Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box

DOI10.1007/s10910-022-01350-xzbMath1496.81053OpenAlexW4224284222MaRDI QIDQ2141373

Debraj Nath, Ramon Carbó-Dorca

Publication date: 25 May 2022

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-022-01350-x

zbMATH Keywords

time dependent Schrödinger equationdisequilibriumaverage energytime-correlation functionaverage forcequantum similarity indextime dependent spherical box

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Spherical and hyperbolic convexity (52A55) Moving boundary problems for PDEs (35R37) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

Study of uncertainty, average energy, and thermodynamic quantities of the time dependent quantum system ⋮ Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well ⋮ Average energy and Shannon entropy of a confined harmonic oscillator in a time-dependent moving boundary ⋮ Quantum similarity index and Rényi complexity ratio of Kratzer type potential and compared with that of inverse square and Coulomb type potentials

Cites Work

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• A quantum similarity discussion about Einstein-Podolsky-Rosen (EPR) paradox in Gaussian enfolded spaces
• Quantum polyhedra, definitions, statistics and the construction of a collective quantum similarity index
• Spectral characteristics for a spherically confined −a/r+br²potential
• Quantum information measures of infinite spherical well

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