Understanding quantum science: a concise primer for students of chemistry, biochemistry, and physics
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton ; London ; New York
CRC Press, Taylor & Francis Group
2023
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| Edition: | First edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xiii, 104 Seiten Illustrationen, Diagramme (teilweise farbig) 234 mm |
| ISBN: | 9781032410838 9781032410852 |
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| 245 | 1 | 0 | |a Understanding quantum science |b a concise primer for students of chemistry, biochemistry, and physics |c Steven M. Pascal |
| 250 | |a First edition | ||
| 264 | 1 | |a Boca Raton ; London ; New York |b CRC Press, Taylor & Francis Group |c 2023 | |
| 264 | 4 | |c © 2023 | |
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Record in the Search Index
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Contents Preface. xi About the Author.xiii The Basics Chapter 1 Introducing Quantum Mechanics. 3 1.1 What is Quantum Mechanics?. 3 Chapter 2 The Schrödinger Equation. 5 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 Comparison with the Classical Wave Equation. 5 Complex Solution to the Classical Wave Equation. 6 What are к and ω?. 6 Why Does an Electron Need a Wave Equation?. 7 What’s Different About the Schrödinger Equation?. 7 Imaginary Probability?. 8 Replacing к and ω with p and E (for photons). 8 Extending These Two Equations to Electrons. 9 Chapter 3 Deriving the Schrödinger Equation. 11 Chapter 4 Operators, Oscillations, Uncertainty, and Quanta. 15 4.1 4.2 4.3 4.4 Chapter 5 Operators. 15 Oscillating
Probability. 16 Uncertainty. 16 Quanta. 17 Separation of Variables.19 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 What is “Separation of Variables”?.19 In Order to Separate Space from Time, the Potential Must be Time-Independent. 19 Plug the Separable Form of Ψ(χ,0 into the TDSE. 19 Separate into the TISE and SISE. 20 Separable Solution θ Single Energy - Eigenfunction. 21 Solving the SISE (once). 21 Solving the TISE (over and over). 22 Superposition of Eigenfunctions. 22 vii
Contents v*'· Chapter 6 ψ(χ): General Conditions, Normalization, Bra-kets. 23 6.1 6.2 6.3 General Conditions for ψ(χ). 23 Normalization of ψ(χ). 24 Dirac Bra-Ket Notation. 25 One-Dimensional Potentials Chapter 7 Solving the TISE for the Simplest Potentials. 29 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 Chapter 8 Free Particle. 29 Constant Potential: V=V Everywhere. 30 Potential Steps, Barriers, and Wells.31 Finite Potential Step: Case of E Vo. 31 Finite Potential Step: Case of E Vo (tunneling). 34 Finite Barrier of Finite Width: Case E Vo. 35 Finite Barrier of Finite Width: Case E Vo. 35 Finite Barrier of Finite Width: Case E Vo (finite well). 36 The One-Dimensional Particle in a Box. 39 8.1 Find the PIB Eigenfunctions. 39 8.2 Eigenfunction - Separable «- Stationary State «- Pure State. 40 8.3 Normalization. 41 8.4
Orthogonality. 42 8.5 Orthonormality. 42 8.6 Expectation Values. 42 Chapter 9 The Formal Postulates of Quantum Mechanics.45 9.1 9.2 9.3 Example: PIB Superposition of States. 46 Time-Dependence of a Superposition of States. 48 Hilbert Space. 48 Chapter 10 Simple Harmonic Oscillator (SHO): V = Ά kx2. 51 10.1 Classical SHO (Mass on a Spring, Ball in a Well). 51 10.2 Quantum SHO. 53 10.3 Creation/Annihilation Operators.55 Approximation Methods Chapter 11 Time-Independent Perturbation Theory (TIPT).61 11.1 Three Approximation Methods. 61 11.2 TIPT (Time-Independent Perturbation Theory). 61
Contents ix 11.3 Matrix Shorthand. 63 11.4 TIPT Example: PIB Perturbed by an Electric Field ε. 63 Chapter 12 Time-Dependent Perturbation Theory (TDPT). 65 12.1 TDPT. 65 12.2 TDPT Example 1: PIB Temporarily Perturbed by an Electric Field. 66 12.3 TDPT Example 2: Harmonic Perturbation (perturbation oscillates with time). 68 Chapter 13 Variational Method. 71 13.1 Variational Method Recipe. 71 13.2 Example: SHO Ground State. 71 Three-Dimensional Space: Atoms and Molecules Chapter 14 Generalization to 3D. 75 14.1 14.2 Chapter 15 Three-Dimensional Derivatives. 75 Angular TISE. 77 Angular Momentum. 83 15.1 Quantization of Orbital Angular Momentum (L). 83 15.2 Alternate Forms of Ρ(φ): Exponential and Trigonometric. 85 15.3 Spin Angular Momentum
(S).86 Chapter 16 Η-Atom: Solving the Radial TISE. 91 16.1 16.2 16.3 16.4 16.5 16.6 Radial Equation: Η-Atom Electron. 91 Four Radial Equations (^ = 0,1,2,3). 92 Radial Distance and Radial Nodes. 92 One Electron Ions. 93 Full 3D Solutions ψ(Γ,θ,φ). 93 Energies. 96 Chapter 17 Introduction to Multi-Electron Atoms, Molecules, and Spectroscopy. 99 Index 103 |
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| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Chemie / Pharmazie Physik |
| discipline_str_mv | Chemie / Pharmazie Physik |
| edition | First edition |
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| isbn | 9781032410838 9781032410852 |
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| spelling | Pascal, Steven M. Verfasser (DE-588)1321187823 aut Understanding quantum science a concise primer for students of chemistry, biochemistry, and physics Steven M. Pascal First edition Boca Raton ; London ; New York CRC Press, Taylor & Francis Group 2023 © 2023 xiii, 104 Seiten Illustrationen, Diagramme (teilweise farbig) 234 mm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index bicssc / Life sciences - general issues bicssc / Quantum physics (quantum mechanics & quantum field theory) bicssc / Molecular biology bicssc / Chemistry bicssc / Biochemistry bisacsh / SCIENCE / Physics / General bisacsh / SCIENCE / Chemistry / General Quantenphysik (DE-588)4266670-3 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Quantenbiochemie (DE-588)4176595-3 gnd rswk-swf Quantenchemie (DE-588)4047979-1 gnd rswk-swf Quantum theory Quantenphysik (DE-588)4266670-3 s Quantenchemie (DE-588)4047979-1 s Quantenbiochemie (DE-588)4176595-3 s Mathematische Physik (DE-588)4037952-8 s DE-604 Erscheint auch als Online-Ausgabe 978-1-003-35617-2 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034328363&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pascal, Steven M. Understanding quantum science a concise primer for students of chemistry, biochemistry, and physics bicssc / Life sciences - general issues bicssc / Quantum physics (quantum mechanics & quantum field theory) bicssc / Molecular biology bicssc / Chemistry bicssc / Biochemistry bisacsh / SCIENCE / Physics / General bisacsh / SCIENCE / Chemistry / General Quantenphysik (DE-588)4266670-3 gnd Mathematische Physik (DE-588)4037952-8 gnd Quantenbiochemie (DE-588)4176595-3 gnd Quantenchemie (DE-588)4047979-1 gnd |
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| title | Understanding quantum science a concise primer for students of chemistry, biochemistry, and physics |
| title_auth | Understanding quantum science a concise primer for students of chemistry, biochemistry, and physics |
| title_exact_search | Understanding quantum science a concise primer for students of chemistry, biochemistry, and physics |
| title_exact_search_txtP | Understanding quantum science a concise primer for students of chemistry, biochemistry, and physics |
| title_full | Understanding quantum science a concise primer for students of chemistry, biochemistry, and physics Steven M. Pascal |
| title_fullStr | Understanding quantum science a concise primer for students of chemistry, biochemistry, and physics Steven M. Pascal |
| title_full_unstemmed | Understanding quantum science a concise primer for students of chemistry, biochemistry, and physics Steven M. Pascal |
| title_short | Understanding quantum science |
| title_sort | understanding quantum science a concise primer for students of chemistry biochemistry and physics |
| title_sub | a concise primer for students of chemistry, biochemistry, and physics |
| topic | bicssc / Life sciences - general issues bicssc / Quantum physics (quantum mechanics & quantum field theory) bicssc / Molecular biology bicssc / Chemistry bicssc / Biochemistry bisacsh / SCIENCE / Physics / General bisacsh / SCIENCE / Chemistry / General Quantenphysik (DE-588)4266670-3 gnd Mathematische Physik (DE-588)4037952-8 gnd Quantenbiochemie (DE-588)4176595-3 gnd Quantenchemie (DE-588)4047979-1 gnd |
| topic_facet | bicssc / Life sciences - general issues bicssc / Quantum physics (quantum mechanics & quantum field theory) bicssc / Molecular biology bicssc / Chemistry bicssc / Biochemistry bisacsh / SCIENCE / Physics / General bisacsh / SCIENCE / Chemistry / General Quantenphysik Mathematische Physik Quantenbiochemie Quantenchemie |
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