One-Dimensional System: Boundary Condition Applicability

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SUMMARY

The discussion focuses on the applicability of the boundary condition that the derivative of the wave function Ψ(x) must be continuous at every point in one-dimensional systems. This condition holds true when the potential energy V(x) is finite throughout the domain. Notable counterexamples include the particle in a box scenario and the delta function potential, where this continuity condition does not apply.

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  • Concept of boundary conditions in differential equations
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  • Study the particle in a box model and its boundary conditions
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Students and professionals in physics, particularly those specializing in quantum mechanics, as well as researchers focusing on wave function behavior and boundary conditions in one-dimensional systems.

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In one dimensional system the boundary condition that the derivative of the wave function Ψ(x) should be continuous at every point is applicable whenever?
 
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GANTI_RAVITEJA said:
In one dimensional system the boundary condition that the derivative of the wave function Ψ(x) should be continuous at every point is applicable whenever?

It's applicable when the potential energy V(x) is finite everywhere. Counterexamples include the particle in a box and the delta function potential.
 
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