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The Resource Backoftheenvelope quantum mechanics : with extensions to manybody systems and integrable PDEs, Maxim Olshanii, University of Massachusetts Boston, USA
Backoftheenvelope quantum mechanics : with extensions to manybody systems and integrable PDEs, Maxim Olshanii, University of Massachusetts Boston, USA
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The item Backoftheenvelope quantum mechanics : with extensions to manybody systems and integrable PDEs, Maxim Olshanii, University of Massachusetts Boston, USA represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Backoftheenvelope quantum mechanics : with extensions to manybody systems and integrable PDEs, Maxim Olshanii, University of Massachusetts Boston, USA represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 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 p
 Language

 eng
 eng
 Extent
 1 online resource (170 p.)
 Note
 Description based upon print version of record
 Contents

 Preface; Contents; 1. Ground State Energy of a Hybrid HarmonicQuartic 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 Orderofmagnitude estimate: full solution; 1.1.3.1 Orderofmagnitude estimates visavis dimensional analysis; 1.1.3.2 Harmonic vs. quartic regimes; 1.1.3.3 The harmonic oscillator alone
 1.1.3.4 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. BohrSommerfeld Quantization; 2.1 Solved problems; 2.1.1 A semiclassical analysis of the spectrum of a harmonic oscillator: the exact solution, an orderofmagnitude estimate, and dimensional analysis; 2.1.2 WKB treatment of a "straightened" harmonic oscillator; 2.1.3 Ground state energy in powerlaw potentials; 2.1.4 Spectrum of powerlaw potentials
 2.1.5 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 BohrSommerfeld quantization for periodic boundary conditions; 2.2.3 Ground state energy of multidimensional powerlaw potentials; 2.2.4 Ground state energy of a logarithmic potential; 2.2.5 Spectrum of a logarithmic potential
 2.2.6 1D box as a limit of powerlaw potentials2.2.7 Spin1/2 in the field of a wire; 2.2.8 Dimensional analysis of the timedependent Schrodinger equation for a hybrid harmonicquartic oscillator; 2.3 Background; 2.3.1 BohrSommerfeld quantization; 2.3.2 Multidimensional WKB; 2.4 Problems linked to the "Background"; 2.4.1 BohrSommerfeld quantization for one soft turning point and a hard wall; 2.4.2 BohrSommerfeld 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 Orderofmagnitude estimate
 3.1.3 Another orderofmagnitude estimate3.1.4 Straightforward WKB; 3.1.5 Exact solution; 4. SemiClassical 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 quantumclassical correspondence
 4.1.6 Probability density distribution in a "straightened" harmonic oscillator
 Isbn
 9789814508476
 Label
 Backoftheenvelope quantum mechanics : with extensions to manybody systems and integrable PDEs
 Title
 Backoftheenvelope quantum mechanics
 Title remainder
 with extensions to manybody systems and integrable PDEs
 Statement of responsibility
 Maxim Olshanii, University of Massachusetts Boston, USA
 Language

 eng
 eng
 Summary
 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 p
 Cataloging source
 MiAaPQ
 http://library.link/vocab/creatorName
 Olshanii, M.
 Dewey number
 530.12
 Illustrations

 illustrations
 charts
 Index
 index present
 Language note
 English
 LC call number
 QC174.12
 LC item number
 .O47 2014
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName
 Quantum theory
 Label
 Backoftheenvelope quantum mechanics : with extensions to manybody systems and integrable PDEs, Maxim Olshanii, University of Massachusetts Boston, USA
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Preface; Contents; 1. Ground State Energy of a Hybrid HarmonicQuartic 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 Orderofmagnitude estimate: full solution; 1.1.3.1 Orderofmagnitude estimates visavis dimensional analysis; 1.1.3.2 Harmonic vs. quartic regimes; 1.1.3.3 The harmonic oscillator alone
 1.1.3.4 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. BohrSommerfeld Quantization; 2.1 Solved problems; 2.1.1 A semiclassical analysis of the spectrum of a harmonic oscillator: the exact solution, an orderofmagnitude estimate, and dimensional analysis; 2.1.2 WKB treatment of a "straightened" harmonic oscillator; 2.1.3 Ground state energy in powerlaw potentials; 2.1.4 Spectrum of powerlaw potentials
 2.1.5 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 BohrSommerfeld quantization for periodic boundary conditions; 2.2.3 Ground state energy of multidimensional powerlaw potentials; 2.2.4 Ground state energy of a logarithmic potential; 2.2.5 Spectrum of a logarithmic potential
 2.2.6 1D box as a limit of powerlaw potentials2.2.7 Spin1/2 in the field of a wire; 2.2.8 Dimensional analysis of the timedependent Schrodinger equation for a hybrid harmonicquartic oscillator; 2.3 Background; 2.3.1 BohrSommerfeld quantization; 2.3.2 Multidimensional WKB; 2.4 Problems linked to the "Background"; 2.4.1 BohrSommerfeld quantization for one soft turning point and a hard wall; 2.4.2 BohrSommerfeld 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 Orderofmagnitude estimate
 3.1.3 Another orderofmagnitude estimate3.1.4 Straightforward WKB; 3.1.5 Exact solution; 4. SemiClassical 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 quantumclassical correspondence
 4.1.6 Probability density distribution in a "straightened" harmonic oscillator
 Dimensions
 unknown
 Extent
 1 online resource (170 p.)
 Form of item
 online
 Isbn
 9789814508476
 Media category
 computer
 Media type code
 c
 Specific material designation
 remote
 System control number

 (CKB)2550000001160079
 (EBL)1561246
 (OCoLC)860388605
 (SSID)ssj0001153164
 (PQKBManifestationID)11682140
 (PQKBTitleCode)TC0001153164
 (PQKBWorkID)11151048
 (PQKB)10219428
 (MiAaPQ)EBC1561246
 (WSP)00008811
 (EXLCZ)992550000001160079
 Label
 Backoftheenvelope quantum mechanics : with extensions to manybody systems and integrable PDEs, Maxim Olshanii, University of Massachusetts Boston, USA
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Preface; Contents; 1. Ground State Energy of a Hybrid HarmonicQuartic 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 Orderofmagnitude estimate: full solution; 1.1.3.1 Orderofmagnitude estimates visavis dimensional analysis; 1.1.3.2 Harmonic vs. quartic regimes; 1.1.3.3 The harmonic oscillator alone
 1.1.3.4 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. BohrSommerfeld Quantization; 2.1 Solved problems; 2.1.1 A semiclassical analysis of the spectrum of a harmonic oscillator: the exact solution, an orderofmagnitude estimate, and dimensional analysis; 2.1.2 WKB treatment of a "straightened" harmonic oscillator; 2.1.3 Ground state energy in powerlaw potentials; 2.1.4 Spectrum of powerlaw potentials
 2.1.5 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 BohrSommerfeld quantization for periodic boundary conditions; 2.2.3 Ground state energy of multidimensional powerlaw potentials; 2.2.4 Ground state energy of a logarithmic potential; 2.2.5 Spectrum of a logarithmic potential
 2.2.6 1D box as a limit of powerlaw potentials2.2.7 Spin1/2 in the field of a wire; 2.2.8 Dimensional analysis of the timedependent Schrodinger equation for a hybrid harmonicquartic oscillator; 2.3 Background; 2.3.1 BohrSommerfeld quantization; 2.3.2 Multidimensional WKB; 2.4 Problems linked to the "Background"; 2.4.1 BohrSommerfeld quantization for one soft turning point and a hard wall; 2.4.2 BohrSommerfeld 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 Orderofmagnitude estimate
 3.1.3 Another orderofmagnitude estimate3.1.4 Straightforward WKB; 3.1.5 Exact solution; 4. SemiClassical 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 quantumclassical correspondence
 4.1.6 Probability density distribution in a "straightened" harmonic oscillator
 Dimensions
 unknown
 Extent
 1 online resource (170 p.)
 Form of item
 online
 Isbn
 9789814508476
 Media category
 computer
 Media type code
 c
 Specific material designation
 remote
 System control number

 (CKB)2550000001160079
 (EBL)1561246
 (OCoLC)860388605
 (SSID)ssj0001153164
 (PQKBManifestationID)11682140
 (PQKBTitleCode)TC0001153164
 (PQKBWorkID)11151048
 (PQKB)10219428
 (MiAaPQ)EBC1561246
 (WSP)00008811
 (EXLCZ)992550000001160079
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.umanitoba.ca/portal/Backoftheenvelopequantummechanicswith/YnuvuG0P7CI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.umanitoba.ca/portal/Backoftheenvelopequantummechanicswith/YnuvuG0P7CI/">Backoftheenvelope quantum mechanics : with extensions to manybody systems and integrable PDEs, Maxim Olshanii, University of Massachusetts Boston, USA</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lib.umanitoba.ca/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.umanitoba.ca/">University of Manitoba Libraries</a></span></span></span></span></div>