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.

scholarly journals The Relationship Enfolded in Bohr’s Quantum Condition and a Previously Unknown Formula for Kinetic Energy

2019 ◽  
Vol 11 (1) ◽  
pp. 19
Author(s):  
Koshun Suto
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Hydrogen Atom ◽  
Kinetic Energy ◽  
Theory Of Relativity ◽  
Energy Formula ◽  
Classical Quantum ◽  
The Relationship ◽  
Quantum Condition

Bohr’s quantum condition is an indispensable assumption for classical quantum theory. However, strictly speaking, Bohr's quantum condition does not hold when deriving the energy of an electron forming a hydrogen atom from the perspective of the theory of relativity. In this paper, it is thought that the relationship enfolded in Bohr's quantum condition, i.e.,  is suitable as a new quantum condition to replace Bohr’s quantum condition. Also, in quantum mechanics, the energy of an electron is derived based on the theory of relativity, as exemplified in the theory of Sommerfeld. However, this paper points out that the previous energy formula based on the theory of relativity is mistaken. It also proposes a previously unknown formula for the kinetic energy of an electron.

scholarly journals CLASSICAL, QUANTUM AND SUPERQUANTUM CORRELATIONS

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345011
Author(s):  
GIANCARLO GHIRARDI ◽  
RAFFAELE ROMANO
Keyword(s):  
Quantum Mechanics ◽  
Quantum Correlations ◽  
Quantum Limit ◽  
Nonlocal Correlations ◽  
Classical Quantum ◽  
Physical Principles

A deeper understanding of the origin of quantum correlations is expected to allow a better comprehension of the physical principles underlying quantum mechanics. In this work, we reconsider the possibility of devising "crypto-nonlocal theories", using a terminology firstly introduced by Leggett. We generalize and simplify the investigations on this subject which can be found in the literature. At their deeper level, such theories allow nonlocal correlations which can overcome the quantum limit.

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