Conformal Einstein pp-wave spaces as quantum solutions

Authors

  • Mehdi Nadjafikhah ‎ Iran University of Science and Technology
  • Yadollah AryaNejad Payame Noor University
  • Nishteman Zandi Payame Noor University

Keywords:

Conformal Einstein equation‎, ‎Schr\"odinger equation‎, ‎Lorentzian two-symmetric space‎, ‎Quantum solutions

Abstract

‎We study conformal geometry on two essential classes of pp-wave spaces‎, ‎i‎.e., ‎Cahen-Wallach and two-symmetric spaces‎. ‎This study leads to‎ ‎the general description of conformally Einstein metrics on the spaces under consideration‎. ‎Having settled a model for the potential energy of the capacitor‎, ‎we prove that the‎ ‎multiplying functions of conformal Einstein pp-wave spaces are solutions to the Schrodinger equation‎.

Author Biography

Mehdi Nadjafikhah, ‎ Iran University of Science and Technology

School of Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, I.R of Iran.

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Published

2022-09-21

Issue

Vol. 16

Section

Vol. 16, No. 12, (2022)

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