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- W1997611580 abstract "In order to avoid the known problems of canonical quantisation of the dissipative equation mx+ alpha xn+ delta V/ delta x=0, a modified approach is proposed. It is based on the classically conserved quantity E=mx2/2+V(x)+ alpha integral xndx rather than on a Hamilton function. Linear, quadratic and cubic damping (n=1, 2 and 3) are discussed explicitly. For n=1 and n=3 normalisable (one-particle) states cannot be stable. However, for quadratic friction, which is classically a reversible process, the author shows, using the example of the harmonic oscillator, that stable normalisable eigenstates can exist." @default.
- W1997611580 created "2016-06-24" @default.
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- W1997611580 date "1989-04-21" @default.
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- W1997611580 title "Semi-canonical quantisation of dissipative equations" @default.
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- W1997611580 doi "https://doi.org/10.1088/0305-4470/22/8/017" @default.
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