  We propose six principles as the fundamental principles of quantum mechanics:
principle of space and time, Galilean principle of relativity, Hamilton's
principle, wave principle, probability principle, and principle of
indestructibility and increatiblity of particles. We deductively develop the
formalism of quantum mechanics on the basis of them: we determine the form of
the Lagrangian that satisfies requirements of these principles, and obtain the
Schroedinger equation from the Lagrangian. We also derive the canonical
commutation relations. Then we adopt the following four guide lines. First, we
do not premise the relations between dynamical variables in classical
mechanics. Second, we define energy, momentum, and angular momentum as the
constants of motion that are derived from homogeneity and isotropy in space and
time on the basis of principle of space and time. Since energy and momentum are
quantitatively defined in classical mechanics, we define them in quantum
mechanics so that the corresponding conservation laws are satisfied in a
coupling system of a quantum particle and a classical particle. Third, we
define Planck's constant and the mass of a particle as proportionality
constants between energy and frequency due to one of Einstein-de Broglie
formulas and between momentum and velocity, respectively. We shall obtain the
canonical commutation relations and the Schroedinger equation for a particle in
an external field in the definitive form. We shall also prove that relations
between dynamical variables in quantum mechanics have the same forms for those
in classical mechanics.
