dorsal/arxiv
View SchemaImproved Lee, Oehme and Yang approximation
| Authors | K. Urbanowski, J. Piskorski |
|---|---|
| Categories | |
| ArXiv ID | physics/9803030 |
| URL | https://arxiv.org/abs/physics/9803030 |
Abstract
The Lee, Oehme and Yang (LOY) theory of time evolution in two state subspace of states of the complete system is discussed. Some inconsistencies in assumptions and approximations used in the standard derivation of the LOY effective Hamiltonian, H(LOY), governig this time evolution are found. Eliminating these inconsistecies and using the LOY method, approximate formulae for the effective Hamiltonian, H(eff), governing the time evolution in this subspace (improving those obtained by LOY) are derived. It is found, in contradistinction to the standard LOY result, that in the case of neutral kaons (<K(0)|H(eff)|K(0)> - <K(0)-bar|H(eff)|K(0)-bar>), cannot take the zero value if the total system the preserves CPT--symmetry. Within the use of the method mentioned above formulae for H(eff) acting in the three state (three dimensional) subspace of states are also found.
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"date_created": "2026-03-02T18:01:21.227000Z",
"date_modified": "2026-03-02T18:01:21.227000Z",
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"record": {
"abstract": "The Lee, Oehme and Yang (LOY) theory of time evolution in two state subspace\nof states of the complete system is discussed. Some inconsistencies in\nassumptions and approximations used in the standard derivation of the LOY\neffective Hamiltonian, H(LOY), governig this time evolution are found.\nEliminating these inconsistecies and using the LOY method, approximate formulae\nfor the effective Hamiltonian, H(eff), governing the time evolution in this\nsubspace (improving those obtained by LOY) are derived. It is found, in\ncontradistinction to the standard LOY result, that in the case of neutral kaons\n(\u003cK(0)|H(eff)|K(0)\u003e - \u003cK(0)-bar|H(eff)|K(0)-bar\u003e), cannot take the zero value\nif the total system the preserves CPT--symmetry. Within the use of the method\nmentioned above formulae for H(eff) acting in the three state (three\ndimensional) subspace of states are also found.",
"arxiv_id": "physics/9803030",
"authors": [
"K. Urbanowski",
"J. Piskorski"
],
"categories": [
"math-ph",
"hep-ph",
"math.MP"
],
"title": "Improved Lee, Oehme and Yang approximation",
"url": "https://arxiv.org/abs/physics/9803030"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d10ca6f9-d451-4572-87f8-1f5f3b7f2104",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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