Integrable case B=0 |
Small perturbation B=0.005 |
![Peres lattice - integrable](results/peres_lattice/onset_chaos_mini/peres_lattice_0.png) |
![Peres lattice - nonintegrable perturbation](results/peres_lattice/onset_chaos_mini/peres_lattice_1.png) |
Figure 1: 3000 points of the Peres lattice for the operator L^2 (hbar=0.005) |
The intensity of the blue color indicates the level density at given energy.
Note that the nonintegrable perturbation affects the most the states
close to each other both in energy and in the value of the second integral of motion L^2.
|
![Energy levels - integrable](results/levels/B=0/hbar=0.02/E/levels.png) |
![Energy levels - nonintegrable perturbation](results/levels/B=0.005/hbar=0.02/E/levels.png) |
Figure 2: 150 lowest energy levels (hbar=0.02) |
Section γ=0 the potential energy surface is drawed by the yellow curve. |
![Wave function - integrable, E(0)=-0.23031](results/levels/B=0/hbar=0.02/E/ev_0.png) |
![Wave function - nonintegrable perturbation, E(0)=-0.23068](results/levels/B=0.005/hbar=0.02/E/ev_0.png) |
![Wave function - integrable, E(1)=-0.22649](results/levels/B=0/hbar=0.02/E/ev_1.png) |
![Wave function - nonintegrable perturbation, E(1)=-0.22619](results/levels/B=0.005/hbar=0.02/E/ev_1.png) |
![Wave function - integrable, E(2)=-0.21522](results/levels/B=0/hbar=0.02/E/ev_2.png) |
![Wave function - nonintegrable perturbation, E(2)=-0.2152](results/levels/B=0.005/hbar=0.02/E/ev_2.png) |
![Wave function - integrable, E(3)=-0.19703](results/levels/B=0/hbar=0.02/E/ev_3.png) |
![Wave function - nonintegrable perturbation, E(3)=-0.19702](results/levels/B=0.005/hbar=0.02/E/ev_3.png) |
![Wave function - integrable, E(4)=-0.19159](results/levels/B=0/hbar=0.02/E/ev_4.png) |
![Wave function - nonintegrable perturbation, E(4)=-0.1919](results/levels/B=0.005/hbar=0.02/E/ev_4.png) |
![Wave function - integrable, E(5)=-0.18721](results/levels/B=0/hbar=0.02/E/ev_5.png) |
![Wave function - nonintegrable perturbation, E(5)=-0.18696](results/levels/B=0.005/hbar=0.02/E/ev_5.png) |
![Wave function - integrable, E(6)=-0.17443](results/levels/B=0/hbar=0.02/E/ev_6.png) |
![Wave function - nonintegrable perturbation, E(6)=-0.17442](results/levels/B=0.005/hbar=0.02/E/ev_6.png) |
![Wave function - integrable, E(7)=-0.17255](results/levels/B=0/hbar=0.02/E/ev_7.png) |
![Wave function - nonintegrable perturbation, E(7)=-0.17255](results/levels/B=0.005/hbar=0.02/E/ev_7.png) |
![Wave function - integrable, E(8)=-0.15427](results/levels/B=0/hbar=0.02/E/ev_8.png) |
![Wave function - nonintegrable perturbation, E(8)=-0.15452](results/levels/B=0.005/hbar=0.02/E/ev_8.png) |
![Wave function - integrable, E(9)=-0.15415](results/levels/B=0/hbar=0.02/E/ev_9.png) |
![Wave function - nonintegrable perturbation, E(9)=-0.15415](results/levels/B=0.005/hbar=0.02/E/ev_9.png) |
![Wave function - integrable, E(10)=-0.14911](results/levels/B=0/hbar=0.02/E/ev_10.png) |
![Wave function - nonintegrable perturbation, E(10)=-0.14891](results/levels/B=0.005/hbar=0.02/E/ev_10.png) |
![Wave function - integrable, E(11)=-0.1424](results/levels/B=0/hbar=0.02/E/ev_11.png) |
![Wave function - nonintegrable perturbation, E(11)=-0.14241](results/levels/B=0.005/hbar=0.02/E/ev_11.png) |
![Wave function - integrable, E(12)=-0.13439](results/levels/B=0/hbar=0.02/E/ev_12.png) |
![Wave function - nonintegrable perturbation, E(12)=-0.13438](results/levels/B=0.005/hbar=0.02/E/ev_12.png) |
![Wave function - integrable, E(13)=-0.12732](results/levels/B=0/hbar=0.02/E/ev_13.png) |
![Wave function - nonintegrable perturbation, E(13)=-0.12732](results/levels/B=0.005/hbar=0.02/E/ev_13.png) |
![Wave function - integrable, E(14)=-0.11853](results/levels/B=0/hbar=0.02/E/ev_14.png) |
![Wave function - nonintegrable perturbation, E(14)=-0.11871](results/levels/B=0.005/hbar=0.02/E/ev_14.png) |
![Wave function - integrable, E(15)=-0.11224](results/levels/B=0/hbar=0.02/E/ev_15.png) |
![Wave function - nonintegrable perturbation, E(15)=-0.11209](results/levels/B=0.005/hbar=0.02/E/ev_15.png) |
![Wave function - integrable, E(16)=-0.11162](results/levels/B=0/hbar=0.02/E/ev_16.png) |
![Wave function - nonintegrable perturbation, E(16)=-0.11162](results/levels/B=0.005/hbar=0.02/E/ev_16.png) |
![Wave function - integrable, E(17)=-0.10716](results/levels/B=0/hbar=0.02/E/ev_17.png) |
![Wave function - nonintegrable perturbation, E(17)=-0.10718](results/levels/B=0.005/hbar=0.02/E/ev_17.png) |
![Wave function - integrable, E(18)=-0.09499](results/levels/B=0/hbar=0.02/E/ev_18.png) |
![Wave function - nonintegrable perturbation, E(18)=-0.09498](results/levels/B=0.005/hbar=0.02/E/ev_18.png) |
![Wave function - integrable, E(19)=-0.09474](results/levels/B=0/hbar=0.02/E/ev_19.png) |
![Wave function - nonintegrable perturbation, E(19)=-0.09475](results/levels/B=0.005/hbar=0.02/E/ev_19.png) |
![Wave function - integrable, E(20)=-0.08462](results/levels/B=0/hbar=0.02/E/ev_20.png) |
![Wave function - nonintegrable perturbation, E(20)=-0.08475](results/levels/B=0.005/hbar=0.02/E/ev_20.png) |
![Wave function - integrable, E(21)=-0.08213](results/levels/B=0/hbar=0.02/E/ev_21.png) |
![Wave function - nonintegrable perturbation, E(21)=-0.08214](results/levels/B=0.005/hbar=0.02/E/ev_21.png) |
![Wave function - integrable, E(22)=-0.07659](results/levels/B=0/hbar=0.02/E/ev_22.png) |
![Wave function - nonintegrable perturbation, E(22)=-0.07649](results/levels/B=0.005/hbar=0.02/E/ev_22.png) |
![Wave function - integrable, E(23)=-0.06927](results/levels/B=0/hbar=0.02/E/ev_23.png) |
![Wave function - nonintegrable perturbation, E(23)=-0.06927](results/levels/B=0.005/hbar=0.02/E/ev_23.png) |
![Wave function - integrable, E(24)=-0.0673](results/levels/B=0/hbar=0.02/E/ev_24.png) |
![Wave function - nonintegrable perturbation, E(24)=-0.06732](results/levels/B=0.005/hbar=0.02/E/ev_24.png) |
![Wave function - integrable, E(25)=-0.05709](results/levels/B=0/hbar=0.02/E/ev_25.png) |
![Wave function - nonintegrable perturbation, E(25)=-0.05711](results/levels/B=0.005/hbar=0.02/E/ev_25.png) |
![Wave function - integrable, E(26)=-0.05602](results/levels/B=0/hbar=0.02/E/ev_26.png) |
![Wave function - nonintegrable perturbation, E(26)=-0.05601](results/levels/B=0.005/hbar=0.02/E/ev_26.png) |
![Wave function - integrable, E(27)=-0.053](results/levels/B=0/hbar=0.02/E/ev_27.png) |
![Wave function - nonintegrable perturbation, E(27)=-0.05307](results/levels/B=0.005/hbar=0.02/E/ev_27.png) |
![Wave function - integrable, E(28)=-0.04692](results/levels/B=0/hbar=0.02/E/ev_28.png) |
![Wave function - nonintegrable perturbation, E(28)=-0.04693](results/levels/B=0.005/hbar=0.02/E/ev_28.png) |
![Wave function - integrable, E(29)=-0.04198](results/levels/B=0/hbar=0.02/E/ev_29.png) |
![Wave function - nonintegrable perturbation, E(29)=-0.04193](results/levels/B=0.005/hbar=0.02/E/ev_29.png) |
![Wave function - integrable, E(30)=-0.03683](results/levels/B=0/hbar=0.02/E/ev_30.png) |
![Wave function - nonintegrable perturbation, E(30)=-0.03684](results/levels/B=0.005/hbar=0.02/E/ev_30.png) |
![Wave function - integrable, E(31)=-0.02689](results/levels/B=0/hbar=0.02/E/ev_31.png) |
![Wave function - nonintegrable perturbation, E(31)=-0.02689](results/levels/B=0.005/hbar=0.02/E/ev_31.png) |
![Wave function - integrable, E(32)=-0.02457](results/levels/B=0/hbar=0.02/E/ev_32.png) |
![Wave function - nonintegrable perturbation, E(32)=-0.02458](results/levels/B=0.005/hbar=0.02/E/ev_32.png) |
![Wave function - integrable, E(33)=-0.02323](results/levels/B=0/hbar=0.02/E/ev_33.png) |
![Wave function - nonintegrable perturbation, E(33)=-0.02325](results/levels/B=0.005/hbar=0.02/E/ev_33.png) |
![Wave function - integrable, E(34)=-0.01719](results/levels/B=0/hbar=0.02/E/ev_34.png) |
![Wave function - nonintegrable perturbation, E(34)=-0.01719](results/levels/B=0.005/hbar=0.02/E/ev_34.png) |
![Wave function - integrable, E(35)=-0.01488](results/levels/B=0/hbar=0.02/E/ev_35.png) |
![Wave function - nonintegrable perturbation, E(35)=-0.0149](results/levels/B=0.005/hbar=0.02/E/ev_35.png) |
![Wave function - integrable, E(36)=-0.00798](results/levels/B=0/hbar=0.02/E/ev_36.png) |
![Wave function - nonintegrable perturbation, E(36)=-0.00799](results/levels/B=0.005/hbar=0.02/E/ev_36.png) |
![Wave function - integrable, E(37)=-0.00672](results/levels/B=0/hbar=0.02/E/ev_37.png) |
![Wave function - nonintegrable perturbation, E(37)=-0.00674](results/levels/B=0.005/hbar=0.02/E/ev_37.png) |
![Wave function - integrable, E(38)=-0.00012](results/levels/B=0/hbar=0.02/E/ev_38.png) |
![Wave function - nonintegrable perturbation, E(38)=-5.0E-5](results/levels/B=0.005/hbar=0.02/E/ev_38.png) |
![Wave function - integrable, E(39)=0.0012](results/levels/B=0/hbar=0.02/E/ev_39.png) |
![Wave function - nonintegrable perturbation, E(39)=0.00118](results/levels/B=0.005/hbar=0.02/E/ev_39.png) |
![Wave function - integrable, E(40)=0.00875](results/levels/B=0/hbar=0.02/E/ev_40.png) |
![Wave function - nonintegrable perturbation, E(40)=0.00873](results/levels/B=0.005/hbar=0.02/E/ev_40.png) |
![Wave function - integrable, E(41)=0.01576](results/levels/B=0/hbar=0.02/E/ev_41.png) |
![Wave function - nonintegrable perturbation, E(41)=0.01574](results/levels/B=0.005/hbar=0.02/E/ev_41.png) |
![Wave function - integrable, E(42)=0.02187](results/levels/B=0/hbar=0.02/E/ev_42.png) |
![Wave function - nonintegrable perturbation, E(42)=0.02182](results/levels/B=0.005/hbar=0.02/E/ev_42.png) |
![Wave function - integrable, E(43)=0.02459](results/levels/B=0/hbar=0.02/E/ev_43.png) |
![Wave function - nonintegrable perturbation, E(43)=0.02418](results/levels/B=0.005/hbar=0.02/E/ev_43.png) |
![Wave function - integrable, E(44)=0.02472](results/levels/B=0/hbar=0.02/E/ev_44.png) |
![Wave function - nonintegrable perturbation, E(44)=0.02469](results/levels/B=0.005/hbar=0.02/E/ev_44.png) |
![Wave function - integrable, E(45)=0.02619](results/levels/B=0/hbar=0.02/E/ev_45.png) |
![Wave function - nonintegrable perturbation, E(45)=0.02673](results/levels/B=0.005/hbar=0.02/E/ev_45.png) |
![Wave function - integrable, E(46)=0.03145](results/levels/B=0/hbar=0.02/E/ev_46.png) |
![Wave function - nonintegrable perturbation, E(46)=0.03142](results/levels/B=0.005/hbar=0.02/E/ev_46.png) |
![Wave function - integrable, E(47)=0.03793](results/levels/B=0/hbar=0.02/E/ev_47.png) |
![Wave function - nonintegrable perturbation, E(47)=0.0379](results/levels/B=0.005/hbar=0.02/E/ev_47.png) |
![Wave function - integrable, E(48)=0.04406](results/levels/B=0/hbar=0.02/E/ev_48.png) |
![Wave function - nonintegrable perturbation, E(48)=0.04403](results/levels/B=0.005/hbar=0.02/E/ev_48.png) |
![Wave function - integrable, E(49)=0.04974](results/levels/B=0/hbar=0.02/E/ev_49.png) |
![Wave function - nonintegrable perturbation, E(49)=0.0497](results/levels/B=0.005/hbar=0.02/E/ev_49.png) |
![Wave function - integrable, E(50)=0.05384](results/levels/B=0/hbar=0.02/E/ev_50.png) |
![Wave function - nonintegrable perturbation, E(50)=0.05371](results/levels/B=0.005/hbar=0.02/E/ev_50.png) |
![Wave function - integrable, E(51)=0.05478](results/levels/B=0/hbar=0.02/E/ev_51.png) |
![Wave function - nonintegrable perturbation, E(51)=0.05474](results/levels/B=0.005/hbar=0.02/E/ev_51.png) |
![Wave function - integrable, E(52)=0.05891](results/levels/B=0/hbar=0.02/E/ev_52.png) |
![Wave function - nonintegrable perturbation, E(52)=0.0588](results/levels/B=0.005/hbar=0.02/E/ev_52.png) |
![Wave function - integrable, E(53)=0.06139](results/levels/B=0/hbar=0.02/E/ev_53.png) |
![Wave function - nonintegrable perturbation, E(53)=0.06087](results/levels/B=0.005/hbar=0.02/E/ev_53.png) |
![Wave function - integrable, E(54)=0.06155](results/levels/B=0/hbar=0.02/E/ev_54.png) |
![Wave function - nonintegrable perturbation, E(54)=0.06247](results/levels/B=0.005/hbar=0.02/E/ev_54.png) |
![Wave function - integrable, E(55)=0.07625](results/levels/B=0/hbar=0.02/E/ev_55.png) |
![Wave function - nonintegrable perturbation, E(55)=0.0762](results/levels/B=0.005/hbar=0.02/E/ev_55.png) |
![Wave function - integrable, E(56)=0.08157](results/levels/B=0/hbar=0.02/E/ev_56.png) |
![Wave function - nonintegrable perturbation, E(56)=0.08153](results/levels/B=0.005/hbar=0.02/E/ev_56.png) |
![Wave function - integrable, E(57)=0.08658](results/levels/B=0/hbar=0.02/E/ev_57.png) |
![Wave function - nonintegrable perturbation, E(57)=0.08654](results/levels/B=0.005/hbar=0.02/E/ev_57.png) |
![Wave function - integrable, E(58)=0.08693](results/levels/B=0/hbar=0.02/E/ev_58.png) |
![Wave function - nonintegrable perturbation, E(58)=0.08684](results/levels/B=0.005/hbar=0.02/E/ev_58.png) |
![Wave function - integrable, E(59)=0.09121](results/levels/B=0/hbar=0.02/E/ev_59.png) |
![Wave function - nonintegrable perturbation, E(59)=0.09116](results/levels/B=0.005/hbar=0.02/E/ev_59.png) |
![Wave function - integrable, E(60)=0.09534](results/levels/B=0/hbar=0.02/E/ev_60.png) |
![Wave function - nonintegrable perturbation, E(60)=0.09527](results/levels/B=0.005/hbar=0.02/E/ev_60.png) |
![Wave function - integrable, E(61)=0.09818](results/levels/B=0/hbar=0.02/E/ev_61.png) |
![Wave function - nonintegrable perturbation, E(61)=0.09806](results/levels/B=0.005/hbar=0.02/E/ev_61.png) |
![Wave function - integrable, E(62)=0.09882](results/levels/B=0/hbar=0.02/E/ev_62.png) |
![Wave function - nonintegrable perturbation, E(62)=0.09872](results/levels/B=0.005/hbar=0.02/E/ev_62.png) |
![Wave function - integrable, E(63)=0.10144](results/levels/B=0/hbar=0.02/E/ev_63.png) |
![Wave function - nonintegrable perturbation, E(63)=0.10105](results/levels/B=0.005/hbar=0.02/E/ev_63.png) |
![Wave function - integrable, E(64)=0.1022](results/levels/B=0/hbar=0.02/E/ev_64.png) |
![Wave function - nonintegrable perturbation, E(64)=0.1021](results/levels/B=0.005/hbar=0.02/E/ev_64.png) |
![Wave function - integrable, E(65)=0.10279](results/levels/B=0/hbar=0.02/E/ev_65.png) |
![Wave function - nonintegrable perturbation, E(65)=0.10379](results/levels/B=0.005/hbar=0.02/E/ev_65.png) |
![Wave function - integrable, E(66)=0.12298](results/levels/B=0/hbar=0.02/E/ev_66.png) |
![Wave function - nonintegrable perturbation, E(66)=0.12291](results/levels/B=0.005/hbar=0.02/E/ev_66.png) |
![Wave function - integrable, E(67)=0.13111](results/levels/B=0/hbar=0.02/E/ev_67.png) |
![Wave function - nonintegrable perturbation, E(67)=0.13105](results/levels/B=0.005/hbar=0.02/E/ev_67.png) |
![Wave function - integrable, E(68)=0.13517](results/levels/B=0/hbar=0.02/E/ev_68.png) |
![Wave function - nonintegrable perturbation, E(68)=0.13511](results/levels/B=0.005/hbar=0.02/E/ev_68.png) |
![Wave function - integrable, E(69)=0.13684](results/levels/B=0/hbar=0.02/E/ev_69.png) |
![Wave function - nonintegrable perturbation, E(69)=0.13678](results/levels/B=0.005/hbar=0.02/E/ev_69.png) |
![Wave function - integrable, E(70)=0.1389](results/levels/B=0/hbar=0.02/E/ev_70.png) |
![Wave function - nonintegrable perturbation, E(70)=0.13883](results/levels/B=0.005/hbar=0.02/E/ev_70.png) |
![Wave function - integrable, E(71)=0.14222](results/levels/B=0/hbar=0.02/E/ev_71.png) |
![Wave function - nonintegrable perturbation, E(71)=0.14213](results/levels/B=0.005/hbar=0.02/E/ev_71.png) |
![Wave function - integrable, E(72)=0.14407](results/levels/B=0/hbar=0.02/E/ev_72.png) |
![Wave function - nonintegrable perturbation, E(72)=0.14391](results/levels/B=0.005/hbar=0.02/E/ev_72.png) |
![Wave function - integrable, E(73)=0.14503](results/levels/B=0/hbar=0.02/E/ev_73.png) |
![Wave function - nonintegrable perturbation, E(73)=0.14489](results/levels/B=0.005/hbar=0.02/E/ev_73.png) |
![Wave function - integrable, E(74)=0.14721](results/levels/B=0/hbar=0.02/E/ev_74.png) |
![Wave function - nonintegrable perturbation, E(74)=0.14677](results/levels/B=0.005/hbar=0.02/E/ev_74.png) |
![Wave function - integrable, E(75)=0.1476](results/levels/B=0/hbar=0.02/E/ev_75.png) |
![Wave function - nonintegrable perturbation, E(75)=0.14735](results/levels/B=0.005/hbar=0.02/E/ev_75.png) |
![Wave function - integrable, E(76)=0.14857](results/levels/B=0/hbar=0.02/E/ev_76.png) |
![Wave function - nonintegrable perturbation, E(76)=0.14865](results/levels/B=0.005/hbar=0.02/E/ev_76.png) |
![Wave function - integrable, E(77)=0.14885](results/levels/B=0/hbar=0.02/E/ev_77.png) |
![Wave function - nonintegrable perturbation, E(77)=0.15011](results/levels/B=0.005/hbar=0.02/E/ev_77.png) |
![Wave function - integrable, E(78)=0.16153](results/levels/B=0/hbar=0.02/E/ev_78.png) |
![Wave function - nonintegrable perturbation, E(78)=0.16147](results/levels/B=0.005/hbar=0.02/E/ev_78.png) |
![Wave function - integrable, E(79)=0.17741](results/levels/B=0/hbar=0.02/E/ev_79.png) |
![Wave function - nonintegrable perturbation, E(79)=0.17737](results/levels/B=0.005/hbar=0.02/E/ev_79.png) |
![Wave function - integrable, E(80)=0.18732](results/levels/B=0/hbar=0.02/E/ev_80.png) |
![Wave function - nonintegrable perturbation, E(80)=0.18723](results/levels/B=0.005/hbar=0.02/E/ev_80.png) |
![Wave function - integrable, E(81)=0.18908](results/levels/B=0/hbar=0.02/E/ev_81.png) |
![Wave function - nonintegrable perturbation, E(81)=0.18899](results/levels/B=0.005/hbar=0.02/E/ev_81.png) |
![Wave function - integrable, E(82)=0.19202](results/levels/B=0/hbar=0.02/E/ev_82.png) |
![Wave function - nonintegrable perturbation, E(82)=0.19192](results/levels/B=0.005/hbar=0.02/E/ev_82.png) |
![Wave function - integrable, E(83)=0.19347](results/levels/B=0/hbar=0.02/E/ev_83.png) |
![Wave function - nonintegrable perturbation, E(83)=0.19332](results/levels/B=0.005/hbar=0.02/E/ev_83.png) |
![Wave function - integrable, E(84)=0.1946](results/levels/B=0/hbar=0.02/E/ev_84.png) |
![Wave function - nonintegrable perturbation, E(84)=0.19448](results/levels/B=0.005/hbar=0.02/E/ev_84.png) |
![Wave function - integrable, E(85)=0.19677](results/levels/B=0/hbar=0.02/E/ev_85.png) |
![Wave function - nonintegrable perturbation, E(85)=0.19656](results/levels/B=0.005/hbar=0.02/E/ev_85.png) |
![Wave function - integrable, E(86)=0.19713](results/levels/B=0/hbar=0.02/E/ev_86.png) |
![Wave function - nonintegrable perturbation, E(86)=0.19684](results/levels/B=0.005/hbar=0.02/E/ev_86.png) |
![Wave function - integrable, E(87)=0.19842](results/levels/B=0/hbar=0.02/E/ev_87.png) |
![Wave function - nonintegrable perturbation, E(87)=0.19797](results/levels/B=0.005/hbar=0.02/E/ev_87.png) |
![Wave function - integrable, E(88)=0.19908](results/levels/B=0/hbar=0.02/E/ev_88.png) |
![Wave function - nonintegrable perturbation, E(88)=0.19879](results/levels/B=0.005/hbar=0.02/E/ev_88.png) |
![Wave function - integrable, E(89)=0.19947](results/levels/B=0/hbar=0.02/E/ev_89.png) |
![Wave function - nonintegrable perturbation, E(89)=0.19989](results/levels/B=0.005/hbar=0.02/E/ev_89.png) |
![Wave function - integrable, E(90)=0.19976](results/levels/B=0/hbar=0.02/E/ev_90.png) |
![Wave function - nonintegrable perturbation, E(90)=0.20117](results/levels/B=0.005/hbar=0.02/E/ev_90.png) |
![Wave function - integrable, E(91)=0.20232](results/levels/B=0/hbar=0.02/E/ev_91.png) |
![Wave function - nonintegrable perturbation, E(91)=0.20227](results/levels/B=0.005/hbar=0.02/E/ev_91.png) |
![Wave function - integrable, E(92)=0.21986](results/levels/B=0/hbar=0.02/E/ev_92.png) |
![Wave function - nonintegrable perturbation, E(92)=0.21983](results/levels/B=0.005/hbar=0.02/E/ev_92.png) |
![Wave function - integrable, E(93)=0.23203](results/levels/B=0/hbar=0.02/E/ev_93.png) |
![Wave function - nonintegrable perturbation, E(93)=0.23196](results/levels/B=0.005/hbar=0.02/E/ev_93.png) |
![Wave function - integrable, E(94)=0.2405](results/levels/B=0/hbar=0.02/E/ev_94.png) |
![Wave function - nonintegrable perturbation, E(94)=0.24042](results/levels/B=0.005/hbar=0.02/E/ev_94.png) |
![Wave function - integrable, E(95)=0.24515](results/levels/B=0/hbar=0.02/E/ev_95.png) |
![Wave function - nonintegrable perturbation, E(95)=0.2451](results/levels/B=0.005/hbar=0.02/E/ev_95.png) |
![Wave function - integrable, E(96)=0.2464](results/levels/B=0/hbar=0.02/E/ev_96.png) |
![Wave function - nonintegrable perturbation, E(96)=0.24628](results/levels/B=0.005/hbar=0.02/E/ev_96.png) |
![Wave function - integrable, E(97)=0.24999](results/levels/B=0/hbar=0.02/E/ev_97.png) |
![Wave function - nonintegrable perturbation, E(97)=0.24985](results/levels/B=0.005/hbar=0.02/E/ev_97.png) |
![Wave function - integrable, E(98)=0.25043](results/levels/B=0/hbar=0.02/E/ev_98.png) |
![Wave function - nonintegrable perturbation, E(98)=0.25025](results/levels/B=0.005/hbar=0.02/E/ev_98.png) |
![Wave function - integrable, E(99)=0.2519](results/levels/B=0/hbar=0.02/E/ev_99.png) |
![Wave function - nonintegrable perturbation, E(99)=0.25171](results/levels/B=0.005/hbar=0.02/E/ev_99.png) |
![Wave function - integrable, E(100)=0.25305](results/levels/B=0/hbar=0.02/E/ev_100.png) |
![Wave function - nonintegrable perturbation, E(100)=0.25271](results/levels/B=0.005/hbar=0.02/E/ev_100.png) |
Figure 3: Wave functions for the lowest 100 energy levels from Figure 2 |