QUANTUM ANHARMONIC OSCILLATOR
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Quartic anharmonic oscillator with potential V(x)= x² + g²x⁴ was the first non-exactly-solvable problem tackled by the newly-written Schrödinger equation in 1926. Since that time thousands of articles have been published on the subject, mostly about the domain of small g² (weak coupling regime), although physics corresponds to g² ~ 1, and they were mostly about energies.
This book is focused on studying eigenfunctions as a primary object for any g². Perturbation theory in g² for the logarith...























