2026-05-19. 03:05
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Quantum Anharmonic Oscillator
by Alexander Turbiner
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ISBN: 9811270457 • Publisher: World Scientific Publishing Company • Year: 2023
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? Language: English
? Pages: 307
[color=#ff9900]? INFO: English | 2023 | ISBN: 9811270457 | 307 Pages | PDF | 12.5 MB
[color=#888888]? DESCRIPTION: 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 logarithm of the wavefunction is matched to the true semiclassical expansion in powers of ℏ: it leads to locally-highly-accurate, uniform approximation valid for any g²∈[0,∞) for eigenfunctions and even more accurate results for eigenvalues.
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Folder: Quantum Anharmonic Oscillator
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