5 papers · 1 filter
Semiclassical effective description of a quantum particle on a sphere with non-central potential
Guillermo Chacon-Acosta, H. Hernandez-Hernandez, J. Ruvalcaba-Rascon
We develop a semiclassical framework for studying quantum particles constrained to curved surfaces using the momentous quantum mechanics formalism, which extends classical phase-sp…
Effective description of a quantum particle constrained to a catenoid
Guillermo Chacon Acosta, Hector Hernandez Hernandez, Jose Ruvalcaba Rascon
We describe a quantum particle constrained on a catenoid, employing an effective description of quantum mechanics based on expected values of observables and quantum dispersions. W…
Effective Description of the Quantum Damped Harmonic Oscillator: Revisiting the Bateman Dual System
Carlos Raul Javier Valdez, Hector Hugo Hernandez Hernandez, Guillermo Chacón Acosta
In this work, we present a quantization scheme for the damped harmonic oscillator (QDHO) using a framework known as momentous quantum mechanics. Our method relies on a semiclassica…
Effective quantum tunneling from semiclassical momentous approach
L. Aragon-Muñoz, G. Chacon-Acosta, H. Hernandez-Hernandez
We study the quantum tunnel effect through a potential barrier employing a semiclassical formulation of quantum mechanics based on expectation values of configuration variables and…
Effective Quantum Mechanics of a falling particle
Guillermo Chacon-Acosta, Hector Hernandez-Hernandez, Mercedes Velazquez
We analyze the problem of one dimensional quantum particle falling in a constant gravitational field, also known as the {\it bouncing ball}, employing a semiclassical approach know…