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Cover Art
Author Peña, Luis de la, author.

Title The emerging quantum : the physics behind quantum mechanics / Luis de la Peña, Ana María Cetto, Andrea Valdés Hernández.

Published Cham : Springer, [2014]


Location Call No. Status
Physical description 1 online resource (xiii, 366 pages) : illustrations
Series Springer English/International eBooks 2015 - Full Set
Bibliography Includes bibliographical references and index.
Contents Preface; Contents; 1 Quantum Mechanics: Some Questions; 1.1 On Being Principled ... At Least on Sundays; Appendix A: The Ensemble Meaning of Probability; 1.1.1 The Sins of Quantum Mechanics; 1.2 The Two Basic Readings of the Quantum Formalism; 1.2.1 The Need for an Interpretation; 1.2.2 A Single System, or an Ensemble of Them?; 1.3 Is Realism Still Alive?; 1.4 What is this Book About?; 1.4.1 The Underlying Hypothesis; 1.4.2 The System Under Investigation; References; 2 The Phenomenological Stochastic Approach: A Short Route to Quantum Mechanics.
2.1 Why a Phenomenological Approach to Quantum Mechanics?2.2 The Stochastic Description of Quantum Mechanics; 2.3 Stochastic Quantum Mechanics; 2.3.1 Kinematics; 2.3.2 Spatial Probability Density and Diffusive Velocity; 2.3.3 Dynamics; 2.3.4 Integrating the Equation of Motion; 2.3.5 Quantum and Classical Stochastic Processes; 2.4 On Schrödinger-Like Equations; 2.5 Stochastic Quantum Trajectories; 2.5.1 Wavelike Patterns; 2.6 Extensions of the Theory, Some Brief Comments, and Assessment; 2.6.1 A Summing Up; References.
3 The Planck Distribution, a Necessary Consequence of the Fluctuating Zero-Point Field3.1 Thermodynamics of the Harmonic Oscillator; 3.1.1 Unfolding the Zero-Point Energy; 3.2 General Thermodynamic Equilibrium Distribution; 3.2.1 Thermal Fluctuations of the Energy; 3.2.2 Some Consequences of the Recurrence Relation; 3.3 Planck's Law from the Thermostatistics of the Harmonic Oscillator; 3.3.1 General Statistical Equilibrium Distribution; 3.3.2 Mean Energy as Function of Temperature; Planck's Formula ; 3.4 Planck, Einstein and the Zero-Point Energy.
3.4.1 Comments on Planck's Original Analysis3.4.2 Einstein's Revolutionary Step; 3.4.3 Disclosing the Zero-Point Field; 3.5 Continuous Versus Discrete; 3.5.1 The Partition Function; 3.5.2 The Origin of Discreteness; 3.6 A Quantum Statistical Distribution; 3.6.1 Total Energy Fluctuations; 3.6.2 Quantum Fluctuations and Zero-Point Fluctuations; 3.6.3 Comments on the Reality of the Zero-Point Fluctuations; References; 4 The Long Journey to the Schrödinger Equation; 4.1 Elements of the Dynamics; 4.1.1 The Equation of Motion; 4.1.2 Basic Properties of the Zero-Point Field.
4.2 Generalized Fokker-Planck Equation in Phase Space4.2.1 Some Important Relations for Average Values; 4.3 Transition to Configuration Space; 4.3.1 A Digression: Transition to Momentum Space; 4.3.2 A Hierarchy of Coupled Transfer Equations; 4.4 The Schrödinger Equation; 4.4.1 The Radiationless Approximation; 4.4.2 Statistical and Quantum Averages; 4.4.3 Stationary Schrödinger Equation; 4.4.4 Detailed Energy Balance: The Entry Point for Planck's Constant; 4.4.5 Schrödinger's i; 4.5 Further Insights into the Quantum Description; 4.5.1 Fluctuations of the Momentum.
Summary This monograph presents the latest findings from a long-term research project intended to identify the physics behind Quantum Mechanics. A fundamental theory for quantum mechanics is constructed from first physical principles, revealing quantization as an emergent phenomenon arising from a deeper stochastic process. As such, it offers the vibrant community working on the foundations of quantum mechanics an alternative contribution open to discussion. The book starts with a critical summary of the main conceptual problems that still beset quantum mechanics. The basic consideration is then intro.
Other author Cetto, Ana María, author.
Valdés, Andrea, author.
SpringerLink issuing body.
Subject Quantum theory.
Electronic books.
ISBN 9783319078939
Standard Number 10.1007/978-3-319-07893-9