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Title of Journal: Int J Theor Phys

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Abbravation: International Journal of Theoretical Physics

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Springer US

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10.1002/mma.3061

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1572-9575

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Incompatibility of Standard Completeness and Quantum Mechanics

Authors: Carsten Held,

Publish Date: 2012/05/10
Volume: 51, Issue:9, Pages: 2974-2984
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Abstract

The completeness of quantum mechanics (QM) is generally interpreted to be or entail the following conditional statement (called standard completeness (SC)): If a QM system S is in a pure non-eigenstate of observable A, then S does not have value a k of A at t (where a k is any eigenvalue of A). QM itself can be assumed to contain two elements: (i) a formula generating probabilities; (ii) Hamiltonians that can be time-dependent due to a time-dependent external potential. It is shown that, given (i) and (ii), QM and SC are incompatible. Hence, SC is not the appropriate interpretation of the completeness of QM.


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Other Papers In This Journal:

  1. Incompatibility of Standard Completeness and Quantum Mechanics
  2. Entanglement Entropy in an Opened Antiferromagnetic Heisenberg Chain with Alternating Interaction
  3. Splitting an Arbitrary Two-Qubit State via a Genuine Six-Qubit Entangled State
  4. Quantum Tasks Using Symmetric Cluster States
  5. Quantum Tasks Using Symmetric Cluster States
  6. Precision Mass Sensing by Tunable Double Optomechanically Induced Transparency with Squeezed Field in a Coupled Optomechanical System
  7. The Effect of Impurities in a Three-Qubit Ising Spin Model
  8. Dyonic String-Like Solution in a Non-Abelian Gauge Theory with Two Potentials
  9. QCD Ghost Dark Energy in RS II Braneworld with Bulk-Brane Interaction
  10. Dynamics of Relativistic Solitons Due to Pseudo Sine-Gordon Equation
  11. The Lattice and Simplex Structure of States on Pseudo Effect Algebras
  12. Quantum Information in the Frame of Coherent States Representation
  13. Gravitational Aharonov-Bohm Effect
  14. Non-Classical Traveling Solutions in a Nonlinear Klein Gordon Model
  15. The Quantum and Klein-Gordon Oscillators in a Non-commutative Complex Space and the Thermodynamic Functions
  16. The Quantum and Klein-Gordon Oscillators in a Non-commutative Complex Space and the Thermodynamic Functions
  17. Absolute Continuity in Noncommutative Measure Theory
  18. The Observer Determination
  19. Late Time Acceleration in Scalar-Tensor Theory with GB Interaction
  20. Classification of Cosmic Scale Factor via Noether Gauge Symmetries
  21. Quantum Spin Hall Effect in a Triple-Well Quantum Dot System
  22. Minimal Length and the Quantum Bouncer: A Nonperturbative Study
  23. True Neutrality as a New Type of Flavour
  24. Classical Model of Confinement
  25. Applications of the Stroboscopic Tomography to Selected 2-Level Decoherence Models
  26. New Properties of the Wigner Function of the Tripartite Entangled State
  27. An Alternative Map from a 2 + 1 Dimensional Charged Dirac Oscillator in the Background of a Uniform Perpendicular Magnetic Field to a Quantum Optics Model

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