Shouldn't there be an antithesis to quantization?

Abstract

We raise the possibility of developing a theory of constructing quantum dynamical observables independent from quantization and deriving classical dynamical observables from pure quantum mechanical consideration. We do so by giving a detailed quantum mechanical derivation of the classical time of arrival at arbitrary arrival points for a particle in one dimension.

Stray factors of 2Pi have been removed in equations-10, 11 and 55, plus other minor corrections

References in corpus (4)

• A measurement-based approach to quantum arrival times
• Atomic time-of-arrival measurements with a laser of finite beam width
• Optimal atomic detection by control of detuning and spatial dependence of laser intensity
• The Rigged Hilbert Space of the Free Hamiltonian

Cited by in corpus (19)

• The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential
• Times of Arrival and Gauge Invariance
• Quantizations of the classical time of arrival and their dynamics
• Quantum Traversal Time Across a Potential Well
• Quantum free fall motion and quantum violation of weak equivalence principle
• Can the double-slit experiment distinguish between quantum interpretations?
• Relativistic free motion time of arrival operator for massive spin-0 particles with positive energy
• The Bender-Dunne basis operators as Hilbert space operators
• Time-of-arrival distributions for continuous quantum systems and application to quantum backflow
• Characterizing Multiple Solutions to the Time - Energy Canonical Commutation Relation via Internal Symmetries
• A one-particle time of arrival operator for a free relativistic spin-0 charged particle in (1+1) dimensions
• Conjugates to One Particle Hamiltonians in 1-Dimension in Differential Form
• Falsification of a Time Operator Model based on Charge-Conjugation-Parity violation of neutral K-mesons
• A Relativistic One-Particle Time of Arrival Operator for a Free Spin-1/2 Particle in (1 + 1) Dimensions
• Synchronizing quantum and classical clocks made of quantum particles
• The role of conjugacy in the dynamics of time of arrival operators
• Formulation of causality-preserving quantum time of arrival theory
• Spacetime Quanta? : The Discrete Spectrum of a Quantum Spacetime Four-Volume Operator in Unimodular Loop Quantum Cosmology
• Canonical pairs in finite-dimensional Hilbert space