Calculate Eigen Function of 3D Potential Box w/ Doubled X Side

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    3d Box Potential
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SUMMARY

The discussion focuses on calculating the eigen function of a 3D potential box when the length of the X side is doubled. It confirms that the Time Independent Schrödinger Equation (TISE) remains applicable in this scenario. The problem is categorized as a standard quantum mechanics homework problem, indicating its foundational nature in quantum mechanics studies.

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  • Understanding of Quantum Mechanics principles
  • Familiarity with the Time Independent Schrödinger Equation
  • Knowledge of eigenfunctions and eigenvalues
  • Concept of potential boxes in quantum systems
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  • Study the derivation of eigenfunctions for 3D potential boxes
  • Explore the implications of changing boundary conditions in quantum mechanics
  • Learn about the mathematical techniques for solving the Time Independent Schrödinger Equation
  • Investigate standard quantum mechanics problems related to potential wells
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Students and educators in quantum mechanics, physicists working on potential problems, and anyone interested in the mathematical foundations of quantum systems.

SANKET HAQUE
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Suppose we have a 3D potential box having different length. Now suddenly we double the length of a particular side(Say along X direction) of the box. Can we calculate what will be the eigen function of the Hamiltonian. Is there Time Independent S.E. holds?
 
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Yes you can do that but this sounds an awful lot like extremely standard QM HW problems so is this meant to be such?
 

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