In an effort to describe quantum and classical mechanics with the same language, a wave equation for a continuous transition from quantum to classical mechanics has been proposed. Furthermore, the equivalence of this nonlinear equation with a linear one, known as the scaled equation, which is just the Schrodinger equation with the scaled Planck constant instead of the usual one, has been proved. Using this equation, we'll study three interesting phenomena; these include tunneling through a rectangular barrier, total reflection from a hard wall, and the gravitational weak equivalence principle in quantum, transition and classical regions. Time-independent scaled equation for the stationary states is derived and solved for a flux of particles incident on the barrier. The relations show that tunneling probability is exactly zero in the classical regime. For the other problems, we use a Gaussian wavepacket to calculate the expectation value of the position operator in reflection from the hard wall and to estimate the detection probability and arrival time in the problem of the gravitational weak equivalence.
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Mousavi,S. V. (2020). Tunneling, reflection and gravitational weak equivalence principle in the continuous transition from quantum to classical mechanics. Iranian Journal of Physics Research, 20(1), 73-82. doi: 10.47176/ijpr.20.1.21501
MLA
Mousavi,S. V. . "Tunneling, reflection and gravitational weak equivalence principle in the continuous transition from quantum to classical mechanics", Iranian Journal of Physics Research, 20, 1, 2020, 73-82. doi: 10.47176/ijpr.20.1.21501
HARVARD
Mousavi S. V. (2020). 'Tunneling, reflection and gravitational weak equivalence principle in the continuous transition from quantum to classical mechanics', Iranian Journal of Physics Research, 20(1), pp. 73-82. doi: 10.47176/ijpr.20.1.21501
CHICAGO
S. V. Mousavi, "Tunneling, reflection and gravitational weak equivalence principle in the continuous transition from quantum to classical mechanics," Iranian Journal of Physics Research, 20 1 (2020): 73-82, doi: 10.47176/ijpr.20.1.21501
VANCOUVER
Mousavi S. V. Tunneling, reflection and gravitational weak equivalence principle in the continuous transition from quantum to classical mechanics. Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2020; 20(1): 73-82. doi: 10.47176/ijpr.20.1.21501
