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E-grāmata: Quantum Mechanics: Detailed Historical, Mathematical and Computational Approaches [Taylor & Francis e-book]

(Federal University of Rio Grande do Norte, Brazil)
  • Formāts: 462 pages, 15 Tables, black and white; 6 Line drawings, color; 25 Line drawings, black and white; 3 Halftones, color; 9 Illustrations, color; 25 Illustrations, black and white
  • Izdošanas datums: 16-Jun-2022
  • Izdevniecība: CRC Press
  • ISBN-13: 9781003050582
  • Taylor & Francis e-book
  • Cena: 271,26 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Standarta cena: 387,50 €
  • Ietaupiet 30%
  • Formāts: 462 pages, 15 Tables, black and white; 6 Line drawings, color; 25 Line drawings, black and white; 3 Halftones, color; 9 Illustrations, color; 25 Illustrations, black and white
  • Izdošanas datums: 16-Jun-2022
  • Izdevniecība: CRC Press
  • ISBN-13: 9781003050582

Main features:
i) A different approach for teaching Quantum Mechanics encompassing old quantum mechanics, matrix mechanics and wave mechanics in a historical perspective which helps to consolidate most important concepts of Quantum Mechanics;
ii) Original information from the most important papers of Quantum Mechanics;
iii) Derivation of all important equations of Quantum Mechanics, for example, Heisenberg’s uncertainty principle, de Broglie’s wave-particle duality, Schrödinger’s wave equation, etc., showing their interrelations through Dirac’s equations and other applications of matrix and wave mechanics;
iv) Comprehensive mathematical support for the understanding of Quantum Mechanics; derivation of all equations make reading easier;
v) The illustrations of the book cover examples, exercises and do-it-yourself activities;
vi) Fundamentals of Fortran and numerical calculation along with the source codes for numerical solutions of several mathematical and quantum problems. All source codes are in the author’s site: (https://www.fortrancodes.com/);
vii) Chapters devoted to linear algebra and differential equations applied to quantum mechanics and their numerical solutions;
viii) Complete solution for the one-electron and two-electron problems using Schrödinger’s time independent equation along with their source codes.



Derivation of all important equations of Quantum Mechanics, for example, Heisenberg’s uncertainty principle, de Broglie’s wave-particle duality, Schrödinger’s wave equation, etc, showing their interrelations through Dirac’s equations and other applications of matrix and wave mechanics;

Preface v
Part One Computational and Mathematical Support
1 Basics of Fortran
3(45)
2 Basics of Numerical Calculation and Series
48(32)
3 Linear Algebra for Quantum Mechanics
80(47)
4 Differential Equations for Quantum Mechanics
127(52)
Part Two Old Quantum Mechanics, Matrix Mechanics and Wave Mechanics
5 Absorption/Emission Spectroscopy and Spectral Lines
179(10)
6 Black-body Radiation, Einstein and Planck's Law
189(17)
7 Bohr, Sommerfeld and Old Quantum Mechanics
206(17)
8 Heisenberg's Matrix Quantum Mechanics
223(27)
9 Wave Packet and de Broglie's Wave-particle Duality
250(13)
10 Schrodinger's Wave Quantum Mechanics
263(27)
11 Applications of Matrix and Wave Quantum Mechanics
290(18)
12 Lande, Pauli, Dirac and Spin
308(20)
13 Boltzmann and Fermi-Dirac Statistics
328(7)
Part Three Schrodinger's Solutions to One and Two-electron Problems
14 One-particle Quantum Harmonic Oscillator
335(22)
15 Particle in a Box
357(7)
16 Particle in a Circular Motion and Angular Momentum
364(21)
17 Hydrogen-like Atom and Atomic Orbitals
385(41)
18 Helium Atom, Variational Method and Perturbation Theory
426(20)
Appendix: Special Case of the Associated Laguerre Equation 446(5)
Index 451
Caio Lima Firme, PhD in Theoretical Chemistry (Doctor of Science) and since 2006 he has been working with Quantum Theory of Atoms in Molecules (QTAIM), Density Functional Theory (DFT), among other methods applied to Organic Chemistry and Inorganic Chemistry. Some equations he developed were the D3BIA aromaticity index, the stability parameters of cyclophanes and the Local Potential Energy Density (LPE) for the analysis of intermolecular interactions and chemical bonds. Some of his important contributions to QTAIM are the linear relation between the delocalization index and formal bond order and the hydrogen-hydrogen bonding applied to alkanes and alkenes. He is Assistant Professor at Federal University of Rio Grande do Norte and had taught Quantum Mechanics and Quantum Chemistry at UFRN. He has one patent and 37 papers so far. Recently, he has written the book Introductory Organic Chemistry and Hydrocarbons: A Physical Chemistry Approach, published by CRC Press/Taylor & Francis Group.