{"product_id":"quantum-anharmonic-oscillator-hardcover","title":"Quantum Anharmonic Oscillator - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eAlexander Turbiner\u003c\/b\u003e (Author), \u003cb\u003eJuan Carlos del Valle Rosales\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eQuartic anharmonic oscillator with potential \u003cem\u003eV\u003c\/em\u003e(x)= \u003cem\u003ex\u003c\/em\u003e  ] \u003cem\u003eg\u003c\/em\u003e \u003cem\u003ex\u003c\/em\u003e⁴ 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 \u003cem\u003eg\u003c\/em\u003e  (weak coupling regime), although physics corresponds to \u003cem\u003eg\u003c\/em\u003e  1, and they were mostly about energies.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis book is focused on studying eigenfunctions as a primary object for any \u003cem\u003eg\u003c\/em\u003e . Perturbation theory in \u003cem\u003eg\u003c\/em\u003e  for the logarithm of the wavefunction is matched to the true semiclassical expansion in powers of \u003cem\u003eℏ\u003c\/em\u003e: it leads to locally-highly-accurate, uniform approximation valid for any \u003cem\u003eg\u003c\/em\u003e ∈[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.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 308\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.75 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 24, 2023\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47379652641017,"sku":"9789811270451","price":174.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/Y2RDVWNlLzFMNUcyWWRlbUU0aHY2QT09.webp?v=1770059326","url":"https:\/\/bookscloud.io\/products\/quantum-anharmonic-oscillator-hardcover","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}