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1 ,,,,,,,,,,,, D.,,, L.,,, E.,,,,,, 1 1,,,,, 2,,, 7 1 2, Contribution No.: CB ,,,,,,,, 3,,,,, 10,,,,,,, 2, 3 5, 7

2 ,,, 2,, 3,, 4,,,,,,,,,,,,, 4,,,,,,,,, 1, 50, 1, 50 50, 2, M.,, 5,,, M., 2, 2, 2 *, 1 2,, x, x x d x 2 dx, 2, dx,, x, y, z r,, r r,, d dxdydz 2 d 2,,, 2,,,, r,,,,,,,, 8

3 , 6 1,,,,,,,,,, 3,, 1 1 1, 3, 7 9,,, 2,,, 1,,,,,,,,,,,,,, 1 1,, 2, 1,, 2, 1,, 1, 1,,, 2, 2,,,,,,,,,,,,,, 9

4 4 D., E. 8, 10 12, A. 11, 12, L ,, D. 11, 14, ,,, 14 18, t 1 h 2 ih 2 V 1 t 2m h h 2 i, m, V,, , 2 x 2 y 2 z 2, 1, R exp is 2 h R S, R 2 S R t m 14, 17,, x y z, x, y, z,, divergence, div, S,,,,, x y z, x, y, z gradient, grad,,, 3, S S 2 h 2 2 R V 0 4 t 2m 2m R 14, 17, S,, V,, S,, S E p 14, 19 S E 5 t p S , p 2 h 2 2 R E V 7 2m 2m R 7 1, 2 3 Q, h 2 2 R Q 8 2m R Q, 7 Q 4, 9 S S 2 V Q 9 t 2m 6, 9, S S 2 p p p p 10 t 2m t 2m t p p, 0, 2m x, y, z p x, p y, p z, 9 10, dp V Q 11 dt 14, 17 7, 11,, Q,, Q, Q 6 p, 10

5 v p v m 12, R S 0, R, P, P 2 R , 12, 13 3 P Pv 0 14 t 14, 20,, 6 12, J 21 J P P Sp m m Pv 15 15, S S, 15,,, 12, 21 J 14, P J 0 16 t 16,, P, J 20,, R, S, 15,,,,,,,,,,, 8,,,,,,,,,,,, S 0,,,,,, 6 12 dt,,, 1 1, 2, V 0 V 0,, Q V 0,,,,,,, 2, 2, 2,,, V 0 2,,,,,,,,, 11

6 2 15, 18,,,,, 2, S 0, 6, p S 0,, 1,,,,,,, 14, 18,,,,, 18,,,, 16,,,,,,,,, 1,,,, 16,,,,,,,,,, 16,,,, 1,, 16, 2,, 2, V,,, 2,,, 1, 1,,,, 11, 12,, 12

7 ,, 12, 13, 1,, 2,, 3,,,, 4,,,,, 1,,, 2, 1, 2 2,,, 5 E. 1, E , 22,, dr v v dt, r dr, 6, 12, S dr dt 17 m,, dr S h Ph dw 18 m 2m P 2m dr dt 17, 18 1, 2, 3, W, h m, 1, 2 3, P 2, lnp P, P lnp, 3, 18,,, 17 3,, ,, 18 3,,, 18 2,,,,, 2,, 17, 22,, 18,,,,,,,,,, 7,,, 23 8,, 13

8 3,,,,,, 17,, 2,,, , 8,,, 8,,,,,,,,, 17, 2,,,, 17,,,,,,,,,,,,,,, 1, 3, 4,,,,,, 6,,,, 16,,, 2, 2,, 1,,, 24,, , 14

9 , 1,,,,,,, 22,,,, 8,, 20, 25,,,,,,,,,,,,, P,, 20 1,, 1, 1 2, 3,, 4, 4,, 26,,,,,,,,,, 25,,,,,,, 1 1 4,,,, 15

10 mev kev,,, 1,,,, V r,,, 7,,,,, 1,,,,,,,,,,,,, 1,,,,, 2,,,,,,,,,,, 2,,,,,,,, 8, /, 7,,,, 50 27,,,,, 1, 28,,,,,, 29,,,,, 16

11 ,,,,,,,,,,,, 30,,,,,,,,,, 31,,,,,,,,,,,,,,,,, H. Kuhn, H.-D. Försterling, I ,., P. Atkins, J. de Paula,, ,,., , M.P. Silverman, I., J. Baggott: The Quantum Story, Oxford University press, New York A. Whitaker: The New Quantum Age From Bell s Theorem to Quantum Computation and Teleportation, Oxford University press, New York L. de Broglie,., D. Bohm: Phys. Rev. 85, D. Bohm, B.J. Hiley: The Undivided Universe, Routledge, London A.I.M. Rae: Quantum Mechanics, IOP Publishing, Bristol , D. Dürr, S. Teufel: Bohmian Mechanics The Physics and Mathematics of Quantum Theory, Springer, New York J.J. Sakurai, San Fu Tuan,. 56,

12 22 E. Nelson: Phys. Rev. 150, , ,., M.J. Moore, B H. Eyring, J. Walter, G.E. Kimball,, , 20, A Descriptive Explanation of Wave Function in Quantum Mechanics Hisashi Hayashi Department of Chemical and Biological Sciences, Faculty of Science, Japan Women s University Received August 26,

3345 チュートリアル 1 HP テンソル代数 テンソル解析 - - 連続体力学の数理的基礎 - 第 4 講テンソル解析 - テンソル場の微積分 - 登坂宣好 第 4 講概要 2, 3 1 筆者紹介 1971 Engineering Science gradient divergence rota

3345 チュートリアル 1 HP テンソル代数 テンソル解析 - - 連続体力学の数理的基礎 - 第 4 講テンソル解析 - テンソル場の微積分 - 登坂宣好 第 4 講概要 2, 3 1 筆者紹介 1971 Engineering Science gradient divergence rota 3345 チュートリアル 1 HP テンソル代数 テンソル解析 - - 連続体力学の数理的基礎 - 第 4 講テンソル解析 - テンソル場の微積分 - 登坂宣好 第 4 講概要 2, 3 1 筆者紹介 1971 Engineering cience gradient divergence rotation nabla 3 1 2 3 4 5 6 ol.20, No.4 2015 27 1 [1,2]

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