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The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries
Інший ID:
2000 Mathematics Subject Classification: 81S99; 81U15
Посилання:
The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries / R. de la Madrid // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 52 назв. — англ.
Підтримка:
This paper is a contribution to the Proceedings of the VIIth Workshop “Quantum Physics with NonHermitian Operators” (June 29 – July 11, 2008, Benasque, Spain). The author wishes to thank the organizers of PHHQP VII for their kind invitation to participate in the conference and for their warm hospitality.
Дата:
2009
Переглядів:
396
Завантажень:
232
Анотація:
We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain how the non-obvious but correct analytical continuation is done. We will see that the physical basis for the non-obvious but correct analytic continuation lies in the invariance of the Hamiltonian under anti-unitary symmetries such as time reversal or PT.
