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equation is a double differential relate to the energy of particle with wave function
Erwin Schrodinger, a German physicist,
The time dependent equation is more general. The time independent equation only applies to standing waves.
lagrangian equation of motion by de alembert principal
That's really too complicated for a short answer, of a few paragraphs, here. YouTube has some introductory videos about the topic, for example, from a "Dr PhysicsA"; a search on YouTube for "Dr Physics Schrödinger Wave Equation" will let you find them.
The time-independent Schr
This is the Schrodinger equation from 1925-1926.
The Schrodinger equation is from January 1926.
You need to clarify the question.
Erwin Schrodinger
Schrodinger is the author of the well known equation; this equation can describe an atom. That there was a great deal of uncertainty as to where things were and that waves were as important as particles.
Schrodinger wave equation
The current picture of the hydrogen atom is based on the atomic orbitals of wave mechanics which Erwin Schrodinger developed in 1926. This model is based on the Schrodinger Equation.
equation is a double differential relate to the energy of particle with wave function
The equation, as originally written by Erwin Schrodinger, does not use relativity. More complicated versions of his original equation, which do incorporate relativity, have been developed.For more information, please see the related link below.
The equation of uncertainty principle is ΔxΔp≥ℏ.
No, it is not solvable for any multi-electron system.