Quantum anharmonic oscillator / (Record no. 93519)
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000 -LEADER | |
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fixed length control field | 01501nam a22001697a 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20250602152122.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 250602b2023 |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9789811270451 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 517.38 TUR-A |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Turbiner, Alexander V. |
245 ## - TITLE STATEMENT | |
Title | Quantum anharmonic oscillator / |
Statement of responsibility, etc. | Alexander V. Turbiner and Juan Carlos del Valle Rosales |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc. | India |
Name of publisher, distributor, etc. | World Scientific |
Date of publication, distribution, etc. | 2023 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 286p. |
500 ## - GENERAL NOTE | |
General note | 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. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Nonlinear oscillations |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Oscillations non linéaires |
952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
Withdrawn status |
Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Current library | Shelving location | Date acquired | Total Checkouts | Full call number | Barcode | Date last seen | Koha item type |
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Dewey Decimal Classification | 530 | BITS Pilani Hyderabad | General Stack (For lending) | 31/03/2025 | 517.38 TUR-A | 49967 | 02/06/2025 | Books |