LEADER 00000cam a2200637Ia 4500 001 ocn860388605 003 OCoLC 005 20160527040700.9 006 m o d 007 cr cnu---unuuu 008 091123s2014 si a o 001 0 eng d 016 7 016504830|2Uk 020 9789814508476|q(electronic book) 020 9814508470|q(electronic book) 020 |z9789814508469 035 (OCoLC)860388605 040 WSPC|beng|epn|cSTF|dYDXCP|dN15|dN$T|dUKMGB|dDEBSZ|dZCU |dCHVBK|dGGVRL|dOCLCQ|dOCLCF 049 RIDW 050 4 QC174.12|b.O449 2014 072 7 SCI|x024000|2bisacsh 072 7 SCI|x041000|2bisacsh 072 7 SCI|x055000|2bisacsh 082 04 530.12|222 090 QC174.12|b.O449 2014 100 1 Olshanii, M.|q(Maxim)|0https://id.loc.gov/authorities/ names/no2004104660 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 340 |gpolychrome|2rdacc 347 text file|2rdaft 500 Includes 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. 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. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Quantum theory.|0https://id.loc.gov/authorities/subjects/ sh85109469 650 0 Many-body problem.|0https://id.loc.gov/authorities/ subjects/sh85080793 650 0 Differential equations, Partial.|0https://id.loc.gov/ authorities/subjects/sh85037912 650 7 Quantum theory.|2fast|0https://id.worldcat.org/fast/ 1085128 650 7 Many-body problem.|2fast|0https://id.worldcat.org/fast/ 1008543 650 7 Differential equations, Partial.|2fast|0https:// id.worldcat.org/fast/893484 655 0 Electronic books. 655 4 Electronic books. 710 2 World Scientific (Firm)|0https://id.loc.gov/authorities/ names/no2001005546 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 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=661916|zOnline eBook. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading this eBook|uhttp:// guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20160607|cEBSCO|tebscoebooksacademic|lridw 994 92|bRID