2001
DOI: 10.1103/physrevb.63.245316
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Hybrid resonances in the optical absorption of a three-dimensional anisotropic quantum well

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Cited by 19 publications
(20 citation statements)
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“…In our proceeding papers [27,29] we have found the transition matrix from the initial phase coordinates ( p, r) to the new ones ( P , Q). Using this matrix we can easily calculate the matrix elements of the coordinate and momentum operator because the wave function have a simple form of the product of the oscillatory functions Ψ nml = Φ n (Q 1 )Φ m (Q 2 )Φ l (Q 3 ) in the new phase variables ( P , Q).…”
Section: Introductionmentioning
confidence: 99%
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“…In our proceeding papers [27,29] we have found the transition matrix from the initial phase coordinates ( p, r) to the new ones ( P , Q). Using this matrix we can easily calculate the matrix elements of the coordinate and momentum operator because the wave function have a simple form of the product of the oscillatory functions Ψ nml = Φ n (Q 1 )Φ m (Q 2 )Φ l (Q 3 ) in the new phase variables ( P , Q).…”
Section: Introductionmentioning
confidence: 99%
“…However, the method of canonic transformation of the phase space [27] allows us to resolve this problem using only simple calculations from linear algebra. In particular, in our preceding papers we used this method to study hybrid and hybrid-phonon resonances in this system [28,29]. By means of a linear canonic transformation of the phase space, we found the new phase coordinates ( P , Q) such that Hamiltonian (2) has the canonic form [27,29]…”
Section: Introductionmentioning
confidence: 99%
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“…In this case, using the transition matrix ⌳, one can obtain the squares of the matrix elements of the operator V on the analogy of Ref. 15:…”
mentioning
confidence: 99%