New derivation of the heisenberg kernel
Klinger Andrew
Abstract
Klinger Andrew
Abstract
The Heisenberg group gives rise to the simplest interesting example of a subellipticoperator. The hear kernel for this operator is known in terms of Fourier transforms. Here this hear kernel is derived in a simpleminded way from standard theroems in mathematical physics. A formula is given relating this kernel to the heat kernel of a magnetic field and ageneralization is given for similar geometries
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The Heisenberg group gives rise to the simplest interesting example of a subellipticoperator. The hear kernel for this operator is known in terms of Fourier transforms. Here this hear kernel is derived in a simpleminded way from standard theroems in mathematical physics. A formula is given relating this kernel to the heat kernel of a magnetic field and ageneralization is given for similar geometries
Key concepts: Kernel (algebra), Heat kernel, Mathematics, Heisenberg group, Operator (biology), Fourier transform, Mathematical analysis, Pure mathematics