Application of the quantum mechanical hyperviral theorems to even-power series potentials

DOI10.1007/BF02435943zbMath0893.34079MaRDI QIDQ1380917

M. E. Grypeos, Th. E. Liolios

Publication date: 23 July 1998

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

radial Schrödinger equationestimation of energy eigenvaluesquantum-mechanical hypervirial theorem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (1)

Quantum information entropies for the \(\ell \)-state Pöschl-Teller-type potential

Cites Work

• Hypervirial theorems
• On the Schrodinger equation for the gaussian potential -A exp(-λr²)
• Propagation of Flames Supported by a Zeroeth-Order Chemical Reaction
• The energy levels of the Schrodinger equation for various types of potentials using a renormalized method
• The perturbed three-dimensional oscillator
• The eigenvalues of the Schrodinger equation for spherically symmetric states for various types of potentials in two, three and N dimensions, by using perturbative and non-perturbative methods
• Eigenenergies of the r²+ lambda r²/(1+gr²) and 1/2(r²)-or+gr⁴/(1+g alpha r²) potentials obtained by the hypervirial method
• Canonical perturbation expansions to large order from classical hypervirial and Hellmann–Feynman theorems
• A note on the Schrodinger equation for the potential A exp(-x²)-l(l+1)/x²
• Forces in Molecules
• On the Schrodinger equation for the interaction x²+λx²/(1+gx²)

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