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Utilizing the Classical Dynamics of a Ball on an Inclined Plane: An Explanation of Dirac Quantization

Ijaz Durrani

Jan 1, 20260 citations

The quantization of classical systems

P. B. Guest

Reports on Mathematical PhysicsSep 1, 19744 citations

Re-explanation of Weyl Quantization Scheme via Weyl Ordering Approach

Fan Hong‐Yi

We re-explain the Weyl quantization scheme by virtue of the technique of integration within Weyl ordered product of operators, i.e., the Weyl correspondence rule can be reconstructed by classical functions' Fourier transformation followed by an inverse Fourier transformation within Weyl ordering of operators. As an application of this reconstruction, we derive the quantum operator coresponding to the angular spectrum amplitude of a spherical wave.

Communications in Theoretical PhysicsNov 1, 20081 citation

On A Mathematical Theory of Quantization

Hiroyasu Koshimizu

대한전자공학회 워크샵Feb 1, 20030 citations

Classical Quantization: Two Possible Approaches

Otto E. Rössler

NATO ASI series. Series B : PhysicsJan 1, 19855 citations

The Physical Model of Schrodinger Electron. Schrodinger Convenient Way for Description of its Quantum Behaviour

Josiph Mladenov Rangelov

The physical model (PhsMdl) of a Schrodinger nonrelativistic quantized electron (ShEl) is built by means of a transition of the quadratic differential particle equation of Hamilton-Jacoby into the quadratic differential wave equation of Schrodinger in this work, which interprets the physical reason of its quantum (wave and stochastic) behaviour by explanation of the physical reason, which forces the classical Lorentz electron (LrEl) to participate in Furthian quantized stochastic oscillation motion, which turn it into quantum ShEl. It is performed that this transition is realized by my consideration the Bohm's quantum potential as a kinetic energy of the forced Furthian quantized stochastic oscillation motion of the ShEl's well spread elementary electric charge close to a smooth thin trajectory of a classical LrEl. There exist as an essential analogy between the Furthian quantum stochastic trembling oscillation motion and the Brownian classical stochastic trembling motion so and between the description of their behaviours.The physical model (PhsMdl) of a Schrodinger nonrelativistic quantized electron (ShEl) is built by means of a transition of the quadratic differential particle equation of Hamilton-Jacoby into the quadratic differential wave equation of Schrodinger in this work, which interprets the physical reason of its quantum (wave and stochastic) behaviour by explanation of the physical reason, which forces the classical Lorentz electron (LrEl) to participate in Furthian quantized stochastic oscillation motion, which turn it into quantum ShEl. It is performed that this transition is realized by my consideration the Bohm's quantum potential as a kinetic energy of the forced Furthian quantized stochastic oscillation motion of the ShEl's well spread elementary electric charge close to a smooth thin trajectory of a classical LrEl. There exist as an essential analogy between the Furthian quantum stochastic trembling oscillation motion and the Brownian classical stochastic trembling motion so and between the description of their behaviours.

arXiv:quant-ph/0001079Jan 21, 20000 citations

A Classical Explanation of Quantization

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