LEADER 01204nam 2200409 450 001 9910137513003321 005 20221019052843.0 010 $a953-51-5061-8 010 $a953-51-2241-X 035 $a(CKB)3710000000575681 035 $a(NjHacI)993710000000575681 035 $a(EXLCZ)993710000000575681 100 $a20221019d2016 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aAdvances in Geothermal Energy /$fedited by Basel I. Ismail 210 1$aRijeka :$cInTech,$d2016. 210 4$d©2016 215 $a1 online resource (viii, 165 pages) $cillustrations (some color) 320 $aIncludes bibliographical references. 606 $aGeothermal engineering 606 $aGeothermal resources 606 $aRenewable energy sources 615 0$aGeothermal engineering. 615 0$aGeothermal resources. 615 0$aRenewable energy sources. 676 $a621.44 702 $aIsmail$b Basel I. 801 0$bNjHacI 801 1$bNjHacl 906 $aBOOK 912 $a9910137513003321 996 $aAdvances in Geothermal Energy$92088958 997 $aUNINA LEADER 05080oam 2200529 450 001 9910812655203321 005 20190911112729.0 010 $a981-4508-47-0 035 $a(OCoLC)860388605 035 $a(MiFhGG)GVRL8RIO 035 $a(EXLCZ)992550000001160079 100 $a20140312h20142014 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aBack-of-the-envelope quantum mechanics $ewith extensions to many-body systems and integrable PDEs /$fMaxim Olshanii, University of Massachusetts, Boston, USA 210 1$aNew Jersey :$cWorld Scientific,$d[2014] 210 4$d?2014 215 $a1 online resource (xvii, 151 pages) $cillustrations 225 0 $aGale eBooks 300 $aIncludes index. 311 $a981-4508-46-2 311 $a1-306-12033-0 320 $aIncludes bibliographical references and indexes. 327 $aPreface; Contents; 1. Ground State Energy of a Hybrid Harmonic-Quartic Oscillator: A Case Study; 1.1 Solved problems; 1.1.1 Dimensional analysis and why it fails in this case; 1.1.1.1 Side comment: dimensional analysis and approximations; 1.1.1.2 Side comment: how to recast input equations in a dimensionless form; 1.1.2 Dimensional analysis: the harmonic oscillator alone; 1.1.3 Order-of-magnitude estimate: full solution; 1.1.3.1 Order-of-magnitude estimates vis-a-vis dimensional analysis; 1.1.3.2 Harmonic vs. quartic regimes; 1.1.3.3 The harmonic oscillator alone 327 $a1.1.3.4 The quartic oscillator alone1.1.3.5 The boundary between the regimes and the final result; 1.1.4 An afterthought: boundary between regimes from dimensional considerations; 1.1.5 A Gaussian variational solution; 2. Bohr-Sommerfeld Quantization; 2.1 Solved problems; 2.1.1 A semi-classical analysis of the spectrum of a harmonic oscillator: the exact solution, an order-of-magnitude estimate, and dimensional analysis; 2.1.2 WKB treatment of a "straightened" harmonic oscillator; 2.1.3 Ground state energy in power-law potentials; 2.1.4 Spectrum of power-law potentials 327 $a2.1.5 The number of bound states of a diatomic molecule2.1.6 Coulomb problem at zero angular momentum; 2.1.7 Quantization of angular momentum from WKB; 2.1.8 From WKB quantization of 4D angular momentum to quantization of the Coulomb problem; 2.2 Problems without provided solutions; 2.2.1 Size of a neutral meson in Schwinger's toy model of quark confinement; 2.2.2 Bohr-Sommerfeld quantization for periodic boundary conditions; 2.2.3 Ground state energy of multi-dimensional powerlaw potentials; 2.2.4 Ground state energy of a logarithmic potential; 2.2.5 Spectrum of a logarithmic potential 327 $a2.2.6 1D box as a limit of power-law potentials2.2.7 Spin-1/2 in the field of a wire; 2.2.8 Dimensional analysis of the time-dependent Schro-dinger equation for a hybrid harmonicquartic oscillator; 2.3 Background; 2.3.1 Bohr-Sommerfeld quantization; 2.3.2 Multi-dimensional WKB; 2.4 Problems linked to the "Background"; 2.4.1 Bohr-Sommerfeld quantization for one soft turning point and a hard wall; 2.4.2 Bohr-Sommerfeld quantization for two hard walls; 3. "Halved" Harmonic Oscillator: A Case Study; Introduction; 3.1 Solved Problems; 3.1.1 Dimensional analysis; 3.1.2 Order-of-magnitude estimate 327 $a3.1.3 Another order-of-magnitude estimate3.1.4 Straightforward WKB; 3.1.5 Exact solution; 4. Semi-Classical Matrix Elements of Observables and Perturbation Theory; 4.1 Solved problems; 4.1.1 Quantum expectation value of x6 in a harmonic oscillator; 4.1.2 Expectation value of r2 for a circular Coulomb orbit; 4.1.3 WKB approximation for some integrals involving spherical harmonics; 4.1.4 Ground state wave function of a one dimensional box; 4.1.5 Eigenstates of the harmonic oscillator at the origin: how a factor of two can restore a quantum-classical correspondence 327 $a4.1.6 Probability density distribution in a "straightened" harmonic oscillator 330 $aDimensional 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 p 606 $aQuantum theory 606 $aMany-body problem 606 $aDifferential equations, Partial 615 0$aQuantum theory. 615 0$aMany-body problem. 615 0$aDifferential equations, Partial. 676 $a530.12015118 700 $aOlshanii$b M$g(Maxim)$01714412 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910812655203321 996 $aBack-of-the-envelope quantum mechanics$94108199 997 $aUNINA LEADER 03353nas 2200901- 450 001 9910131927903321 005 20230522213016.0 011 $a1096-8644 035 $a(DE-599)ZDB1495833-8 035 $a(OCoLC)37952516 035 $a(CKB)954925377905 035 $a(CONSER)sn-97001323- 035 $a(EXLCZ)99954925377905 100 $a19971117b19182021 s-- a 101 0 $aeng 135 $aurmnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAmerican journal of physical anthropology 210 1$a[New York, NY] :$cWiley-Liss, Inc.,$d©1918- 215 $a1 online resource 300 $aTitle from table of contents screen (Wiley InterScience, viewed: May 31, 2006). 300 $aPublished: [Hoboken, N.J.] : Wiley-Liss, Inc., <2005-> 300 $aEditor: A Hrdli?ka, 1918- 311 08$a0002-9483 330 $aVolumes for 1930- include the Proceedings of the annual meeting of the American Association of Physical Anthropologists (sometimes issues as separately paged supplements); later issued separately as: Program of the ... Annual Meeting of the American Association of Physical Anthropologists, 1991- (alternates supplement numbering with: Yearbook of physical anthropology). 330 $aIncludes section "Literature." 410 0$aPublicación (Pan American Institute of Geography and History) ;$vno. 45. 517 1 $aPhysical anthropology 531 $aAMER J PHYS ANTHROPOL 531 $aAM J PHYS ANTHROPOL 531 $aAM J P ANTH 531 $aAmerican Journal of Physical Anthropology-New Series 531 $aAM. J. PHYS. ANTHROPOL 531 0 $aAm. j. phys. anthropol. 606 $aPhysical anthropology$vPeriodicals 606 $aAnthropology 606 $aPhysical anthropology$vPeriodicals 606 $aAnthropology 606 $aAnthropologie physique$xPériodiques 606 $aAnthropologie physique$vPériodiques 606 $aAnthropologie 606 $aanthropology$2aat 606 $aAnthropology$2fast$3(OCoLC)fst00810196 606 $aPhysical anthropology$2fast$3(OCoLC)fst01062357 606 $aAnthropologie$2gnd 606 $aZeitschrift$2gnd 606 $aOnline-Ressource$2gnd 606 $aFysische antropologie$2gtt 608 $aPeriodical 608 $aperiodicals.$2aat 608 $aPeriodicals.$2fast 608 $aPeriodicals.$2lcgft 608 $aPériodiques.$2rvmgf 615 0$aPhysical anthropology 615 0$aAnthropology. 615 0$aPhysical anthropology 615 2$aAnthropology 615 6$aAnthropologie physique$xPériodiques. 615 6$aAnthropologie physique 615 6$aAnthropologie. 615 7$aanthropology. 615 7$aAnthropology. 615 7$aPhysical anthropology. 615 7$aAnthropologie 615 7$aZeitschrift 615 7$aOnline-Ressource 615 17$aFysische antropologie. 676 $a573 702 $aHrdli?ka$b Ale?$f1869-1943, 712 02$aWistar Institute of Anatomy and Biology, 712 02$aAmerican Association of Physical Anthropologists, 712 02$aAmerican Association of Physical Anthropologists.$bAnnual meeting, 906 $aJOURNAL 912 $a9910131927903321 996 $aAmerican journal of physical anthropology$9802050 997 $aUNINA