Time-Dependent Linear Hamiltonian Systems and Quantum Mechanics

Letters in Mathematical Physics

Volumn 38, Issue 2, 1996, Pages 117-127

  Rezende, Jorge ^a,b  

^a UNIVERSITY OF LISBON   (Portugal)

^b Departamento de Matemática

Author keywords

Explicit solutions; Linear Hamiltonian systems

Indexed keywords

EID: 0042041819     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00398314     Document Type: Article

References (9)

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2. Rezende, J.: Explicit solutions for some linear Hamiltonian systems, Preprint BiBoS No 636/5/94, Bielefeld, 1994.
3. Dittrich, W. and Reuter. M.: Classical and quantum Dynamics, Springer-Verlag, Berlin, 1994.
4. Lewis, H. R., Jr., and Riesenfeld, W. B.: An exact quantum theory of the time-dependent harmonic oscillator and a charged particle in a time-dependent electromagnetic field, J. Math. Phys. 10 (1969).
5. Hill, J. M.: Solution of Differential Equations by Means of One-Parameter Groups, Research Notes in Math. 63, Pitman, London, 1982.
6. Magnus, W.: On the exponential solution of differential equations for a linear operator, Comm. Pure Appl. Math. 7 (1954), 649-673.
7. Pechukas, P. and Light, J. C.: On the exponential form of time-displacement operators in quantum mechanics, J. Chem. Phys. 44 (1966), 3897-3912.
8. Rezende, J.: Quantum systems with time-dependent harmonic part and the Morse index, J. Math. Phys. 25 (1984), 3264-3269.
9. Rezende, J.: Feynman integrals and Fredholm determinants, J. Math. Phys. 35 (1994), 4357-4371.