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Diploma thesis

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4 Complex harmonic potential<br />

(g) ω = 1.2 (h) ω = 1.4<br />

(i) ω = 1.5 (j) ω = 1.6<br />

(k) ω = 1.8 (l) ω = 2.0<br />

Figure 4.2: Real and imaginary part of the lowest six states as a function of the dissipation<br />

strength c of the imaginary potential. Two curves with the same colour represent the real and<br />

imaginary part of the energy of the state, where the real part starts at ε R (c = 0) = 2m − 1 and<br />

the imaginary part at ε I (c = 0) = 0. Moreover, ε ∞ -states are counted by integer n while ε 0 -states<br />

are counted by integer k.<br />

56

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