Quantum mechanics via extended measures

Srinivasan, S. K. (1997) Quantum mechanics via extended measures Journal of Physics A: Mathematical and General, 30 (23). pp. 8297-8315. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/30/23/026

Related URL: http://dx.doi.org/10.1088/0305-4470/30/23/026


Quantum phenomena are discussed using extended measures. The complex measurable processes introduced earlier are studied in greater depth in the context of harmonic oscillators. Some of the fundamental problems of radiation and interaction of radiation with matter are analysed in the general frame of extended measure theory. The connection to Feynman path integrals is also discussed and it is shown how the present approach circumvents the divergence difficulties particularly in the estimation of Lamb shift.

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