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portada Quantum Anharmonic Oscillator
Type
Physical Book
Author
Publisher
Language
English
Pages
308
Format
Hardcover
Dimensions
22.9 x 15.2 x 1.9 cm
Weight
0.58 kg.
ISBN13
9789811270451
Categories

Quantum Anharmonic Oscillator

Alexander V Turbiner (Author) · Juan Carlos del Valle Rosales (Author) · World Scientific Publishing Company · Hardcover

Quantum Anharmonic Oscillator - Alexander V Turbiner ; Juan Carlos del Valle Rosales

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Synopsis "Quantum Anharmonic Oscillator "

Quartic anharmonic oscillator with potential V(x)= x ] g x⁴ 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 g (weak coupling regime), although physics corresponds to g 1, and they were mostly about energies.This book is focused on studying eigenfunctions as a primary object for any g . Perturbation theory in g 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 g ∈[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.

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