  A procedure allowing to construct rigorously discrete as well as continuum
deterministic evolution equations from stochastic evolution equations is
developed using a Dirac's bra and ket notation. This procedure is an extension
of an approach previously used by the authors coined Discrete Stochastic
Evolution Equations. Definitions and examples of discretes as well as continuum
one-dimensional lattices are developed in detail in order to show the basic
tools that allows to construct Schr\"odinger-like equations. Extension to
d-dimensional lattices are studied in order to provide a wider exposition and
the one-dimensional cases are derived as special cases, as expected. Some
variants of the procedure allows to construct other evolution equations. Also,
using a limiting procedure, it is possible to derive the Schr\"odinger
equations from the Schr\"odinger like equations.
