Geodesic
Quantum Hamiltonian eigenstates for a free transverse field
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 26, Tome 487 (2019), pp. 78-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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We demonstrate that quantum Hamiltonian operator for a free transverse field within the framework of the second quantization reveals an alternative set of states satisfying the eigenstate functional equations. The construction is based upon extensions of the quadratic form of the transverse Laplace operator which are used as a source of spherical basis functions with singularity at the origin. This basis then naturally takes place of the one of plane or spherical waves in the process of Fourrier or spherical variable separation. 
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T. A. Bolokhov. Quantum Hamiltonian eigenstates for a free transverse field. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 26, Tome 487 (2019), pp. 78-99. http://geodesic.mathdoc.fr/item/ZNSL_2019_487_a5/

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