Quantum Cognition – Quantum Analogy

2021 ◽  
pp. 1-17
Author(s):  
Michael Fortescue
Keyword(s):  
Quantum Mechanics ◽  
Exact Nature ◽  
Quantum Cognition ◽  
Classical Quantum ◽  
Quantum Analogy

Attempts to apply the apparatus of quantum mechanics to cognition and language have met, understandably, with a degree of scepticism within the disciplines concerned, but they nevertheless have the potential for opening exciting new perspectives. In this article, I address the question as to what it is exactly about these attempts that has drawn such attention – both positive and negative – in recent years. I shall argue for distinguishing those aspects of quantum cognition that do warrant serious consideration by cognitive psychologists and linguists irrespective of the exact nature of its relationship to classical quantum mechanics. The key lies in the important role played by analogy in both disciplines.

scholarly journals Deformed classical-quantum mechanics transition

2020 ◽  
Vol 102 (3) ◽  
Author(s):  
J. L. Cortés ◽  
J. Gamboa
Keyword(s):  
Quantum Mechanics ◽  
Classical Quantum

scholarly journals Previously Unknown Physical Formulas which Hold in a Hydrogen Atom and are Derived without Using Quantum Mechanics

2017 ◽  
Vol 9 (4) ◽  
pp. 7
Author(s):  
Koshun Suto
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Hydrogen Atom ◽  
Physical Science ◽  
Classical Quantum ◽  
Physical Quantities

It is thought that quantum mechanics is the physical science describing the behavior of the electron in the micro world, e.g., inside a hydrogen atom. However, the author has previously derived the energy-momentum relationship which holds inside a hydrogen atom. This paper uses that relationship to investigate the relationships between physical quantities which hold in a hydrogen atom. In this paper, formulas are derived which hold in the micro world and make more accurate predictions than the classical quantum theory. This paper concludes that quantum mechanics is not the only theory enabling investigation of the micro world.

scholarly journals THE SL(2,R) WZWN STRING MODEL AS A DEFORMED OSCILLATOR AND ITS CLASSICAL-QUANTUM STRING REGIMES

2007 ◽  
Vol 22 (16) ◽  
pp. 1133-1142 ◽  
Author(s):  
M. RAMÓN MEDRANO ◽  
N. G. SÁNCHEZ
Keyword(s):  
Quantum Mechanics ◽  
Mass Spectrum ◽  
Uncertainty Relation ◽  
String Model ◽  
Quantum Uncertainty ◽  
Deformed Oscillator ◽  
Classical Quantum ◽  
Usual Quantum ◽  
Quantum Duality ◽  
Semiclassical Regime

We study the SL (2,R) WZWN string model describing bosonic string theory in AdS3 spacetime as a deformed oscillator together with its mass spectrum and the string modified SL (2,R) uncertainty relation. The SL (2,R) string oscillator is far more quantum (with higher quantum uncertainty) and more excited than the non-deformed one. This is accompassed by the highly excited string mass spectrum which is drastically changed with respect to the low excited one. The highly excited quantum string regime and the low excited semiclassical regime of the SL (2,R) string model are described and shown to be the quantum-classical dual of each other in the precise sense of the usual classical-quantum duality. This classical-quantum realization is not assumed nor conjectured. The quantum regime (high curvature) displays a modified Heisenberg's uncertainty relation, while the classical (low curvature) regime has the usual quantum mechanics uncertainty principle.

scholarly journals Classical quantum mechanics – particle is the pulse of matter waves

2020 ◽  
Vol 5 (4) ◽  
Author(s):  
Dimosthenis Michopoulos
Keyword(s):  
Quantum Mechanics ◽  
Experimental Verification ◽  
Experimental Results ◽  
Classical Physics ◽  
Matter Waves ◽  
Theoretical Predictions ◽  
Classical Quantum ◽  
New Interpretation

Since the very first development of Quantum Mechanics there are many scientists who, despite the fact that everything seems to work perfectly and the experimental results verify the theoretical predictions, do not understand what is really going on. That is why there are many different interpretations of this subject nowadays. This paper provides a new interpretation, aiming to illustrate the fact that Quantum Mechanics is actually an extension of Classical Physics, and in contrast to other interpretations we illustrate a possible experimental verification of theoretical wording.

scholarly journals Classical-quantum versus exact quantum results for a particle in a box

2012 ◽  
Vol 34 (2) ◽  
Author(s):  
Salvatore De Vincenzo
Keyword(s):  
Quantum Mechanics ◽  
Fourier Series ◽  
Classical Particle ◽  
Quantization Rule ◽  
One Dimensional ◽  
Exact Quantum ◽  
Classical Quantum

The problems of a free classical particle inside a one-dimensional box: (i) with impenetrable walls and (ii) with penetrable walls, were considered. For each problem, the classical amplitude and mechanical frequency of the T -th harmonic of the motion of the particle were identified from the Fourier series of the position function. After using the Bohr-Sommerfeld-Wilson quantization rule, the respective quantized amplitudes and frequencies (i.e., as a function of the quantum label n ) were obtained. Finally, the classical-quantum results were compared to those obtained from modern quantum mechanics, and a clear correspondence was observed in the limit of n » τ.

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