Zobrazeno 1 - 10
of 60
pro vyhledávání: '"A.J. van Wonderen"'
Autor:
A.J. van Wonderen, L.G. Suttorp
Publikováno v:
Integral Transforms and Special Functions, 28(2), 156-165. Taylor and Francis Ltd.
A four-term recurrence relation for squared spherical Bessel functions is shown to yield closed-form expressions for several types of finite weighted sums of these functions. The resulting sum rules, which may contain an arbitrarily large number of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc22da2d5d1428ff2a507022c7b5f382
https://dare.uva.nl/personal/pure/en/publications/hierarchies-of-sum-rules-for-squares-of-spherical-bessel-functions(6d32e39c-a8b5-4cbf-89b9-3b293877aa1c).html
https://dare.uva.nl/personal/pure/en/publications/hierarchies-of-sum-rules-for-squares-of-spherical-bessel-functions(6d32e39c-a8b5-4cbf-89b9-3b293877aa1c).html
Autor:
L.G. Suttorp, A.J. van Wonderen
Publikováno v:
Journal of Physics. A, Mathematical and General, 51(17):175304. IOP Publishing Ltd.
Quantum dissipation is studied for a discrete system that linearly interacts with a reservoir of harmonic oscillators at thermal equilibrium. Initial correlations between system and reservoir are assumed to be absent. The dissipative dynamics as dete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a059abbe3b500b962766ce50261777a
Autor:
L.G. Suttorp, A.J. van Wonderen
Publikováno v:
Physical Review A, 92(1):013843. American Physical Society
The change in the decay rate of an excited atom that is brought about by extinction and thermal-radiation effects in a nearby dielectric medium is determined from a quantum-mechanical model. The medium is a collection of randomly distributed thermall
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a280abf1bcfdb397fb58e35b779fd8ab
https://doi.org/10.1103/physreva.92.013843
https://doi.org/10.1103/physreva.92.013843
Autor:
K. Lendi, A.J. van Wonderen
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 40:279-288
Two mutually noninteracting qubits with identical modest coupling to one and the same reservoir are considered. For a given Hamiltonian and uncorrelated initial state, the mathematically rigorous Davies theory of the weak-coupling and van Hove limit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ccd726c65ba8e6b7ee325e30ea6deb2c
https://doi.org/10.1088/1751-8113/40/2/007
https://doi.org/10.1088/1751-8113/40/2/007
Autor:
K. Lendi, A.J. van Wonderen
Publikováno v:
Journal of Physics A: Mathematical and General. 39:14511-14528
Starting from a prescribed Hamiltonian, we construct a non-Markovian evolution equation for a non-relativistic quantum system that exchanges energy with a large reservoir. In order to create sufficient mathematical freedom, the density operator is re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35cfa749b0c03594feb9c2c0c2ac52c8
https://doi.org/10.1088/0305-4470/39/46/018
https://doi.org/10.1088/0305-4470/39/46/018
Autor:
A.J. van Wonderen, L.G. Suttorp
Publikováno v:
Journal of Physics. A, Mathematical and General, 37, 11101-11122. IOP Publishing Ltd.
The Ullersma model for the damped harmonic oscillator is coupled to the quantised electromagnetic field. All material parameters and interaction strengths are allowed to depend on position. The ensuing Hamiltonian is expressed in terms of canonical f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e3681dbf30974bc8cb520e4e3f7ea70
https://doi.org/10.1088/0305-4470/37/46/002
https://doi.org/10.1088/0305-4470/37/46/002
Autor:
K. Lendi, A.J. van Wonderen
Publikováno v:
Journal of Physics. A, Mathematical and General, 33, 5757-5762. IOP Publishing Ltd.
Starting from the Schrodinger equation for a system and a reservoir, we construct a quantum dynamical map that describes reduced dynamics. We work with an arbitrary initial state for the system and reservoir, and thus refrain from performing any fact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4304f909f312b2dbe38d3d72a33e8434
https://doi.org/10.1088/0305-4470/33/32/311
https://doi.org/10.1088/0305-4470/33/32/311
Autor:
K. Lendi, A.J. van Wonderen
Publikováno v:
Journal of Statistical Physics. 100:633-658
A Markovian master equation with time-dependent generator is constructed that respects basic constraints of quantum mechanics, in particular the von Neumann conditions. For the case of a two-level system, Bloch equations with time-dependent parameter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0cd9c7b3d5fec44901aedc5cd6d40c88
https://doi.org/10.1023/a:1018671424739
https://doi.org/10.1023/a:1018671424739
Publikováno v:
Journal of Physics A: Mathematical and General. 31:3395-3416
On the basis of a representation in terms of photon-number states we derive an analytically solvable set of ordinary differential equations for the matrix elements of the density operator belonging to the Jaynes-Cummings model. We allow for atomic de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c44e241fbb136e7d2963ef7ad9b69d8
https://doi.org/10.1088/0305-4470/31/15/006
https://doi.org/10.1088/0305-4470/31/15/006
Autor:
K. Lendi, A.J. van Wonderen
Publikováno v:
Journal of Physics A: Mathematical and General. 30:4439-4445
The standard representation of angular momentum on Bargmann's Hilbert space of analytic functions is extended such that domains of operators include non-analytic functions, which are square integrable. Generalized eigenfunctions of angular momentum a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36701e29bd94cdd05d73005e5b5b2443
https://doi.org/10.1088/0305-4470/30/12/028
https://doi.org/10.1088/0305-4470/30/12/028