Quantum mechanics in potential representation and applications / Arvydas Juozapas Janavic̆ius, Donatas Jurgaitis.

Format:

Book

Author/Creator:

Janavičius, Arvydas Juozapas, 1939- author.

Jurgaitis, Donatas, author.

Contributor:

World Scientific Pub. Co.

Rosengarten Family Fund.

Language:

English

Subjects (All):

Quantum theory.

Physical Description:

1 online resource

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2021]

Contents:

Intro

Contents

Preface

Introduction

Chapter 1: Quantum Nature of the Matter

1.1 The Structure of Atoms

1.2 The Schrödinger Equation

1.3 The Fundamental Forces

References

Chapter 2: Quantum Waves and Particles Diffusion in Physical Vacuum

2.1 Introduction

2.2 Diffusion of Quantum Waves

2.3 The Quantum Diffusion of an Electron in the Hydrogen Atom

2.4 Solution of the Quantum Diffusion Equation for the Tunnel Effect for a Rectangular Barrier

2.5 Conclusions

Chapter 3: Nuclear Forces

3.1 The Interactions between Nucleons

3.2 The Shell Model and Mean Field Potentials

Chapter 4: Systems of Micro Particles

Chapter 5: The Scattering Theory and Nuclear Reactions

5.1 Introduction

5.2 Nuclear Reactions and the Optical Model

5.3 Inverse Tasks of Scattering

Chapter 6: The Schrodinger Equation in Potential Representation

6.1 Introduction

6.2 Solution in the Case of s-Waves

6.3 The Case of Large Nuclei

6.4 Numerical Results and Conclusions

Chapter 7: A General Solution of the Schrodinger Equation

7.1 Introduction

7.2 General Solution

7.3 Numerical Results and Conclusions

Chapter 8: The General Solutions for Positive and Negative Energies

8.1 Introduction

8.2 The Integral Equation for Positive Energies in the Potential Representation

8.3 The Integral Equation for Negative Energies in the Potential Representation

8.4 Numerical Results and Conclusions

Chapter 9: The Connection between Scattering Matrices for Different Potentials

9.1 Introduction

9.2 Integral Equations for Positive Energies

9.3 Connection of Potential Representation Method with Green's Functions

9.4 The Scattering Matrix

Chapter 10: The Separation of the Scattering Matrix from the Coulomb Field

10.1 Introduction

10.2 Obtaining Integral Equations

10.3 Obtaining the Scattering Matrix

Chapter 11: The General Solution for Bound States of the Woods-Saxon Potential

11.1 Introduction

11.2 The Derivation of Integral Equations

11.3 The Accuracy and Convergence of the Obtained Solutions

11.4 Conclusions

References

Chapter 12: The Perturbation Theory for Bound States

12.1 Introduction

12.2 Standard Green's Functions

Chapter 13: The Perturbation Method of Variation of Free Constants

13.1 Green's and Undefined Functions

Chapter 14: Green's Functions and Non-physical Solutions

14.1 Introduction

14.2 Non-physical Solutions of the Radial Schrodinger Equation

14.3 Derivation of the Integral Equation

14.4 Results and Conclusions

Chapter 15: The Potential Representation Method for Non-spherical Perturbations

15.1 Introduction

Notes:

Includes bibliographical references and index.

Electronic reproduction. Singapore Available via World Wide Web.

Online resource; title from digital title page (viewed on September 15, 2020).

Local Notes:

Acquired for the Penn Libraries with assistance from the Rosengarten Family Fund.

Other Format:

Print version:

ISBN:

9789811216664

9811216665

Publisher Number:

99996427971

Access Restriction:

Restricted for use by site license.