Download Structure of the Schrödinger Dynamics: Rediscovery of Quantum Mechanics 2026
This book presents a fresh perspective on quantum theory, seeking to move beyond both the remarkable achievements of the Schrodinger equation and the persistent debates surrounding the interpretation of quantum phenomena. By introducing a new theoretical framework, it explores the physical foundations of quantum mechanics and establishes new connections between quantum dynamics and stochastic processes.
The discussion is organized around three fundamental developments. First, the Schrödinger equation is derived from first principles, offering a deeper understanding of the physical significance of the wave function and the equation governing quantum systems. Second, the book introduces a matrix-valued quantum path integral with a well-defined integration measure, formulated as the Green’s function of a real-valued Schrödinger equation. This construction establishes the convergence of the Feynman path integral and clarifies the fundamental connection between quantum mechanics and stochastic processes through the Feynman–Kac formula. Third, quantum stochastic differential equations are developed to describe the evolution of individual quantum events, rather than relying exclusively on ensemble-based descriptions. Together, these advances provide an alternative framework for investigating the dynamics and underlying mechanisms of quantum phenomena.
The proposed theory leads to a broad range of important theoretical implications. These include a reassessment of wave-function collapse, the spontaneous disentanglement of quantum states and its implications for long-range correlations, and a dynamical account of probability and uncertainty relations. Further topics include the emergence of quantum canonical equations of motion and their relationship to classical Hamiltonian mechanics, the symmetry and asymmetry of time reversal, and the fundamental correspondence between quantum theory and stochastic process theory. The book also examines the physical mechanisms responsible for the formation of interference patterns in the double-slit experiment, offering additional insight into one of the most fundamental phenomena in quantum physics.
Designed for graduate students and researchers with a solid background in quantum mechanics, including knowledge acquired through standard texts such as Dirac’s, this book is also relevant to scientists across a wide range of quantum-related disciplines. Its applications and theoretical discussions will be of particular interest to specialists in quantum physics and measurement, quantum chemistry, quantum biology, quantum technologies, quantum information theory, and single-event quantum dynamics. By addressing fundamental questions about the nature and interpretation of quantum mechanics, the book provides a valuable resource for researchers seeking alternative theoretical approaches and a deeper understanding of the foundations of quantum theory.
eBook details
- Author (s): Kazuo Takatsuka
- Publication year: 2026
- Publisher: Springer
- Language: English
- ISBN: 9819219094, 9789819219094, 9789819219100
- Pages: 561
- Book format: PDF
- File size: 3 MB
