Variational Method Applied to Schrödinger-Like Equation

Autor: Regina Maria Ricotta, N.F. Ribeiro, Elso Drigo Filho
Rok vydání: 2019
Předmět:
Zdroj: Integrability, Supersymmetry and Coherent States ISBN: 9783030200862
DOI: 10.1007/978-3-030-20087-9_12
Popis: In this work we propose to adapt the variational method to analyze a specific equation derived from a statistical model for the DNA molecule. The referred equation is a Schrodinger-like equation with an additional position-dependent function multiplying its second order derivative term. The use of the adapted variational approach is shown to be a suitable technique for the calculation of the ground state for two similar potential problems. In the first problem the additional function and the potential have an exponential position-dependence while for the second the additional function has a quadratic position-dependence and the potential has a quadratic and inverse quadratic position-dependence.
Databáze: OpenAIRE