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Everything about Mehler kernel
Complex-valued function
The Mehler kernel is a complex-valued function found to be the propagator of the quantum harmonic oscillator. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Mehler kernelA 5-minute orientation
- Read the landmark paper: Topological Graph Polynomial and Quantum Field Theory Part II: Mehler Kernel TheoriesCited 18 times
- Go sideways: Secondary measureA closely related topic
- Go sideways: List of common coordinate transformationsA closely related topic
📖 Definitions
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🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Topological Graph Polynomial and Quantum Field Theory Part II: Mehler Kernel Theories
Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulas
Mehler Kernel Approach to Tempered Distributions
Heat Kernel in the Framework of Zero Order Mehler–Fock Transform
Mehler kernel approach to Fourier ultra-hyperfunctions
Uniqueness Result in the Cauchy Dirichlet Problem via Mehler Kernel
Laplace asymptotic expansions of conditional Wiener integrals and generalised Mehler kernel formulae for Hamiltonians on L2(Rn)
📚 Books worth reading
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