The potential model, which considers one or more interaction terms for a physical system, is used in various frameworks to investigate particle and high energy systems. This includes the application in ordinary wave equations of quantum mechanics to their different generalizations. The approach has provided us with a reliable basis since its early days despite its limitations. In some cases, we know that toy model interactions such as Coulomb or Yukawa have to be modified to account for the observed experimental data. The subject is also closely related to interface of quantum mechanics with theories which originate from high energy physics and has been used to study many challenging topics which go beyond our present experimental ability.

This special issue is intended to consider various experimental and theoretical aspects of the potential model, alternatively say wave equation approach, as related to particle and high energy physics.

I wish to dedicate my contribution to this special issue to my professor Dr Masoud Vahabi-Moghadam for his 67th birthday.

Potential topics include but are not limited to the following:

• Linear wave equations including Dirac, Klein-Gordon, Duffin-Kemmer-Petiau, Proca, and Rita-Schwinger
• Wave equations and particle spectroscopy
• Wave equations, decay modes, and scattering states
• Time-dependents Hamiltonians in quark-gluon plasma and other related fields
• Wave equations in cosmic-string space-time and related aspects including light cone fluctuations
• Wave equations in noncommutative space and phase-space
• Dirac equation and dark matter
• Dirac equation and neutrino physics
• Monopoles
• Neutrino-assisted transitions in DKP framework
• Wave equations in curved space-time
• Modified wave equations due to generalized uncertainty principle
• Nonlinear wave equations and solitons
• Functional Schrödinger equation
• Sine-Gordon model
• Related aspects of mathematical physics including Lie algebras
• Integrable and superintegrable systems in high energy physics