Quantum Anharmonic Oscillator is popular PDF and ePub book, written by Alexander Turbiner in 2023-02-24, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Quantum Anharmonic Oscillator can be Read Online from any device for your convenience.
Quantum Anharmonic Oscillator Book PDF Summary
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. This method of matching can be easily extended to the general anharmonic oscillator as well as to the radial oscillators. Quartic, sextic and cubic (for radial case) oscillators are considered in detail as well as quartic double-well potential.
Detail Book of Quantum Anharmonic Oscillator PDF
- Author : Alexander Turbiner
- Release : 24 February 2023
- Publisher : World Scientific
- ISBN : 9789811270475
- Genre : Science
- Total Page : 307 pages
- Language : English
- PDF File Size : 13,8 Mb
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