Schrodinger Equation a constant?

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SUMMARY

The discussion centers on the time-dependent Schrödinger equation (SE) in quantum mechanics. It establishes that to utilize the SE, one must understand the attributes of a particle, specifically within the framework of non-relativistic quantum mechanics. The wave function, denoted as ψ, is not a constant but rather a function that represents a state in a complex separable Hilbert space. Any particle can be analyzed using the SE as long as it adheres to the principles of non-relativistic mechanics.

PREREQUISITES
  • Understanding of quantum mechanics fundamentals
  • Familiarity with the time-dependent Schrödinger equation
  • Knowledge of complex separable Hilbert spaces
  • Concepts of non-relativistic quantum mechanics
NEXT STEPS
  • Study the properties of wave functions in quantum mechanics
  • Explore the implications of non-relativistic quantum mechanics
  • Learn about the mathematical framework of Hilbert spaces
  • Investigate the applications of the Schrödinger equation in various physical systems
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Students and enthusiasts of quantum mechanics, physicists focusing on non-relativistic systems, and anyone seeking to deepen their understanding of the Schrödinger equation and wave functions.

Miquelyn10
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Im new to all of this a just started studying quantum mechanics and the time-dependent Schrödinger equation. What attributes must be known of a particle to use the Schrödinger equation? Also is the wave function considered a constant?
 
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if you are using constant in the normal way, no. The wave function is a function, which I suppose encompasses constants also. [tex]\psi[/tex], a state, is a vector on a complex separable Hilbert space.

As far was what particles can be used with the SE, non-relativistic QM is the standard model of mechanics for non-relativistic, low-energy limit systems and has been worked out substantially. So, any particle, or body period, so long as you stay in the realm of non-relativistic mechanics can be "input" into the SE...
 

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