Algebraic solutions of shape-invariant position-dependent effective mass systems

N Amir, S Iqbal - Journal of Mathematical Physics, 2016 - pubs.aip.org
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 …

Coherent states for nonlinear harmonic oscillator and some of its properties

N Amir, S Iqbal - Journal of Mathematical Physics, 2015 - pubs.aip.org
A one-dimensional nonlinear harmonic oscillator is studied in the context of generalized
coherent states. We develop a perturbative framework to compute the eigenvalues and …

Coherent states of position-dependent mass trapped in an infinite square well

N Amir, S Iqbal - Journal of Mathematical Physics, 2020 - pubs.aip.org
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 …

Barut—girardello coherent states for nonlinear oscillator with position-dependent mass

N Amir, S Iqbal - Communications in Theoretical Physics, 2016 - iopscience.iop.org
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 …

Quantifying Nonclassicality of su(1, 1) Squeezed States by Quantum Fisher Information

S Javed, S Iqbal - Journal of Russian Laser Research, 2024 - Springer
Evaluating quantum Fisher information is an essential task in the parameter estimation and
quantum metrology. It quantifies the sensitivity of a quantum state to probe and capture …

Coherent states of nonlinear oscillators with position-dependent mass: temporal stability and fractional revivals

N Amir, S Iqbal - Communications in Theoretical Physics, 2017 - iopscience.iop.org
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 …

Photon-Added SU(1, 1) Coherent States and their Non-Classical Properties

HB Monir, N Amir, S Iqbal - International Journal of Theoretical Physics, 2019 - Springer
The photon-added coherent states of Barut-Girardello and Perelomov types are constructed
using Holstein-Primakoff realization of the su (1, 1) Lie algebra. Basic properties of the …

Generalized coherent states for position-dependent effective mass systems

N Amir, S Iqbal - Communications in Theoretical Physics, 2016 - iopscience.iop.org
A generalized scheme for the construction of coherent states in the context of position-
dependent effective mass systems has been presented. This formalism is based on the …

Ladder operators and associated algebra for position-dependent effective mass systems

N Amir, S Iqbal - Europhysics Letters, 2015 - iopscience.iop.org
An algebraic treatment of shape-invariant quantum-mechanical position-dependent effective
mass systems is discussed. Using shape invariance, a general recipe for construction of …

Quantum carpets: efficiently probing fractional revivals in position-dependent mass systems

T Bibi, S Javed, S Iqbal - Communications in Theoretical Physics, 2022 - iopscience.iop.org
Position-dependent-mass systems are of great importance in many physical situations, such
as the transport of charge carriers in semiconductors with non-uniform composition and in …