Wave equation - vector notation

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SUMMARY

The discussion focuses on the wave equation expressed in vector notation, particularly in relation to the Schrödinger Equation (SE). It emphasizes that the solution's form is contingent upon the boundary conditions applied. An example of a vector function with basic boundary conditions is requested, highlighting the importance of these conditions in determining the solution's characteristics.

PREREQUISITES
  • Understanding of the Schrödinger Equation (SE)
  • Familiarity with vector notation in physics
  • Knowledge of boundary conditions in differential equations
  • Basic concepts of wave mechanics
NEXT STEPS
  • Research specific boundary conditions for wave equations
  • Explore vector notation applications in quantum mechanics
  • Study examples of solutions to the Schrödinger Equation
  • Learn about wave functions and their properties in physics
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Students and professionals in physics, particularly those studying quantum mechanics and wave phenomena, as well as educators looking to enhance their understanding of vector notation in the context of the Schrödinger Equation.

lehel
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wave equation -- vector notation

what does the solution to the SE look like if expressed in vector notation? say if we just used phi as a function of x and t.
 
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lehel said:
what does the solution to the SE look like if expressed in vector notation? say if we just used phi as a function of x and t.
Depends on the boundary conditions.
 
can you give an example of a vector function with a basic boundary condition commonly used?
 

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