LEADER 00000cam  2200553Ia 4500 
001    860388605 
003    OCoLC 
005    20200131040226.9 
006    m     o  d         
007    cr cnu---unuuu 
008    091123t20142014si a    ob    001 0 eng d 
010    2013444548 
020    9789814508476|q(electronic book) 
020    9814508470|q(electronic book) 
020    |z9789814508469 
020    9814508462 
020    9789814508469 
035    860388605 
040    WSPC|beng|epn|cSTF|dYDXCP|dN15|dN$T|dUKMGB|dDEBSZ|dZCU
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049    txum 
050  4 QC174.12|b.O449 2014eb 
072  7 SCI|x024000|2bisacsh 
072  7 SCI|x041000|2bisacsh 
072  7 SCI|x055000|2bisacsh 
100 1  Olshanii, M.|q(Maxim),|eauthor. 
245 10 Back-of-the-envelope quantum mechanics :|bwith extensions 
       to many-body 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    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
500    Includes indexes. 
504    Includes bibliographical references (page 145) and 
       indexes. 
505 0  1. Ground state energy of a hybrid harmonic-quartic 
       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. Semi-classical 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 Hellmann-Feynman 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 order-of-magnitude 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 
       three-line-long 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 Korteweg-de 
       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 Many-body problem. 
650  0 Differential equations, Partial. 
655  0 Electronic books. 
710 2  World Scientific (Firm),|eissuing body. 
776 08 |iPrint version:|aOlshanii, M. (Maxim).|tBack-of-the-
       envelope quantum mechanics.|dSingapore ; Hackensack, N.J. 
       : World Scientific Pub. Co., ©2014|z9789814508469. 
856 40 |uhttp://0-ebookcentral.proquest.com.lib.utep.edu/lib/utep
       /detail.action?docID=1561246|zTo access this resource 
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