139 citations · 181 across the 16 of their papers we have counts for
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Straightforward Derivation of the Schr{ö}dinger Equation from Classical Mechanics and the Planck Postulate
Alex Granik
According to the widely accepted notion, the Schr{ö}dinger equation (SE) is not derivable in principle. Contrary to this belief, we present here a straightforward derivation of SE.…
Schroedinger revisited:How the time-dependent wave equation follows from the Hamilton-Jacobi equation
A. Granik
It is shown how using the classical Hamilton-Jacobi equation one can arrive at the time-dependent wave equation. Although the former equation was originally used by E.Schroedinger…
On a loss of information in a transition from quantum to a quasi-classical regime
Alex Granik
By defining information entropy in terms of probabilities densities ( is a wave function in the coordinate representation) it is explicitly shown how a loss of quantum i…
Generalized (s-Parameterized) Weyl Transformation
Alex Granik
A general canonical transformation of mechanical operators of position and momentum is considered. It is shown that it automatically generates a parameter s which leads to a genera…
Time operator for the quantum harmonic oscillator: resolution of an apparent paradox
Alex Granik, H. Ralph Lewis
An apparent paradox is resolved that concerns the existence of time operators which have been derived for the quantum harmonic oscillator. There is an apparent paradox because, alt…