Schrödinger Diffusion Processes

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Focusing on a pivotal question posed by Erwin Schrödinger in 1931, this book explores the "most probable" state of a cloud of identical particles observed at specific times. It delves into conditional diffusion processes and non-linear integral equations to provide a comprehensive analysis. The first chapter offers historical context and foundational concepts, while subsequent chapters present three distinct methodologies: multiplicative functional transformation, relative entropy projection, and functional variation. Aimed at graduate students, it applies advanced probability theory to quantum mechanics.