Two types of solutions of the Schrödinger–Langevin equation are investigated. It is proved that a special type of Gaussian solutions exist globally in time for the harmonic oscillator Hamiltonian. Furthermore, it is shown that the Schrödinger–Langevin equation can have no solitary wave type solutions in the damped free‐particle case which lie in L2.
REFERENCES
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
J. D.
Immele
, K.‐K.
Kan
, and J. J.
Griffin
, Nucl. Phys. A
241
, 47
–60
(1975
).11.
T. B.
Benjamin
, J. L.
Bona
, and J. J.
Mahony
, Philos. Trans. R. Soc. London, Ser. A
272
, 47
–78
(1972
).12.
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).
13.
H. Brézis, Op’erateurs tnaximaux monotones. Math. Studies Vol. 5 (North‐Holland, Amsterdam, 1973).
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© 1984 American Institute of Physics.
1984
American Institute of Physics
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