ascending powers of the large parameter it includes the exponentially small term arising from tunneling phenomena.
UR - http://www.scopus.com/inward/record.url?scp=38249005294&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(93)90107-B
DO - 10.1016/0375-9601(93)90107-B
M3 - Article
AN - SCOPUS:38249005294
VL - 172
SP - 305
EP - 312
JO - Physics Letters A
JF - Physics Letters A
SN - 0375-9601
IS - 5
ER -
ID: 36180283