Relativistic and Non-Relativistic Quantum Mechanics : Both at Once / by Luis Grave de Peralta, Maricela Fernández Lozada, Hira Farooq, Gage Eichman, Abhishek Singh, Gabrielle Prime.

Format:

Book

Author/Creator:

Grave de Peralta, Luis, author.

Series:

Undergraduate Lecture Notes in Physics, 2192-4805

Language:

English

Subjects (All):

Gravitation.

Particles (Nuclear physics).

Mechanics.

Classical and Quantum Gravity.

Particle Physics.

Classical Mechanics.

Local Subjects:

Classical and Quantum Gravity.

Particle Physics.

Classical Mechanics.

Physical Description:

1 online resource (177 pages)

Edition:

1st ed. 2023.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2023.

Summary:

Currently, relativistic quantum mechanics is considered an advanced topic only accessible to students who have already received considerable training in non-relativistic quantum mechanics. However, the authors believe that they have found an excellent pedagogic approach for simultaneously introducing both topics. This book is considered an Introductory Quantum Mechanics textbook that presents relativistic quantum mechanics to interested learners with no previous knowledge of it. The authors avoid utilization of the well-known Lorentz invariant equations. Additionally, they only refer to the Klein-Gordon and Dirac equations to justify the use of the Poveda-Poirier-Grave de Peralta (PPGP) equations, upon which this book is solely based (while sporadically referring to well-known results obtained using the Klein-Gordon and Dirac equations to avoid unnecessary complications in an introductory book). There also exist two complementary Schrödinger-like and Pauli-like PPGP equations, thesolutions of which are identical to the respective solutions of the Klein-Gordon and Dirac equations associated with negative kinetic energies. These equations’ relation to the existence of antiparticles is discussed. The intended readership is undergraduate physics, chemistry, and engineering students with no previous knowledge of quantum mechanics, as well as graduate students and professionals interested in the subject.

Contents:

The Need for Quantum Mechanics

The Wave Equation

Introducing Relativity in Quantum Mechanics

Other One-Dimensional Problems

Quantum Mechanics in Three Dimensions

Angular Momentum

Identical Particles

Some Consequences of Relativity for Quantum Mechanics.

Notes:

Includes bibliographical references.

Other Format:

Print version: Grave de Peralta, Luis Relativistic and Non-Relativistic Quantum Mechanics

ISBN:

3-031-37073-2