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Time Operator in Quantum Mechanics

DOI: 10.4236/oalib.1105816, PP. 1-6

Subject Areas: Quantum Mechanics

Keywords: Quantum Mechanics, Quantum Physics, Quantum Operators, Time Operators

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Abstract

We can not only bring time operator in quantum mechanics (non-relativistic) but also determine its Eigen value, commutation relation of its square with energy and some of the properties of time operator like either it is Hermitian or not, either its expectation value is real or complex for a wave packet etc. Exactly these are what I have done.

Cite this paper

Routh, A. K. (2019). Time Operator in Quantum Mechanics. Open Access Library Journal, 6, e5816. doi: http://dx.doi.org/10.4236/oalib.1105816.

References

[1]  Zettili, N. (2003) Quantum Mechanics: Concepts and Applications. American Journal of Physics, 71, 93. https://doi.org/10.1119/1.1522702
[2]  Wang, Z.-Y. and Xiong, C.-D. (2007) How to Introduce Time Operator. Annals of Physics, 322, 2304-2314. https://doi.org/10.1016/j.aop.2006.10.007
[3]  Olkhovsky, V., Recami, E. and Gerasimchuk, A. (1974) Time Operator in Quantum Mechanics. Il Nuovo Cimento A (1965-1970), 22, 263-278.
https://doi.org/10.1007/BF02813438

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