Majorant Recursions to Determine Eigenstate Bounds of a Symmetric Exponential Quantum Anharmonic Oscillator

Ozdemir S. B., Demiralp M.

International Conference of Computational Methods in Sciences and Engineering (ICCMSE), Athens, Yunanistan, 20 - 23 Mart 2015, cilt.1702 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1702
  • Doi Numarası: 10.1063/1.4938945
  • Basıldığı Şehir: Athens
  • Basıldığı Ülke: Yunanistan
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

The determination of the energy states is highly studied issue in the quantum mechanics. Based on expectation values dynamics, energy states can be observed. But conditions and calculations vary depending on the created system. In this work, a symmetric exponential anharmonic oscillator is considered and development of a recursive approximation method is studied to find its ground energy state. The use of majorant values facilitates the approximate calculation of expectation values.