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(v5)The definition of $\\hat{q}_{new}$ and $\\hat{p}_{new}$ are corrected by replacing them with their hermitian conjugates. The errors and typos mentioned in the errata of PTP are corrected. arXiv admin note: substantial text overlap with arXiv:1009.0441"}]},{"notation":[{"@value":"We formulate a complex action theory which includes operators of coordinate and momentum $\\hat{q}$ and $\\hat{p}$ being replaced with non-hermitian operators $\\hat{q}_{new}$ and $\\hat{p}_{new}$, and their eigenstates ${}_m"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1420282801193906816","@type":"Researcher","personIdentifier":[{"@type":"KAKEN_RESEARCHERS","@value":"10391731"},{"@type":"NRID","@value":"1000010391731"},{"@type":"NRID","@value":"9000003414378"},{"@type":"NRID","@value":"9000401950731"},{"@type":"NRID","@value":"9000364782538"},{"@type":"NRID","@value":"9000351497219"},{"@type":"NRID","@value":"9000006554656"},{"@type":"NRID","@value":"9000351486812"},{"@type":"NRID","@value":"9000409295123"},{"@type":"RESEARCHMAP","@value":"https://researchmap.jp/read0105424"}],"foaf:name":[{"@value":"Keiichi 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