Non-Linear Generalization of the Relativistic Schrödinger Equations
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Abstract The theory of the Relativistic Schrödinger Equations is further developped and extended to non-linear field equations. The technical advantage of the Relativistic Schrödinger approach is demonstrated explicitly by solving the coupled Einstein-Klein-Gordon equations including a non-linear Higgs potential in case of a Robertson-Walker universe. The numerical results yield the effect of dynamical self-diagonalization of the Hamiltonian which corresponds to a kind of quantum de-coherence being enabled by the inflation of the universe.
2006 ◽
Vol 29
(9)
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pp. 947-964
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1997 ◽
Vol 20
(7)
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pp. 599-616
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2018 ◽
Vol 23
(9)
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pp. 4021-4044
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2014 ◽
Vol 34
(7)
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pp. 2795-2818
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2019 ◽
Vol 95
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pp. 104-113
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2019 ◽
Vol 143
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pp. 133-145
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