Measurements, errors, and negative kinetic energy

Abstract

An analysis of errors in measurement yields new insight into the penetration of quantum particles into classically forbidden regions. In addition to ``physical" values, realistic measurements yield ``unphysical" values which, we show, can form a consistent pattern. An experiment to isolate a particle in a classically forbidden region obtains negative values for its kinetic energy. These values realize the concept of a {\it weak value}, discussed in previous works.

22 pp, TAUP 1850-90

Cited by in corpus (54)

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• Quantum Averages of Weak Values
• Broadening the scope of weak quantum measurements II: Past and future measurement effects within a double Mach-Zehnder-interferometer setting
• Broadening the scope of weak quantum measurements I: A single particle accurately measured yet left superposed
• Weak Values with Decoherence
• Nonclassicality in Weak Measurements
• Nonclassical Properties of Coherent States
• Cherenkov radiation and superluminal particles
• What is the value of an observable between pre- and postselection?
• Protective Measurements
• Experimental demonstration of separating the waveparticle duality of a single photon with the quantum Cheshire cat
• Quantum Back Reaction on a Classical Field
• Quantum kinetic energy densities: An operational approach
• Reconstructing weak values without weak measurements
• Modified 2D Proca Theory: Revisited Under BRST and (Anti-)Chiral Superfield Formalisms
• Linear optics implementation of weak values in Hardy's paradox
• Test of weak measurement on a two- or three-qubit computer
• Possible Emission of Cosmic $X$-- and $\gamma$--rays by Unstable Particles at Late Times
• Weak Measurement of the Arrival Times of Single Photons and Pairs of Entangled Photons
• Novel symmetries in the modified version of two dimensional Proca theory
• Disturbance in weak measurements and the difference between quantum and classical weak values
• Realization of quantum mechanical weak values of observables using entangled photons
• The Salecker-Wigner-Peres clock, Feynman paths, and a tunnelling time that should not exist
• New results by low momentum approximation from relativistic quantum mechanics equations and suggestion of experiments
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• Augmented Superfield Approach to Nilpotent Symmetries in the Modified Version of 2D Proca Theory
• Negative Kinetic Energy Between Past and Future State Vectors
• Defending Time-Symmetrized Quantum Theory
• Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers
• Massive 4D Abelian 2-Form Theory: Nilpotent Symmetries from the (Anti-)Chiral Superfield Approach
• Modified Proca Theory in Arbitrary and Two Dimensions
• The negative probabilities and information gain in weak measurements
• A 3D Field-Theoretic Example for Hodge Theory
• Speakable and unspeakable in quantum measurements
• Particle motion associated with wave function density gradients
• Weak cloning of an unknown quantum state
• Energy densities in quantum mechanics
• Constraints, Conserved Charges and Extended BRST Algebra for a 3D Field-Theoretic Example for Hodge Theory
• Modified St$\ddot{u}$ckelberg Formalism: Free Massive Abelian 2-Form Theory in 4D
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• A $3D$ Field-Theoretic Model: Discrete Duality Symmetry
• Continuous and Discrete Symmetries in a 4D Field-Theoretic Model: Symmetry Operators and Their Algebraic Structures
• Modified 3D Massive Abelian 2-From Theory with a Single Pseudo-Scalar Field as a Phantom Field: BRST Approach
• Emergence of Weak Values
• A Unique Bosonic Symmetry in a 4D Field-Theoretic System
• St$\ddot{u}$ckelberg-Modified Massive Abelian 3-Form Theory: Constraint Analysis, Conserved Charges and BRST Algebra
• Constraints and Conserved Charges for Modified Massive and Massless Abelian 1-Form and 2-Form Theories: A Brief Review
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