Factorization Ladders and Eigenfunctions
1949 ◽
Vol 1
(4)
◽
pp. 379-396
◽
Keyword(s):
The eigenfunctions of a boundary value problem are characterized by two quite distinct properties. They are solutions of ordinary differential equations, and they satisfy prescribed boundary conditions. It is a definite advantage to combine these two requirements into a single problem expressed by a unified formula. The use of integral equations is an example in point. The subject of this paper, namely the Schrödinger-Infeld Factorization Method, which is applicable to certain restricted. Sturm-Liouville problems, is based upon another combination of the two properties. The Factorization Method prescribes a manufacturing process.
2011 ◽
Vol 217
(24)
◽
pp. 10355-10360
◽
2021 ◽
Vol 21
(1)
◽
pp. 60-75
1984 ◽
Vol 98
(1-2)
◽
pp. 1-11
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2007 ◽
Vol 335
(2)
◽
pp. 1207-1218
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1974 ◽
Vol 13
(1)
◽
pp. 297-305