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- Naila Amir, Shahid Iqbal
- 2016

Using ladder operators for the non-linear oscillator with position-dependent effective mass, realization of the dynamic group SU(1,1) is presented. Keeping in view the algebraic structure of the… (More)

- Naila Amir, Shahid Iqbal
- 2014

A one-dimensional harmonic oscillator with position-dependent effective mass is studied. We quantize the oscillator to obtain a quantum Hamiltonian, which is manifestly Hermitian in configuration… (More)

- Naila Amir, Shahid Iqbal
- 2015

An algebraic treatment of shape-invariant quantum-mechanical position-dependent effective mass systems is discussed. Using shape invariance, a general recipe for construction of ladder operators and… (More)

- Naila Amir, Shahid Iqbal
- 2016

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… (More)

- Naila Amir, Shahid Iqbal
- 2016

Keeping 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 for obtaining algebraic… (More)

A general theory for finding the invariants of an arbitrary tensor is described. Group theoretic methods produce formulas which precisely determine the number of invariants for a Cartesian tensor of… (More)

- Naila Amir, Shahid Iqbal
- 2015

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 eigenstates for the… (More)

- Naila Amir, Shahid Iqbal
- 2018

- Naila Amir
- 2015

Position-dependent e?ective mass systems are of great signi?cance due to the fact that these models have numerous applications in various areas of physics. The qualitative understanding of a… (More)