Quantum Anharmonic Oscillator
Quantum Anharmonic Oscillator | 12.55 MB
Title: Quantum Anharmonic Oscillator
Author: Alexander Turbiner
Language: English | 307 Pages | ISBN: 9811270457
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.[u]DOWNLOAD:[/u]
https://rapidgator.net/file/5ae2d284506e4e88207058ac73974472/Quantum_Anharmonic_Oscillator.rar
https://nitroflare.com/view/BDFAA586EC1CD8B/Quantum_Anharmonic_Oscillator.rar
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.[u]DOWNLOAD:[/u]
https://rapidgator.net/file/5ae2d284506e4e88207058ac73974472/Quantum_Anharmonic_Oscillator.rar
https://nitroflare.com/view/BDFAA586EC1CD8B/Quantum_Anharmonic_Oscillator.rar
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