False

The Schrödinger Wave Equation cannot be derived from the principles of quantum mechanics. The equation was actually formulated by Erwin Schrödinger in 1925, a few years after the development of the principles of quantum mechanics by pioneers such as Max Planck and Albert Einstein.

Principles of Quantum Mechanics
- Quantum mechanics is a branch of physics that describes the behavior of particles at the atomic and subatomic levels.
- It is based on several fundamental principles, including the wave-particle duality, the uncertainty principle, and the superposition principle.
- These principles were developed through experimental observations and theoretical calculations by various scientists.

Schrödinger Wave Equation
- The Schrödinger Wave Equation is a mathematical equation that describes the behavior of quantum-mechanical systems, such as electrons in atoms.
- It is a partial differential equation that relates the wave function of a system to its energy and potential energy.
- The wave function, represented by the Greek letter psi (ψ), describes the probability amplitude of finding a particle in a particular state.
- The equation is named after its creator, Erwin Schrödinger, who developed it as an alternative formulation of quantum mechanics.

Derivation of the Schrödinger Wave Equation
- The Schrödinger Wave Equation is derived through a mathematical process known as the variational principle.
- The variational principle involves minimizing the expectation value of the energy of a system with respect to its wave function.
- This leads to the derivation of the time-independent Schrödinger Wave Equation, which describes stationary states with definite energy values.
- The time-dependent Schrödinger Wave Equation, which describes the time evolution of quantum systems, can be derived from the time-independent equation.

Conclusion
In conclusion, the Schrödinger Wave Equation cannot be derived from the principles of quantum mechanics. It was developed as a mathematical formulation by Erwin Schrödinger to describe the behavior of quantum-mechanical systems. The equation is a fundamental tool in quantum mechanics and is used to calculate the wave function and energy of particles in various physical systems.