Presents a unique approach to grasping the concepts of quantum theory with a focus on atoms, clusters, and crystals

Quantum theory of atoms and molecules is vitally important in molecular physics, materials science, nanoscience, solid state physics and many related fields. Introductory Quantum Mechanics with MATLAB is designed to be an accessible guide to quantum theory and its applications. The textbook uses the popular MATLAB programming language for the analytical and numerical solution of quantum mechanical problems, with a particular focus on clusters and assemblies of atoms.

The textbook is written by a noted researcher and expert on the topic who introduces density functional theory, variational calculus and other practice-proven methods for the solution of quantum-mechanical problems. This important guide:

-Presents the material in a didactical manner to help students grasp the concepts and applications of quantum theory

-Covers a wealth of cutting-edge topics such as clusters, nanocrystals, transitions and organic molecules

-Offers MATLAB codes to solve real-life quantum mechanical problems

Written for master’s and Ph D students in physics, chemistry, material science, and engineering sciences, Introductory Quantum Mechanics with MATLAB contains an accessible approach to understanding the concepts of quantum theory applied to atoms, clusters, and crystals.

Quantum theory of atoms and molecules is vitally important in molecular physics, materials science, nanoscience, solid state physics and many related fields. Introductory Quantum Mechanics with MATLAB is designed to be an accessible guide to quantum theory and its applications. The textbook uses the popular MATLAB programming language for the analytical and numerical solution of quantum mechanical problems, with a particular focus on clusters and assemblies of atoms.

The textbook is written by a noted researcher and expert on the topic who introduces density functional theory, variational calculus and other practice-proven methods for the solution of quantum-mechanical problems. This important guide:

-Presents the material in a didactical manner to help students grasp the concepts and applications of quantum theory

-Covers a wealth of cutting-edge topics such as clusters, nanocrystals, transitions and organic molecules

-Offers MATLAB codes to solve real-life quantum mechanical problems

Written for master’s and Ph D students in physics, chemistry, material science, and engineering sciences, Introductory Quantum Mechanics with MATLAB contains an accessible approach to understanding the concepts of quantum theory applied to atoms, clusters, and crystals.

1 Introduction to quantum theory

2 One electron atoms

2.1 The Bohr atom

2.2 The Schrödinger equation

2.3 The electronic structure of atoms and the periodic table

3 Multi-electron systems: atoms and molecules

3.1 The variational principle

3.2 The Hartree approximation

3.3 The Hartree-Fock approximation

4 The electron gas

4.1 The free electron model

4.2 The Thomas-Fermi approximation

4.2 Exchange interactions

5 Density functional theory

5.1 The Hohenberg-Kohn-Sham Theory

5.2 The Kohn-Sham equation

6 Pseudopotential theory

Part 2 Numerical Methods

7 Methods for atoms

7.1 Variational methods

7.2 Integration methods

8 Methods for molecules and clusters

8.1 Basis set methods

8.2 Grid methods

8.3 Diagonalization methods

8.4 Filtering methods

9 MATLABR codes for atoms and molecules

Part 3 Applications

10 Atoms

10.1 Energy levels and orbitals

10.2 Ionization and affinity energies

10.3 Polarizabilities

11 Diatomic and Simple Molecues

11.1 Chemical trends and ionicity

11.2 Energy levels and orbitals

11.3 Binding energies and vibrational modes

12 Clusters

12.1 Special form of matter

12.2 The structure of clusters

12.2 Role of quantum confinement

12.2 Energy levels and orbitals

12.3 Binding energies and vibrational modes

Appendix

A Units

B Matlab codes

Bibliography

### Table of Content

Part 1 Theory1 Introduction to quantum theory

2 One electron atoms

2.1 The Bohr atom

2.2 The Schrödinger equation

2.3 The electronic structure of atoms and the periodic table

3 Multi-electron systems: atoms and molecules

3.1 The variational principle

3.2 The Hartree approximation

3.3 The Hartree-Fock approximation

4 The electron gas

4.1 The free electron model

4.2 The Thomas-Fermi approximation

4.2 Exchange interactions

5 Density functional theory

5.1 The Hohenberg-Kohn-Sham Theory

5.2 The Kohn-Sham equation

6 Pseudopotential theory

Part 2 Numerical Methods

7 Methods for atoms

7.1 Variational methods

7.2 Integration methods

8 Methods for molecules and clusters

8.1 Basis set methods

8.2 Grid methods

8.3 Diagonalization methods

8.4 Filtering methods

9 MATLABR codes for atoms and molecules

Part 3 Applications

10 Atoms

10.1 Energy levels and orbitals

10.2 Ionization and affinity energies

10.3 Polarizabilities

11 Diatomic and Simple Molecues

11.1 Chemical trends and ionicity

11.2 Energy levels and orbitals

11.3 Binding energies and vibrational modes

12 Clusters

12.1 Special form of matter

12.2 The structure of clusters

12.2 Role of quantum confinement

12.2 Energy levels and orbitals

12.3 Binding energies and vibrational modes

Appendix

A Units

B Matlab codes

Bibliography

### About the author

James Chelikowsky, PhD, is director of the center for computational materials at the University of Texas Austin. His research is centered on computational physics in materials science and the application of quantum theory to real materials. Language

**English**● Format**EPUB**● Pages**224**● ISBN**9783527655007**● File size**10.3 MB**● Publisher**Wiley-VCH Verlag GmbH & Co. KGaA**● Published**2018**● Downloadable**24 months**● Currency**EUR**● ID**6648026**● Copy protection**Adobe DRM**Requires a DRM capable ebook reader