Zobrazeno 1 - 10
of 142
pro vyhledávání: '"B A, BURROWS"'
Autor:
B. L. Burrows, A. T. Amos
Publikováno v:
International Journal of Quantum Chemistry. 107:1954-1969
A model to treat the theory of currents through small bridge molecules connected to leads is constructed using the time-dependent Schrodinger equation and the wide-band approximation to treat the leads. It is shown that the behaviour of the current t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2aca26ba6d0b63adc42992e76b0e74f6
https://doi.org/10.1002/qua.21345
https://doi.org/10.1002/qua.21345
Autor:
Maurice Cohen, B. L. Burrows
Publikováno v:
International Journal of Quantum Chemistry. 106:478-484
We present exact analytical solutions for the much-studied problem of a hydrogen-like atom confined in a spherical box of radius R. These solutions, which are obtained for all states and all R, are expressed directly in terms of the Kummer M-function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0db88d3dd55356224338f1566e85cbde
https://doi.org/10.1002/qua.20736
https://doi.org/10.1002/qua.20736
Autor:
Maurice Cohen, B L Burrows
Publikováno v:
Journal of Physics A: Mathematical and General. 36:11643-11653
Lie algebraic techniques are used to obtain exact solutions of the time-dependent Schrodinger equation for a model double-well potential with an applied, time-dependent, dipole field. The model potential consists of harmonic potentials in x > 0 and x
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e121ed3c5f962afeb30461de4d8169c2
https://doi.org/10.1088/0305-4470/36/46/008
https://doi.org/10.1088/0305-4470/36/46/008
Autor:
B. L. Burrows, A. T. Amos
Publikováno v:
The Journal of Chemical Physics. 119:8335-8346
The theory of time-dependent currents through small molecules, with attached leads, is examined. The wide-band and narrow-band approximations are used to describe the leads and the time-dependent Schrodinger is applied directly. A variety of possible
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7efc71a18fbe881b913eb6c3467d6414
https://doi.org/10.1063/1.1611172
https://doi.org/10.1063/1.1611172
Publikováno v:
International Journal of Quantum Chemistry. 92:345-354
We present a novel explicit decoupling procedure that leads to exact solutions of the Schrodinger equation for N harmonic oscillators in the presence of general bilinear perturbing potentials. This generalizes previous work, which was restricted to o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4e68ec6426a9076c30c1f56b0b2017e
https://doi.org/10.1002/qua.10521
https://doi.org/10.1002/qua.10521
Publikováno v:
International Journal of Quantum Chemistry. 94:341-346
The usual tight-binding (TB) approximation, employed in electronic structure calculations, is extended to include the more-distant neighbor sites than the first. In doing so, a simple power law is adopted to describe the bond and overlap contribution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0619a2f166ed718385dcb76bbf7bf514
https://doi.org/10.1002/qua.10684
https://doi.org/10.1002/qua.10684
Autor:
A. T. Amos, B. L. Burrows
Publikováno v:
International Journal of Quantum Chemistry. 87:68-80
A combinatorial method for solving the time-dependent Schrodinger equation is used with the tight-binding approximation to consider the motion of wavepackets in chains and rings. A discussion of the relationship between the uncertainty principle and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::863d2532d3909e432bba13c404784b80
https://doi.org/10.1002/qua.10084
https://doi.org/10.1002/qua.10084
Publikováno v:
International Journal of Quantum Chemistry. 86:245-255
We present a theory of shift operators (i.e., operators which shift given solutions into other solutions), including their relationship with deformed algebras and describe a general constructive method which enables us to calculate such operators for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1ae01dd61de8cb03c6659d6319b01b5
https://doi.org/10.1002/qua.1103
https://doi.org/10.1002/qua.1103
Autor:
K. W. Sulston, B. L. Burrows
Publikováno v:
Physical Review B. 62:12113-12118
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::271cd8ce98947ea7a8e0efb94578c50e
https://doi.org/10.1103/physrevb.62.12113
https://doi.org/10.1103/physrevb.62.12113
Publikováno v:
Journal of Mathematical Physics. 41:5897-5909
We present simple explicit coordinate transformations which serve to decouple the Schrodinger equation for a pair of (not necessarily identical) harmonic oscillators in the presence of bilinear perturbing potentials. We derive general conditions for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ded63d866d8484ff8679f62fa026ede
https://doi.org/10.1063/1.1288248
https://doi.org/10.1063/1.1288248