Are the electron charge and the Planck's constant really constant?

It is shown that relativistic formulas for time dilation and for dependence of the particles mass on the velocity of their movement, on the one hand, and the quantum-mechanical expression for the energy levels of the hydrogen atom, on the other hand, do not contradict each other only if the Planck constant ℏ is a function of velocity in the form ℏ' = ℏ/(1 ‒ β2), and charges of electron and proton depend on the velocity of their motion according to the law 𝑒' = 𝑒/(1 ‒ β2)1/2. It is noted that the last equality also follows from the well-known formula for electric potential of a point charge moving with a constant velocity. An expression is proposed for the Lagrange function of a charged particle in an electromagnetic field, taking into account the above dependencies.