Files in this item
Quantum dynamics of the damped harmonic oscillator
Item metadata
dc.contributor.author | Philbin, T. G. | |
dc.date.accessioned | 2014-05-12T10:31:01Z | |
dc.date.available | 2014-05-12T10:31:01Z | |
dc.date.issued | 2012-08-31 | |
dc.identifier | 117817145 | |
dc.identifier | 4482a31a-a936-4e42-974e-8c7f975c71db | |
dc.identifier | 000308363500005 | |
dc.identifier | 84865762067 | |
dc.identifier.citation | Philbin , T G 2012 , ' Quantum dynamics of the damped harmonic oscillator ' , New Journal of Physics , vol. 14 , 083043 . https://doi.org/10.1088/1367-2630/14/8/083043 | en |
dc.identifier.issn | 1367-2630 | |
dc.identifier.uri | https://hdl.handle.net/10023/4761 | |
dc.description.abstract | The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of additional harmonic oscillators as a reservoir. But a discrete reservoir cannot directly yield dynamics such as Ohmic damping (proportional to velocity) of the oscillator of interest. By using a continuum of oscillators as a reservoir, we canonically quantize the harmonic oscillator with Ohmic damping and also with general damping behaviour. The dynamics of a damped oscillator is determined by an arbitrary effective susceptibility that obeys the Kramers-Kronig relations. This approach offers an alternative description of nano-mechanical oscillators and opto-mechanical systems. | |
dc.format.extent | 31 | |
dc.format.extent | 913668 | |
dc.language.iso | eng | |
dc.relation.ispartof | New Journal of Physics | en |
dc.subject | Ground-state | en |
dc.subject | Brownian-motion | en |
dc.subject | Quantitization | en |
dc.subject | System | en |
dc.subject | Mechanics | en |
dc.subject | QC Physics | en |
dc.subject.lcc | QC | en |
dc.title | Quantum dynamics of the damped harmonic oscillator | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. School of Physics and Astronomy | en |
dc.identifier.doi | 10.1088/1367-2630/14/8/083043 | |
dc.description.status | Peer reviewed | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.