Alternative approach to time evolution of quantum systems


EROL M.

PHYSICS ESSAYS, cilt.33, sa.4, ss.358-366, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.4006/0836-1398-33.4.358
  • Dergi Adı: PHYSICS ESSAYS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Academic Search Premier
  • Sayfa Sayıları: ss.358-366
  • Anahtar Kelimeler: Schrodinger Equation, Wave Function, Quantum Philosophy, Temporal Probability, Quantum Dynamics, Time Evolution, DECOHERENCE, MECHANICS
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

This study focuses on the temporal evolution of quantum systems based on epistemological and ontological arguments and reconsiders some fundamental concepts of quantum theory. Initially, the time dependent Schrodinger wave equation (TDSWE) is criticized for the lack of a potential energy term and thereafter, a novel time dependent momentum operator is defined which eventually leads to an alternative TDSWE, including a potential energy term that remains in harmony with current theory. The wave nature is then generally examined by comparing time evolutions of classical and Schrodinger waves, dissimilarities then carefully inspected and ultimately a novel second order TDSWE is suggested. Finally, time evolution of the probability density is discussed in light of this new approach, and additionally some further insights and conclusions are briefly outlined that conform with the standard theory. (C) 2020 Physics Essays Publication.