One-dimensional infinite square well problem via two parameter deformed algebra

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Cites Work

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On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
Some electronic properties of metals through \(q\)-deformed algebras
Possible generalization of Boltzmann-Gibbs statistics.
Self-localized solitons of a \(q\)-deformed quantum system
Constructing quantum logic gates using \(q\)-deformed harmonic oscillator algebras
Work and heat value of bound entanglement
Q-deformed three-level quantum logic
On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model
q-deformations of the O(3) symmetric spin-1 Heisenberg chain
The quantum group SU_q(2) and a q-analogue of the boson operators
A (p, q)-oscillator realization of two-parameter quantum algebras
On quantization of simple harmonic oscillators
The Jaynes-Cummings Model with a q Analogue of a Coherent State
Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model
DEFORMED GAS OF p, q-BOSONS: VIRIAL EXPANSION AND VIRIAL COEFFICIENTS
A TWO-PARAMETER DEFORMED SUSY ALGEBRA FOR SU_p/q(n)-COVARIANT (p,q)-DEFORMED FERMIONIC OSCILLATORS
P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups
THREE-PARAMETER (TWO-SIDED) DEFORMATION OF HEISENBERG ALGEBRA
Aq-deformed Schrödinger equation
Two-parameter deformed multimode oscillators andq-symmetric states
Hilbert spaces of analytic functions and generalized coherent states
Fermi energy in the q-deformed quantum mechanics
Bose–Einstein condensation in a gas of Fibonacci oscillators
Quantum calculus
q‐Deformed Quantum Mechanics Based on the q‐Addition
Transparency and Enhancement in Fast and Slow Light in q‐Deformed Optomechanical System
The two-parameter deformation of \(\mathrm{GL}(2)\), its differential calculus, and Lie algebra

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