Coherent states and semiclassical description of quantum dissipative systems, spinning systems, and quantum relativistic particles.

• Grant number: 10/15698-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: May 01, 2011
• End date: March 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Dmitri Maximovitch Guitman
• Grantee: Katarzyna Górska
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 07/03726-1 - Quantization and problems of the quantum theory of fields, AP.TEM

Abstract

This project aims at the construction of coherent states for the semi-classical description of dissipative sistems, of an electron in a magnetic-solenoid field, and of relativistic particles.

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BAGROV, V. G.; GAVRILOV, S. P.; GITMAN, D. M.; GORSKA, K.. Completeness for coherent states in a magnetic-solenoid field. Journal of Physics A-Mathematical and Theoretical, v. 45, n. 24, SI, JUN 22 2012. (10/15698-5)

BABUSCI, D.; DATTOLI, G.; GORSKA, K.; PENSON, K. A.. Symbolic methods for the evaluation of sum rules of Bessel functions. Journal of Mathematical Physics, v. 54, n. 7, JUL 2013. (10/15698-5)

GORSKA, K.; PENSON, K. A.. Levy stable distributions via associated integral transform. Journal of Mathematical Physics, v. 53, n. 5, MAY 2012. (10/15698-5)

BABUSCI, D.; DATTOLI, G.; GORSKA, K.; PENSON, K. A.. Repeated derivatives of composite functions and generalizations of the Leibniz rule. Applied Mathematics and Computation, v. 241, p. 193-199, AUG 15 2014. (10/15698-5)

BABUSCI, D.; DATTOLI, G.; DUCHAMP, G. H. E.; GORSKA, K.; PENSON, K. A.. Definite integrals and operational methods. Applied Mathematics and Computation, v. 219, n. 6, p. 3017-3021, NOV 25 2012. (10/15698-5)

BAGROV, V. G.; GAVRILOV, S. P.; GITMAN, D. M.; GORSKA, K.. Completeness for coherent states in a magnetic-solenoid field. Journal of Physics A-Mathematical and Theoretical, v. 45, n. 24, p. 11-pg., 2012-06-22. (10/15698-5)