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| Content Provider | Springer Nature Link |
|---|---|
| Author | Zoli, Marco |
| Copyright Year | 2008 |
| Abstract | The semiclassical Euclidean path integral method is applied to compute the low temperature quantum decay rate for a particle placed in the metastable minimum of a cubic potential in a finite time theory. The classical path, which makes a saddle for the action, is derived in terms of Jacobian elliptic functions whose periodicity establishes the one-to-one correspondence between energy of the classical motion and temperature (inverse imaginary time) of the system. The quantum fluctuation contribution has been computed through the theory of the functional determinants for periodic boundary conditions. The decay rate shows a peculiar temperature dependence mainly due to the softening of the low lying quantum fluctuation eigenvalues. The latter are determined by solving the Lamè equation which governs the fluctuation spectrum around the time dependent classical bounce. |
| Starting Page | 1205 |
| Ending Page | 1220 |
| Page Count | 16 |
| File Format | |
| ISSN | 00222291 |
| Journal | Journal of Low Temperature Physics |
| Volume Number | 151 |
| Issue Number | 5-6 |
| e-ISSN | 15737357 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2008-02-14 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Low temperature decay rate Path integral methods Quantum fluctuations Soft modes Semiclassical theories and applications Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations Quantum statistical mechanics Path-integral methods Magnetism, Magnetic Materials Characterization and Evaluation of Materials Condensed Matter |
| Content Type | Text |
| Resource Type | Article |
| Subject | Atomic and Molecular Physics, and Optics Condensed Matter Physics Materials Science |
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