Position-Dependent Mass Systems: Classical and Quantum Pictures (Q5152785)

scientific article; zbMATH DE number 7400866

Language	Label	Description	Also known as
English	Position-Dependent Mass Systems: Classical and Quantum Pictures	scientific article; zbMATH DE number 7400866

Statements

instance of

scholarly article

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title

Position-Dependent Mass Systems: Classical and Quantum Pictures (English)

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author

Oscar Rosas-Ortiz

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published in

Trends in Mathematics

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publication date

27 September 2021

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full work available at URL

https://arxiv.org/abs/2002.02297

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zbMATH Keywords

position dependent mass systems

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factorization method

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Lie algebras

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nonlinear differential equations of motion

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MaRDI profile type

MaRDI publication profile

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cites work

Quantization of the Liénard II equation and Jacobi’s last multiplier

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

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

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Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces

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COHERENT STATE OF THE EFFECTIVE MASS HARMONIC OSCILLATOR

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On quantized Liénard oscillator and momentum dependent mass

0 references

Reply to Comment on ‘Nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator’

0 references

Coherent States of Nonlinear Oscillators with Position-Dependent Mass: Temporal Stability and Fractional Revivals

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Barut—Girardello Coherent States for Nonlinear Oscillator with Position-Dependent Mass

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

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Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states

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New $\mathcal {SU}(1,1)$ position-dependent effective mass coherent states for a generalized shifted harmonic oscillator

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Pseudo-Hermitian coherent states under the generalized quantum condition with position-dependent mass

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Q4825140

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Q5833094

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A family of exactly solvable radial quantum systems on space of non-constant curvature with accidental degeneracy in the spectrum

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The Application of Lagrange Equations to Mechanical Systems With Mass Explicitly Dependent on Position

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Exact solvability of PDM systems with extended Lie symmetries

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Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses

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Ordering ambiguity revisited via position dependent mass pseudo-momentum operators

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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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Position-dependent mass Lagrangians: nonlocal transformations, Euler–Lagrange invariance and exact solvability

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Comment on ‘Nonlinear dynamics of a position-dependent mass-driven Duffing-type oscillator’

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Radial power-law position-dependent mass: cylindrical coordinates, separability and spectral signatures

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Position-dependent-mass: cylindrical coordinates, separability, exact solvability and \mathcal {PT} -symmetry

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Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients

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On a unique nonlinear oscillator

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Yet another position-dependent mass quantum model

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Factorizations of one-dimensional classical systems

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Kepler's problem in constant curvature spaces

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Generalized Harmonic Oscillator and the Schrödinger Equation with Position-Dependent Mass

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Nonlinear dynamics of classical counterpart of the generalized quantum nonlinear oscillator driven by position dependent mass

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A position-dependent mass harmonic oscillator and deformed space

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Generalized space and linear momentum operators in quantum mechanics

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Classical and quantum position-dependent mass harmonic oscillators

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Classical motion and coherent states for Pöschl-Teller potentials

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Position dependent mass Scarf Hamiltonians generated via the Riccati equation

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Dynamical equations, invariants and spectrum generating algebras of mechanical systems with position-dependent mass

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$SU(1,1)$ coherent states for position-dependent mass singular oscillators

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Position-dependent mass oscillators and coherent states

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Factorization Method and the Position-dependent Mass Problem

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Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations

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Identifiers

zbMATH Open document ID

1477.70035

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DOI

10.1007/978-3-030-53305-2_24

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5152785