A system of three identical particles in a homogeneous magnetic field is studied. It is shown that the Hamiltonian of this system with short-range potentials after the separation of the center of mass motion has a finite discrete spectrum for each fixed type m of the rotational (SO(2)) symmetry.
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Efimov, V.: Yadernaya Fiz. 12 (1970), 1080–1091.
Yafaev, D.: Mat. Sb. 94 (1974), 567–593.
Ovchinnikov, Y. N. and Sigal, I. M., Ann. Phys. 123 (1979), 274–295.
Tamura, H.: J. Funct. Anal. 95 (1991), 433–459.
Vugalter, S. and Zhislin, G.: Comm. Math. Phys. 87 (1982), 89–103.
Vugalter, S. and Zhislin, G.: Lett. Math. Phys. 25 (1992), 299–306.
Zhislin, G.: Teor. i Mat. Fiz. 21 (1974), 60–73.
Vugalter, S. and Zhislin, G.: Funk. Analiz i Prilozh. 25 (1991), 83–86.
Vugalter, S. and Zhislin, G.: Algebra i Analiz 5(2) (1993), 108–125.
Birman, M. Sh.: Mat. Sbornik 55 (1961), 125–173.
Supported by the Erwin Schrödinger Institute, Austria, International Science Foundation Grant No. 9400 and Russian Grant of the State Committee for High Education RF-94-27-1022.
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Vugalter, S. Absence of the efimov effect in a homogeneous magnetic field. Lett Math Phys 37, 79–94 (1996). https://doi.org/10.1007/BF00400141
Mathematics Subject Classification (1991)
- Efimov effect
- homogeneous magnetic field
- decomposition of configuration space