Summary
The concept of loss energy states is introduced. The loss energy states of the quantum harmonic damping oscillator are considered in detail. The method of constructing the loss energy states for general multidimensional quadratic nonstationary quantum systems is briefly discussed.
Riassunto
Si introduce il concetto di stati di energia di perdita. Si considerano in dettaglio gli stati di energia di perdita dell'oscillatore armonico quantico di smorzamento. Si discute brevemente il metodo per costruire gli stati di energia di perdita di sistemi quantistici generali multidimensionali quadratici non stazionari.
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References
A. Holz:Lett. Nuovo Cimento,4, 1319 (1970).
I. A. Malkin, V. I. Man'ko andD. A. Trifonov:Kratkie soobsheniya po fizike, No. 5, p. 20, 27, P. N. Lebedev Institute of Physics, Moscow (1971);Journ. Math. Phys.,14, 576 (1973).
V. V. Dodonov, I. A. Malkin andV. I. Man'ko:Teor. Mat. Fiz.,24, 164 (1975);Int. Journ. Theor. Phys.,14, 37 (1975).
Ya. B. Zel'dovich:Žurn. Ėksp. Teor. Fiz.,51, 1492 (1966).
V. I. Ritus:Žurn. Ėksp. Teor. Fiz.,51, 1544 (1966).
P. Caldirola:Nuovo Cimento,18, 393 (1941).
E. Kanai:Prog. Theor. Phys.,3, 440 (1948).
E. H. Kerner:Canad. Journ. Phys.,36, 371 (1958).
G. Valentini:Nuovo Cimento,19, 1280 (1961).
E. D. Mshella, W. Scheid andW. Greiner:Nuovo Cimento,30 A, 589 (1975).
R. W. Hasse:Journ. Math. Phys.,16, 2005 (1975).
P. G. Sona:Energia Nucleare,13, 318 (1966).
Y. Gelman andE. J. Saletan:Nuovo Cimento,18 B, 53 (1973).
G. Caratu, G. Marmo, A. Simoni, B. Vitale andF. Zaccaria:Nuovo Cimento,31 B, 152 (1976).
A. I. Baz, Ya. B. Zel'dovich andA. M. Perelomov:Scattering, Reactions and Decays in Nonrelativistic Quantum Mechanics, chap. 6, sect.6 (Moscow, 1971).
H. Sambe:Phys. Rev. A,7, 2203 (1973).
I. A. Malkin, V. I. Man'ko andA. P. Shustov: P. N. Lebedev Institute of Physics, preprint No. 169 (1975).
H. R. Lewis andW. B. Riesenfeld:Journ. Math. Phys.,10, 1458 (1969).
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Dodonov, V.V., Man'ko, V.I. Loss energy states of nonstationary quantum systems. Nuov Cim B 44, 265–274 (1978). https://doi.org/10.1007/BF02726792
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DOI: https://doi.org/10.1007/BF02726792