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Understanding the implications of omitting the zero-point energy term in the Bath Hamiltonian

The author is seeking to understand the implications of omitting the zero-point energy term in the Bath Hamiltonian, specifically in the context of open quantum systems. They note that this term is important for Casimir effects and are looking for an explanation of the approximation being made. The author is unclear about the quantum consequences of this omission.

Science, Physics, Quantum Mechanics