LEADER 00000cam 2200553Ia 4500 001 860388605 003 OCoLC 005 20200131040226.9 006 m o d 007 cr cnuunuuu 008 091123t20142014si a ob 001 0 eng d 010 2013444548 020 9789814508476q(electronic book) 020 9814508470q(electronic book) 020 z9789814508469 020 9814508462 020 9789814508469 035 860388605 040 WSPCbengepncSTFdYDXCPdN15dN$TdUKMGBdDEBSZdZCU dCHVBKdGGVRLdOCLCQdOCLCFdOCLCQdCUSdOCLCOdAGLDB dJBGdMERUCdMNIdOCLCQdVTSdICGdOCLCQdVT2dOCLCQdWYU dSTFdDKCdOCLCQdM8DdUKAHLdLEAUB 049 txum 050 4 QC174.12b.O449 2014eb 072 7 SCIx0240002bisacsh 072 7 SCIx0410002bisacsh 072 7 SCIx0550002bisacsh 100 1 Olshanii, M.q(Maxim),eauthor. 245 10 Backoftheenvelope quantum mechanics :bwith extensions to manybody systems and integrable PDEs /cMaxim Olshanii. 264 1 Singapore ;aHackensack, N.J. :bWorld Scientific Pub. Co., c[2014] 264 4 c©2014. 300 1 online resource (xviii, 151 pages) :billustrations 336 textbtxt2rdacontent 337 computerbc2rdamedia 338 online resourcebcr2rdacarrier 500 Includes indexes. 504 Includes bibliographical references (page 145) and indexes. 505 0 1. Ground state energy of a hybrid harmonicquartic oscillator: a case study. 1.1. Solved problems  2. Bohr Sommerfeld quantization. 2.1. Solved problems. 2.2. Problems without provided solutions. 2.3. Background. 2.4. Problems linked to the "background"  3. "Halved" harmonic oscillator: a case study. 3.1. Solved problems  4. Semiclassical matrix elements of observables and perturbation theory. 4.1. Solved problems. 4.2. Problems without provided solutions. 4.3. Background  5. Variational problems. 5.1. Solved problems. 5.2. Problems without provided solutions. 5.3. Background. 5.4. Problems linked to the "background"  6. Gravitational well: a case study. 6.1. Solved problems  7. Miscellaneous. 7.1. Solved problems  8. The HellmannFeynman theorem. 8.1. Solved problems. 8.2. Problems without provided solutions. 8.3. Background  9. Local density approximation theories. 9.1. Solved problems. 9.2. Problems without provided solutions  10. Integrable partial differential equations. 10.1. Solved problems. 10.2. Problems without provided solutions. 506 Available only to authorized UTEP users. 520 Dimensional and orderofmagnitude estimates are practiced by almost everybody but taught almost nowhere. When physics students engage in their first theoretical research project, they soon learn that exactly solvable problems belong only to textbooks, that numerical models are long and resource consuming, and that "something else" is needed to quickly gain insight into the system they are going to study. Qualitative methods are this "something else", but typically, students have never heard of them before. The aim of this book is to teach the craft of qualitative analysis using a set of problems, some with solutions and some without, in advanced undergraduate and beginning graduate quantum mechanics. Examples include a dimensional analysis solution for the spectrum of a quartic oscillator, simple WKB formulas for the matrix elements of a coordinate in a gravitational well, and a threelinelong estimate for the ionization energy of atoms uniformly valid across the whole periodic table. The pièce de résistance in the collection is a series of dimensional analysis questions in integrable nonlinear partial differential equations with no dimensions existing a priori. Solved problems include the relationship between the size and the speed of solitons of the Kortewegde Vries equation and an expression for the oscillation period of a nonlinear Schrödinger breather as a function of its width. 588 0 Print version record. 650 0 Quantum theory. 650 0 Manybody problem. 650 0 Differential equations, Partial. 655 0 Electronic books. 710 2 World Scientific (Firm),eissuing body. 776 08 iPrint version:aOlshanii, M. (Maxim).tBackofthe envelope quantum mechanics.dSingapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2014z9789814508469. 856 40 uhttp://0ebookcentral.proquest.com.lib.utep.edu/lib/utep /detail.action?docID=1561246zTo access this resource
