A Wave-packet in configuration space

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The discussion centers on the relationship between classical motion in configuration space and wave packets as described in Wigner's book on quantum mechanics. It highlights that each arrangement of particles corresponds to a point in a multidimensional space, which traces a curve over time. The correspondence between classical motion and wave packets is established through a specific index of refraction formula. The index of refraction, given as √(2m(E-V))/E, raises questions about its physical interpretation and dimensions. Clarification is sought regarding the implications of this refractive index in the context of wave packets in configuration space.
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In the book "Group theory and it's Applications to the Quantum Mechanics of atomic spectra " by Eugene P. Wigner

in chapter 4 The elements of quantum mechanics it is written

Consider a many dimensional space with as many coordinates as the system considered as position coordinates. Every arrangement of the positions of the particles of the system corresponds to a point in this multidimensional configuration space. This point will move in the course of time tracing out a curve by which the motion of the system can be completely described classically. There exists a fundamental correspondence between the classical motion of this point, the system point in configuration space, and the motion of a wave packet also considered in configuration space, if only we assume that the index of refraction for these waves is ##\sqrt{2m(E-V)}\over E##, where ##E## is the total energy of the system;##V## is the potential energy as a function in the configuration space.
What does the wave-packet and the refractive index implies here.How to interpret this?
 
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I do not know the index of refraction in this context. According to the formula you quote, it has physical dimension of ##L^{-1}T##, inverse of velocity, if he does not apply some convention of unit that you have not quoted there.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA

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