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Quantum Mechanics: Theory, Analysis, and Applications

Editat de Arbab Ibrahim Arbab
en Limba Engleză Hardback – 9 noi 2018

În literatura academică dedicată fizicii, majoritatea tratatelor tind să se concentreze fie pe formalismul istoric, fie pe aplicații tehnice standard, lăsând adesea un gol în ceea ce privește teoriile alternative care pot redefini bazele disciplinei. Quantum Mechanics: Theory, Analysis, and Applications, editat de Arbab Ibrahim Arbab, vine să completeze această lacună prin prezentarea unor cercetări de pionierat care explorează fundamentele mecanicii cuantice din unghiuri inedite. Reținem în mod deosebit efortul autorilor de a unifica ecuațiile fundamentale ale lui Schrödinger, Dirac și Klein-Gordon într-o singură ecuație cuaternionică, o abordare care oglindește eleganța teoriei lui Maxwell.

Structura celor douăsprezece capitole indică o progresie de la instrumente analitice riguroase la interogații epistemologice profunde. Primele secțiuni analizează interacțiunile optomecanice cuadratice și cuantificarea sistemelor disipative, în timp ce a doua jumătate a volumului introduce o perspectivă bio-psihologică surprinzătoare, esențială pentru a înțelege problema măsurătorii în fizica cuantică. Găsim aici o alternativă solidă la The Theoretical Foundations of Quantum Mechanics pentru cursurile de mecanică cuantică avansată, cu avantajul că Quantum Mechanics: Theory, Analysis, and Applications nu se limitează la fundamente, ci propune modele noi de probabilitate fracționară și reinterpretări ale mecanicii bohemiene. Față de Theory of Quanta de Marian Apostol, care urmărește emergența istorică a disciplinei, volumul de față este orientat spre viitor, explorând dacă timpul este o variabilă intrinsecă sau dacă simetria poate servi ca axiomă de bază în reformularea teoriei.

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Specificații

ISBN-13: 9781536142082
ISBN-10: 1536142085
Pagini: 281
Dimensiuni: 152 x 229 x 19 mm
Greutate: 0.7 kg
Editura: Nova Science Publishers Inc
Colecția Nova Science Publishers Inc
Locul publicării:United States

De ce să citești această carte

Recomandăm această lucrare cercetătorilor și cadrelor didactice care doresc să depășească limitele manualelor convenționale. Cititorul câștigă acces la teorii matematice avansate, precum formalismul cuaternionic și probabilitatea fracționară, instrumente care oferă soluții noi pentru problemele clasice de observație și interpretare. Este un volum esențial pentru cei care caută o înțelegere non-standard și multidisciplinară a fenomenelor cuantice contemporane.


Descriere

This book is a collection of pioneering research that deals with quantum mechanics from the novel point of view, ranging from theoretical to applications. Quantum mechanics and its application is one of the very progressive fields that is currently governing our technology in industry and science. It has been a long time since Schrodinger, Born, Dirac, Klein-Gordon, Schwinger, Feynman, etc. had laid the foundations of quantum mechanics. There were recently some interesting theories that are not widely known that could shape our future of quantum mechanics and its application. A new understanding is brought that deserves to be promoted worldwide. The authors aim in this book to highlight these new issues and share them with researchers and educators who are highly involved in the foundation of quantum mechanics and its application. The book consists of twelve chapters involving theory, analysis and applications. Chapter One deals with some recent progress in the theory and analytical tools of quadratic optomechanical interactions, as one of the prominent domains of contemporary nonlinear quantum optics. Chapter Two introduces a new quantum mechanics that beautifully merges Schrodinger, Dirac and Klein-Gordon equations into a single quaternionic equation. The formulation of this quantum mechanics shares the one developed in Maxwells theory. Chapter Three is concerned with developing a nonrelativistic and relativistic quantum theory of the photoeffect in the form of ionization of the atom, which is the extension of the old theory of the photoeffect. In Chapter Four, based on the analogy with the classical continuity equation, the equations of Fick and Hamilton-Jacobi, a nonlinear differential equation is derived that describes the mechanical evolution of matter as a primary fluid. In Chapter Five, a quantization of general linear dissipative systems is discussed. In Chapter Six, a quantization process that circumvents the use of the Hamiltonian approach and derives the Schrodinger equation from its first principles is developed. The remaining chapters deal with a complementary understanding on quantum mechanics from a bio-psychological perspective that helps better elucidate the weird aspects of the measurement problem in quantum mechanics, since physics in general depends on observation and interpretation, which are bio-psychological functions. Treating a symmetry as a foundational concept, quantum mechanics and measurement axioms based on abstraction of physical entities by their symmetries is reformulated. Fundamental questions, like Is quantum mechanics really timeless? are raised. Questions related to the relationship between theories and models in science are investigated. Fundamental issues to describe the main elements of a possible theory of fractional probability, which could deal with defects in observation or defect in definition are analyzed. Bohmian quantum mechanics with novel reinterpretations that provide a new understanding of quantum mechanics is advocated.

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