The method of the deformation operator in quantum acoustics – a formulation of perturbation calculus
This paper gives a formulation of perturbation calculus which is useful for the description of coherent states related to the propagation of ultrasonic waves in crystals. This formulation is based on the results of the theory of coherent states, particularly on the properties of the deformation oper...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2016-03-01
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| Series: | Archives of Acoustics |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/3252 |
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| _version_ | 1849714883590881280 |
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| author | Sławomir PIEKARSKI |
| author_facet | Sławomir PIEKARSKI |
| author_sort | Sławomir PIEKARSKI |
| collection | DOAJ |
| description | This paper gives a formulation of perturbation calculus which is useful for the description of coherent states related to the propagation of ultrasonic waves in crystals. This formulation is based on the results of the theory of coherent states, particularly on the properties of the deformation operator. The method of the construction of the initial state, which is used in perturbation calculus, is verified through comparison with the results of the method of the quasi-equilibrium density matrix based on the use of information theory in statistical physics. The method of perturbation calculus which is presented in this paper describes the time dependence of the mean value of any physical quantity for a crystal which undergoes dynamic deformation. This method makes it possible to grasp the dependence of phenomena observed on the phase and amplitude of the initially excited acoustic wave. |
| format | Article |
| id | doaj-art-84561c9349e44e1d85ce4806cf0ef849 |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2016-03-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-84561c9349e44e1d85ce4806cf0ef8492025-08-20T03:13:33ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2016-03-0182The method of the deformation operator in quantum acoustics – a formulation of perturbation calculusSławomir PIEKARSKI0Institute of Fundamental Technological Research Polish Academy of SciencesThis paper gives a formulation of perturbation calculus which is useful for the description of coherent states related to the propagation of ultrasonic waves in crystals. This formulation is based on the results of the theory of coherent states, particularly on the properties of the deformation operator. The method of the construction of the initial state, which is used in perturbation calculus, is verified through comparison with the results of the method of the quasi-equilibrium density matrix based on the use of information theory in statistical physics. The method of perturbation calculus which is presented in this paper describes the time dependence of the mean value of any physical quantity for a crystal which undergoes dynamic deformation. This method makes it possible to grasp the dependence of phenomena observed on the phase and amplitude of the initially excited acoustic wave.https://acoustics.ippt.pan.pl/index.php/aa/article/view/3252 |
| spellingShingle | Sławomir PIEKARSKI The method of the deformation operator in quantum acoustics – a formulation of perturbation calculus Archives of Acoustics |
| title | The method of the deformation operator in quantum acoustics – a formulation of perturbation calculus |
| title_full | The method of the deformation operator in quantum acoustics – a formulation of perturbation calculus |
| title_fullStr | The method of the deformation operator in quantum acoustics – a formulation of perturbation calculus |
| title_full_unstemmed | The method of the deformation operator in quantum acoustics – a formulation of perturbation calculus |
| title_short | The method of the deformation operator in quantum acoustics – a formulation of perturbation calculus |
| title_sort | method of the deformation operator in quantum acoustics a formulation of perturbation calculus |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/3252 |
| work_keys_str_mv | AT sławomirpiekarski themethodofthedeformationoperatorinquantumacousticsaformulationofperturbationcalculus AT sławomirpiekarski methodofthedeformationoperatorinquantumacousticsaformulationofperturbationcalculus |