Coherent and squeezed states: Introductory review of basic notions, properties, and generalizations
O Rosas-Ortiz - Integrability, Supersymmetry and Coherent States: A …, 2019 - Springer
A short review of the main properties of coherent and squeezed states is given in the
introductory form. The efforts are addressed to clarify concepts and notions, including some …
introductory form. The efforts are addressed to clarify concepts and notions, including some …
Position-dependent mass, finite-gap systems, and supersymmetry
The ordering problem in quantum systems with position-dependent mass (PDM) is treated
by inclusion of the classically fictitious similarity transformation into the kinetic term. This …
by inclusion of the classically fictitious similarity transformation into the kinetic term. This …
Nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator
We examine some nontrivial consequences that emerge from interpreting a position-
dependent mass (PDM)-driven Duffing oscillator in the presence of a quartic potential. The …
dependent mass (PDM)-driven Duffing oscillator in the presence of a quartic potential. The …
Stability of a Duffing oscillator with a position-dependent mass
LF Ziebell, JAC Gallas - The European Physical Journal Plus, 2023 - epjplus.epj.org
This paper reports high-resolution stability diagrams classifying the different solutions of a
driven Duffing oscillator with a position-dependent mass. The Duffing oscillator is a …
driven Duffing oscillator with a position-dependent mass. The Duffing oscillator is a …
Algebraic solutions of shape-invariant position-dependent effective mass systems
Kee** in view the ordering ambiguity that arises due to the presence of position-
dependent effective mass in the kinetic energy term of the Hamiltonian, a general scheme …
dependent effective mass in the kinetic energy term of the Hamiltonian, a general scheme …
Generalized Schrödinger equations with energy-dependent potentials: Formalism and applications
A Schulze-Halberg, Ö Yeşiltaş - Journal of Mathematical Physics, 2018 - pubs.aip.org
The quantum mechanical formalism for systems featuring energy-dependent potentials is
extended to systems governed by generalized Schrödinger equations that include the …
extended to systems governed by generalized Schrödinger equations that include the …
Position-dependent mass systems: Classical and quantum pictures
O Rosas-Ortiz - Geometric Methods in Physics XXXVIII: Workshop …, 2020 - Springer
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Barut—girardello coherent states for nonlinear oscillator with position-dependent mass
Using ladder operators for the non-linear oscillator with position-dependent effective mass,
realization of the dynamic group SU (1, 1) is presented. Kee** in view the algebraic …
realization of the dynamic group SU (1, 1) is presented. Kee** in view the algebraic …
Coherent states of nonlinear oscillators with position-dependent mass: temporal stability and fractional revivals
We develop generalized coherent states for a class of nonlinear oscillators with position-
dependent effective mass in the context of the Gazeau–Klauder formalism and discuss some …
dependent effective mass in the context of the Gazeau–Klauder formalism and discuss some …
New physics in Landau levels
The most general displaced number'coherent'states, based on the Heisenberg, su (2) and
su (1, 1) Lie algebras symmetries, are constructed. They depend on two parameters, and …
su (1, 1) Lie algebras symmetries, are constructed. They depend on two parameters, and …