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Renormalized inner projection—a case study: The octic oscillator
Author(s) -
Vinette Francine,
Cizek Jiri,
Vrscay Edward R.
Publication year - 1987
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560320604
Subject(s) - harmonic oscillator , computation , coupling constant , projection (relational algebra) , perturbation (astronomy) , perturbation theory (quantum mechanics) , physics , limit (mathematics) , simple (philosophy) , coupling (piping) , mathematics , quantum electrodynamics , mathematical analysis , quantum mechanics , algorithm , engineering , mechanical engineering , philosophy , epistemology
The upper and lower bounds of a harmonic oscillator with an octic perturbation are studied with the use of renormalized inner projection. It is shown that this relatively simple technique works even in the infinite coupling constant limit. Symbolic computation is very convenient and useful in these types of problems, where only a finite number of operations are required.