Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Francisco Cossio"'
In this paper we achieve the quantization of a particle moving on the $SU(2)$ group manifold, that is, the three-dimensional sphere $S^{3}$, by using group-theoretical methods. For this purpose, a fundamental role is played by contact, non-point symm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d525b3c226d39a53cfe171dd7214b46
For the non-conservative Caldirola-Kanai system, describing a quantum damped harmonic oscillator, a couple of constant-of-motion operators generating the Heisenberg-Weyl algebra can be found. The inclusion of the standard time evolution generator (wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f29a7db93f0b9528c95e85a3cbf51c6
Different families of states, which are solutions of the time-dependent free Schr\"odinger equation, are imported from the harmonic oscillator using the Quantum Arnold Transformation introduced in a previous paper. Among them, infinite series of stat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3e0dc743255fa442394c8ea1068fac9
http://arxiv.org/abs/1010.5525
http://arxiv.org/abs/1010.5525
Publikováno v:
International Journal of Geometric Methods in Modern Physics. 12:1560016
We face a revision of the role of symmetries of a physical system aiming at characterizing the corresponding Solution Manifold (SM) by means of Noether invariants as a preliminary step towards a proper, non-canonical, quantization. To this end, "poin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb4dfc08fba8fad1caa57ac789dc9aa7
https://doi.org/10.1142/s0219887815600166
https://doi.org/10.1142/s0219887815600166
Publikováno v:
Journal of Physics: Conference Series. 538:012009
The symmetries of the equations of motion of a classical system are characterized in terms of vector field subalgebras of the whole diffeomorphism algebra of the solution manifold (the space of initial constants endowed with a symplectic structure).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1aa605c78077f023a8b200a49ea154fd
https://doi.org/10.1088/1742-6596/538/1/012009
https://doi.org/10.1088/1742-6596/538/1/012009
Publikováno v:
Journal of Physics: Conference Series. 380:012010
Using a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations (LSODE), including systems with fri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4c3f03e594dfe50344698baa5b67497
https://doi.org/10.1088/1742-6596/380/1/012010
https://doi.org/10.1088/1742-6596/380/1/012010
Publikováno v:
International Journal of Geometric Methods in Modern Physics. :1260011
The recently proposed quantum Arnold transformation is revisited and extended and its relation with other methods is emphasized. Possible applications are also outlined.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::533efeec876d46c1a963c4a24efc394d
https://doi.org/10.1142/s0219887812600110
https://doi.org/10.1142/s0219887812600110
Publikováno v:
Journal of Physics: Conference Series. 284:012062
For the quantum Caldirola-Kanai Hamiltonian, describing a quantum damped harmonic oscillator, a couple of constant of motion operators generating the Heisenberg algebra can be found. The inclusion in this algebra, in a unitary manner, of the standard
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ac272dbc7210b072aa9eeca2ccf27b0
https://doi.org/10.1088/1742-6596/284/1/012062
https://doi.org/10.1088/1742-6596/284/1/012062
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 44:065302
By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations, including systems with friction linea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a88cd9766720dc972b1c389771a54578
https://doi.org/10.1088/1751-8113/44/6/065302
https://doi.org/10.1088/1751-8113/44/6/065302