The Wavefunctions and Energy Eigenvalues of the Schrodinger Equation for Different Potentials Due to the Virial Theorem

• Authors: H. Arslan , N. Hulaguhanoglu
• Languages of publication: EN

Abstracts

EN

The derivation of the virial theorem is presented both in classical and quantum mechanical approach. The kinetic energy and potential energy of the mechanical energy is converted to each other due to the virial theorem. Some of the different potentials are considered. For some of these potentials, the wavefunctions and energy eigenvalues of the Schrödinger Equation are derived.

Keywords

EN

03.65.Nk; 03.65.Sq; 03.65.-w; 83.10.Ff

Discipline

• 83.10.Ff: Continuum mechanics(see also section 46 Continuum mechanics of solids)
• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 03.65.Nk: Scattering theory
• 03.65.Sq: Semiclassical theories and applications

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 127
• Issue: 4
• Pages: 914-916

Dates

published

2015-04

Contributors

author

H. Arslan

• Department of Physics, Bingol University, Bingol, Turkey

author

N. Hulaguhanoglu

• Department of Physics, Bingol University, Bingol, Turkey

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Identifiers

DOI

10.12693/APhysPolA.127.914