A Nonrelativistic Quantum Field Theory with Point Interactions in Three Dimensions

Behrndt, J., Micheler, T.: Elliptic differential operators on Lipschitz domains and abstract boundary value problems. J. Funct. Anal. 267(10), 3657–3709 (2014)

Correggi, M., Dell’Antonio, G., Finco, D., Michelangeli, A., Teta, A.: Stability for a system of N fermions plus a different particle with zero-range interactions. Rev. Math. Phys. 24(07), 1250017 (2012)

Correggi, M., Dell’Antonio, G., Finco, D., Michelangeli, A., Teta, A.: A class of Hamiltonians for a three-particle fermionic system at unitarity. Math. Phys. Anal. Geom. 18(1), 32 (2015)

Dell’Antonio, G., Figari, R., Teta, A.: Hamiltonians for systems of N particles interacting through point interactions. Ann. Inst. H. Poincaré Phys. Théor. 60(3), 253–290 (1994)

Eckmann, J.-P.: A model with persistent vacuum. Commun. Math. Phys. 18(3), 247–264 (1970)

Grusdt, F., Demler, E.: New theoretical approaches to Bose polarons. In: Stringari, S., Roati, R., Inguscio, M., Ketterle, W. (eds.) Quantum Matter at Ultralow Temperatures. IOS Press, Amsterdam (2016)

Grusdt, F., Shchadilova, Y.E., Rubtsov, A.N., Demler, E.: Renormalization group approach to the Fröhlich polaron model: application to impurity-BEC problem. Sci. Rep. 5, 12124 (2015)

Griesemer, M., Wünsch, A.: On the domain of the Nelson Hamiltonian. J. Math. Phys. 59(4), 042111 (2018)

Lévy-Leblond, J.-M.: Galilean quantum field theories and a ghostless Lee model. Commun. Math. Phys. 4(3), 157–176 (1967)

Lampart, J.: The Renormalised Bogoliubov–Fröhlich Hamiltonian. arXiv preprint arXiv:1909.02430 (2019)

Lampart, J., Schmidt, J.: On Nelson-type Hamiltonians and abstract boundary conditions. Commun. Math. Phys. 367(2), 629–663 (2019)

Lampart, J., Schmidt, J., Teufel, S., Tumulka, R.: Particle creation at a point source by means of interior-boundary conditions. Math. Phys. Anal. Geom. 21(2), 12 (2018)

Moser, T., Seiringer, R.: Stability of a Fermionic N+1 particle system with point interactions. Commun. Math. Phys. 356(1), 329–355 (2017)

Moser, T., Seiringer, R.: Stability of the 2+ 2 fermionic system with point interactions. Math. Phys. Anal. Geom. 21(3), 19 (2018)

Moshinsky, M.: Boundary conditions for the description of nuclear reactions. Phys. Rev. 81, 347–352 (1951)

Moshinsky, M.: Boundary conditions and time-dependent states. Phys. Rev. 84, 525–532 (1951)

Moshinsky, M.: Quantum mechanics in Fock space. Phys. Rev. 84, 533 (1951)

Moshinsky, M., López Laurrabaquio, G.: Relativistic interactions by means of boundary conditions: the Breit–Wigner formula. J. Math. Phys. 32, 3519–3528 (1991)

Nelson, E.: Interaction of nonrelativistic particles with a quantized scalar field. J. Math. Phys. 5(9), 1190–1197 (1964)

Schrader, R.: On the existence of a local Hamiltonian in the Galilean invariant Lee model. Commun. Math. Phys. 10(2), 155–178 (1968)

Schmidt, J.: On a direct description of pseudorelativistic Nelson Hamiltonians. arXiv preprint arXiv:1810.03313 (2018)

Schmidt, J.: The massless Nelson Hamiltonian and its domain. arXiv preprint arXiv:1901.05751 (2019)

Teufel, S., Tumulka, R.: New type of Hamiltonians without ultraviolet divergence for quantum field theories. arXiv preprint arXiv:1505.04847 (2015)

Teufel, S., Tumulka, R.: Avoiding ultraviolet divergence by means of interior–boundary conditions. In: Finster, F., Kleiner, J., Röken, C., Tolksdorf, J. (eds.) Quantum Mathematical Physics, pp. 293–311. Birkhäuser, Basel (2016)

Thomas, L.E.: Multiparticle Schrödinger Hamiltonians with point interactions. Phys. Rev. D 30, 1233–1237 (1984)

Vlietinck, J., Casteels, W., Van Houcke, K., Tempere, J., Ryckebusch, J., Devreese, J.T.: Diagrammatic Monte Carlo study of the acoustic and the Bose–Einstein condensate polaron. New J. Phys. 17(3), 033023 (2015)

Wünsch, A.: Self-adjointness and domain of a class of generalized Nelson models. Ph.D. thesis, Universität Stuttgart, (March 2017)

Yafaev, D.R.: On a zero-range interaction of a quantum particle with the vacuum. J. Phys. A: Math. Gen. 25(4), 963 (1992)