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A Generalization of the Kustaanheimo–Stiefel Transform for Two–Centre Systems
Author(s) -
Helffer Bernard,
Siedentop Heinz
Publication year - 1996
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/28.1.33
Subject(s) - mathematics , generalization , order (exchange) , pure mathematics , algebra over a field , mathematical analysis , finance , economics
We generalize the Kustaanheimo—Stiefel transform to be applicable to two‐centre problems. As a consequence, we remark that—as in the one‐centre situation—the number of bound states below a given negative energy E can be determined, under the usual assumptions on the absence of periodic orbits, up to second order.