κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass (Q5140999)

scientific article; zbMATH DE number 7287197

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English	<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass	scientific article; zbMATH DE number 7287197

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scholarly article

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title

κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass (English)

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Journal of Mathematical Physics

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publication date

17 December 2020

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full work available at URL

https://arxiv.org/abs/2007.11184

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MaRDI profile type

MaRDI publication profile

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cites work

Minimal length scale scenarios for quantum gravity

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Uncertainty relation in quantum mechanics with quantum group symmetry

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Yet another position-dependent mass quantum model

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The extended Thomas–Fermi kinetic energy density functional with position-dependent effective mass in one dimension

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Energy eigenfunctions for position-dependent mass particles in a new class of molecular Hamiltonians

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Generalized Laguerre polynomials with position-dependent effective mass visualized via Wigner’s distribution functions

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Effective-mass Dirac equation for Woods-Saxon potential: Scattering, bound states, and resonances

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Superintegrable systems with a position dependent mass: Kepler-related and oscillator-related systems

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Mapping between charge-monopole and position-dependent mass systems

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Exact mapping between charge-monopole and position-dependent effective mass systems via Pauli equation

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On a unique nonlinear oscillator

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Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0

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On quantized Liénard oscillator and momentum dependent mass

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A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour

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Coherent states for nonlinear harmonic oscillator and some of its properties

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Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators

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Generalized quantum nonlinear oscillators: Exact solutions and rational extensions

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Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator

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Classical treatment of particle with position-dependent mass m(r) = 1/(1 + r4) in 1D and 2D subjected to harmonic potential

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PDM creation and annihilation operators of the harmonic oscillators and the emergence of an alternative PDM-Hamiltonian

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

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A generalized quantum nonlinear oscillator

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An inclusive SUSY approach to position dependent mass systems

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Generalized Coherent States for Position-Dependent Effective Mass Systems

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On the construction of coherent states of position dependent mass Schrödinger equation endowed with effective potential

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Ordering ambiguity revisited via position dependent mass pseudo-momentum operators

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Exact solvability of potentials with spatially dependent effective masses

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Generalized space and linear momentum operators in quantum mechanics

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A position-dependent mass harmonic oscillator and deformed space

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Information-theoretic measures for a position-dependent mass system in an infinite potential well

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Introduction to Nonextensive Statistical Mechanics

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Non-linear kinetics underlying generalized statistics

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Consistency of the structure of Legendre transform in thermodynamics with the Kolmogorov-Nagumo average

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Stabilities of generalized entropies

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On the $\kappa$-deformed cyclic functions and the generalized Fourier series in the framework of the $\kappa$-algebra

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Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions

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$\kappa$-deformed Fourier transform

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The $\kappa$-generalizations of Stirling approximation and multinominal coefficients

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Analysis of fractal groups of the type $d$-$(m,r)$-\textit{Cantor} within the framework of Kaniadakis statistics

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The Lambert-Kaniadakis $W_\kappa$ function

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A nonlinear drift which leads to $\kappa $-generalized distributions

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A $\kappa$-deformed model of growing complex networks with fitness

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Q4275389

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Identifiers

zbMATH Open document ID

1454.81059

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DOI

10.1063/5.0014553

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:5140999

<i>κ</i>-Deformed quantum and classical mechanics for a system with position-dependent effective mass (Q5140999)

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Mathematics(1 entry)