FTP, identify this fundamental equation of quantum mechanics named for the Austrian physicist who proposed it.
It utilizes the mass of a particle, Planck's constant, the total energy of the particle, and a linear relationship to the Laplacian of its representative variable.  It then describes, in the steady-state case, the variation of that variable throughout a field with potential energy V.  For a specified number of electrons and protons its solution will yield a set of corresponding eigenstates.  It is always time-dependent, can be used in one-dimensional and three-dimensional systems, and always works in terms of psi, or the wave function.  FTP, identify this fundamental equation of quantum mechanics named for the Austrian physicist who proposed it.
It utilizes the mass of a particle, Planck's constant, the total energy of the particle, and a linear relationship to the Laplacian of its representative variable.  
Schrodinger wave equation