“Susskind–Glogower operator”的意思、由来-开放百科全书

The Susskind–Glogower operator, first proposed by Leonard Susskind and J. Glogower,^[1] refers to the operator where the phase is introduced as an approximate polar decomposition of the creation and annihilation operators.

where

is the number operator. So the exponential of the phase operator displaces the number operator in the same fashion as the momentum operator acts as the generator of translations in quantum mechanics:

They may be used to solve problems such as atom-field interactions,^[2] level-crossings ^[3] or to define some class of non-linear coherent states,^[4] among others.

References

1. ^{{cite journal | last1 = Susskind | first1 = L. | last2 = Glogower | first2 = J. | year = 1964 | title = Quantum mechanical phase and time operator | journal = Physica | volume = 1 | issue = | page = 49 | url = https://books.google.co.uk/books?id=c3JDAQAAIAAJ }}
2. ^{{cite journal | last1 = Rodríguez-Lara | first1 = B. M. | last2 = Moya-Cessa | first2 = H.M. | year = 2013 | title = Exact solution of generalized Dicke models via Susskind-Glogower operators | doi = 10.1088/1751-8113/46/9/095301 | journal = Journal of Physics A | volume = 46 | issue = | page = 095301 | arxiv = 1207.6551 | bibcode = 2013JPhA...46i5301R }}
3. ^{{cite journal | last1 = Rodríguez-Lara | first1 = B.M. | last2 = Rodríguez-Méndez | first2 = D. | last3 = Moya-Cessa | first3 = H. | year = 2011 | title = Solution to the Landau-Zener problem via Susskind-Glogower operators | doi = 10.1016/j.physleta.2011.08.051 | journal = Physics Letters A | volume = 375 | issue = | pages = 3770–3774 | arxiv = 1105.4013 | bibcode = 2011PhLA..375.3770R }}
4. ^{{cite journal | last1 = León-Montiel | first1 = J. | last2 = Moya-Cessa | first2 = H. | last3 = Soto-Eguibar | first3 = F. | year = 2011 | title = Nonlinear coherent states for the Susskind-Glogower operators | url = http://rmf.smf.mx/pdf/rmf-s/57/3/57_3_133.pdf | format = PDF | journal = Revista Mexicana de Física | volume = 57 | issue = | page = 133 }}