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 …
A position-dependent mass harmonic oscillator and deformed space
We consider canonically conjugated generalized space and linear momentum operators x^
q and p^ q in quantum mechanics, associated with a generalized translation operator which …
q and p^ q in quantum mechanics, associated with a generalized translation operator which …
κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass
We present the quantum and classical mechanics formalisms for a particle with a position-
dependent mass in the context of a deformed algebraic structure (named κ-algebra) …
dependent mass in the context of a deformed algebraic structure (named κ-algebra) …
Exact solution and coherent states of an asymmetric oscillator with position-dependent mass
We revisit the problem of the deformed oscillator with position-dependent mass [da Costa et
al., J. Math. Phys. 62, 092101 (2021)] in the classical and quantum formalisms by …
al., J. Math. Phys. 62, 092101 (2021)] in the classical and quantum formalisms by …
Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass
We study the classical and quantum oscillator in the context of a non-additive (deformed)
displacement operator associated with a position-dependent effective mass by means of the …
displacement operator associated with a position-dependent effective mass by means of the …
Exactly solvable model of the linear harmonic oscillator with a position-dependent mass under external homogeneous gravitational field
We extended exactly solvable model of a nonrelativistic quantum linear harmonic oscillator
with a position-dependent mass\(M\left (x\right)=\frac {{a}^{2}{m} _ {0}}{{a}^{2}+{x}^{2}}\) to …
with a position-dependent mass\(M\left (x\right)=\frac {{a}^{2}{m} _ {0}}{{a}^{2}+{x}^{2}}\) to …
Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach
The quantization of systems with a position dependent mass (PDM) is studied. We present a
method that starts with the study of the existence of Killing vector fields for the PDM geodesic …
method that starts with the study of the existence of Killing vector fields for the PDM geodesic …
Properties of Quasi‐Oscillator in Position‐Dependent Mass Formalism
Schrödinger equation is considered within position‐dependent mass formalism with a quasi‐
oscillator interaction term. Wave functions and energy spectra have been obtained …
oscillator interaction term. Wave functions and energy spectra have been obtained …
Position-dependent mass systems: Classical and quantum pictures
O Rosas-Ortiz - Geometric Methods in Physics XXXVIII: Workshop …, 2020 - Springer
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Coherent states of position-dependent mass trapped in an infinite square well
We develop generalized coherent states based on the Gazeau–Klauder formalism for a
particle with position-dependent mass trapped in an infinite square well. We study the …
particle with position-dependent mass trapped in an infinite square well. We study the …