Use of Quantum Differential Equations in Sonic Processes

Fig. 1

Fig. 2

U1, Case 1 (x = ct), C=8,1014

t	x
16	129,6224
48	388,8672
80	648,1120
112	907,3568
144	1166,6016
176	1425,8464
208	1685,0912
240	1944,3360

U1, Case 1 (x = ct), C=4,1014

t	x
16	65,6224
48	196,8672
80	328,1120
112	459,3568
144	590,6016
176	721,8464
208	853,0912
240	984,3360

U1, Case 2 ( x=2π1−ci+ct x = {{2\pi } \over {1 - c}}i + ct ), C=8,1014

t	x
16	129,6224-50,6942
48	388,8672-50,6942
80	648,1120-50,6942
112	907,3568-50,6942
144	1166,6016-50,6942
176	1425,8464-50,6942
208	1685,0912-50,6942
240	1944,3360-50,6942

U2, Case 1 ( x=2π1−ci+ct x = {{2\pi } \over {1 - c}}i + ct ), C=8,1014

t	x
16	129,6224-12,6735
48	388,8672-12,6735
80	648,1120-12,6735
112	907,3568-12,6735
144	1166,6016-12,6735
176	1425,8464-12,6735
208	1685,0912-12,6735
240	1944,3360-12,6735

U1 Case 2 ( x=2π1−ci+ct x = {{2\pi } \over {1 - c}}i + ct ), C=4,1014

t	x
16	65,6224-116,0766
48	196,8672-116,0766
80	328,1120-116,0766
112	459,3568-116,0766
144	590,6016-116,0766
176	721,8464-116,0766
208	853,0912-116,0766
240	984,3360-116,0766

U2, Case 1 ( x=π2(1−c)i+ct x = {\pi \over {2(1 - c)}}i + ct ), C=4,1014

t	x
16	65,6224-29,0191
48	196,8672-29,0191
80	328,1120-29,0191
112	459,3568-29,0191
144	590,6016-29,0191
176	721,8464-29,0191
208	853,0912-29,0191
240	984,3360-29,0191

U2, Case 2 ( x=3π2(1−c)i+ct x = {{3\pi } \over {2(1 - c)}}i + ct ), C=4,1014

t	x
16	65,6224-87,0574
48	196,8672-87,0574
80	328,1120-87,0574
112	459,3568-87,0574
144	590,6016-87,0574
176	721,8464-87,0574
208	853,0912-87,0574
240	984,3360-87,0574

U2, Case 2 ( x=3π2(1−c)i+ct x = {{3\pi } \over {2(1 - c)}}i + ct ), C=8,1014

t	x
16	129,6224-38,0206
48	388,8672-38,0206
80	648,1120-38,0206
112	907,3568-38,0206
144	1166,6016-38,0206
176	1425,8464-38,0206
208	1685,0912-38,0206
240	1944,3360-38,0206