Contact Interactions in Quantum Mechanics: Theory, Mathematical Aspects and Applications

Dennis Morris

This introduction to quantum mechanics is both reader-friendly and complete. Tit covers the conceptual and philosophical aspects of quantum mechanics before gently presenting the mathematics underlying the subject. After a chapter on the history of the theory, the whole of quantum mechanics is then presented, followed by applications of the theory and a revision chapter.

Alessandro Teta, Daniele Ferretti

Alessandro Teta, Daniele Ferretti

Nelson Enrique Bolivar, Gabriel Abellán

This volume will act as a guide through the various aspects of quantum mechanics. It not only covers the basics but also addresses new themes developed in the field of quantum mechanics in recent years. These include quantum mechanics in relation to electronics, quantum dots, spintronics, cryptography, and other more theoretical aspects, such as the path integral formulation and supersymmetric quantum mechanics. The volume presents a number of mathematical tools and physical consequences derived from quantum mechanics. The starting point of the volume is a very brief review of the phenomenology associated with the origins of quantum theory, as the branch of science was understood in the beginning of the 20th century, leading to an interpretation of the results at that time. Key features: • Provides understanding and demystification of the quantum theory • Presents applications to information theory and encryption • Introduces applications to medicine, in both treatment and diagnosis • Covers applications to modern communications systems • Looks at the philosophical implications of quantum mechanics, its reality, and its perception • Describes the application to the basics of solid state devices

Ş. Tunalı

Jay Kerr

A small group of simple, lateral assumptions about the structure and nature of space, some of them at the Planck scale, produces a new conceptual basis. The background theory allows a rederivation of several areas of theory it interprets, leading in other areas to alternative mathematics that closely mimics existing physics, but diverging enough for testable predictions. This paper focusses on the phenomenology of quantum mechanics (QM), with a nonlocal interpretation, in which the wave function is primarily ontic, but also has an epistemic aspect. It differs widely from all other interpretations for QM, but has general similarities to some objective collapse theories, and in particular to relational QM (RQM). State reduction is set off by interactions, not measurements, but unlike in RQM, the “exchange of information” between two systems is not only made possible by the interaction, it is a direct result of it. The interpretation includes an explanation for quantization, the probabilistic aspect of QM, entanglement, and state reduction as in decoherence.