Exact solutions to nonlinear symmetron theory: One- and two-mirror systems
We derive the exact analytical solutions to the symmetron field theory equations in the presence of a one- or two-mirror system. The one-dimensional equations of motion are integrated exactly for both systems and their solutions can be expressed in terms of Jacobi elliptic functions. Surprisingly, i...
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| Veröffentlicht in: | Physical review. D 2018-03, Vol.97 (6), Article 064015 |
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| container_title | Physical review. D |
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| creator | Brax, Philippe Pitschmann, Mario |
| description | We derive the exact analytical solutions to the symmetron field theory equations in the presence of a one- or two-mirror system. The one-dimensional equations of motion are integrated exactly for both systems and their solutions can be expressed in terms of Jacobi elliptic functions. Surprisingly, in the case of two parallel mirrors, the equations of motion generically provide not a unique solution but a discrete set of solutions with increasing number of nodes and energies. The solutions obtained herein can be applied to qBOUNCE experiments, neutron interferometry and for the calculation of the symmetron-field-induced “Casimir force” in the CANNEX experiment. |
| doi_str_mv | 10.1103/PhysRevD.97.064015 |
| format | Article |
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The one-dimensional equations of motion are integrated exactly for both systems and their solutions can be expressed in terms of Jacobi elliptic functions. Surprisingly, in the case of two parallel mirrors, the equations of motion generically provide not a unique solution but a discrete set of solutions with increasing number of nodes and energies. The solutions obtained herein can be applied to qBOUNCE experiments, neutron interferometry and for the calculation of the symmetron-field-induced “Casimir force” in the CANNEX experiment.</description><identifier>ISSN: 2470-0010</identifier><identifier>EISSN: 2470-0029</identifier><identifier>DOI: 10.1103/PhysRevD.97.064015</identifier><language>eng</language><publisher>College Park: American Physical Society</publisher><subject>Elliptic functions ; Equations of motion ; Field theory ; Mathematical analysis ; Mirrors</subject><ispartof>Physical review. 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| subjects | Elliptic functions Equations of motion Field theory Mathematical analysis Mirrors |
| title | Exact solutions to nonlinear symmetron theory: One- and two-mirror systems |
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