Another question on Schrodinger Equation

[Rade]

I have read the following claim (where is not important):

...the Schrodinger equation provides no rational basis for the phenomenon of spin, the Pauli Exclusion Principle, or Hund's Rule...

Is such a claim true ? If so, what does it matter ?

 

[dextercioby]

The symmetrization postulate is a postulate just like the SE (when the axioms are presented in the Schrödinger picture),
so no interference, they are completely independent. The spin comes from the Galilei group;
well, from the Galilei group one can derive the SE using the
theorem of Wigner and Bargmann. The Hund's rules can be derived if one was able to fully solve the SE for an arbitrary
atom, hence for all atoms of the elements in the PT.

Oh, and it's Schrödinger or Schroedinger (in the unfortunate case you can't put the Umlaut), not Schrodinger.

So that claim is wrong.

 

[denian]

I would say that the claim is not entirely true. The Schrodinger equation is a fundamental equation in quantum mechanics that describes the behavior of particles at the atomic and subatomic level. It provides a mathematical framework for understanding the behavior of particles, including their spin.

While it is true that the Schrodinger equation itself does not explicitly mention spin, the concept of spin is incorporated into the equation through the use of spin operators. These operators allow for the prediction of spin states and the calculation of spin-related properties.

Furthermore, the Schrodinger equation is the foundation for the development of other important principles in quantum mechanics, such as the Pauli Exclusion Principle and Hund's Rule. These principles are derived from the Schrodinger equation and provide a rational basis for understanding the behavior of particles with spin.

In summary, while the Schrodinger equation may not explicitly mention spin, it is still a crucial tool in understanding the phenomenon of spin and its related principles. So, it does matter as it provides a fundamental framework for understanding the behavior of particles at the quantum level.