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\"1665472968317585.jpg\"<\/p>\n

\u3010\u57fa\u790e\u7269\u7406\u2160\u529b\u5b78\u3001\u76f8\u5c0d\u8ad6\u548c\u71b1\u529b\u5b78\u3011<\/span><\/strong><\/span><\/strong><\/p>\n

\u5167\u5bb9\u7c21\u4ecb<\/span><\/strong><\/p>\n

\u300a\u8036\u9b6f\u5927\u5b78\u958b\u653e\u8ab2\u7a0b\uff08\u57fa\u790e\u7269\u74062\u96fb\u78c1\u5b78\u3001\u5149\u5b78\u548c\u91cf\u5b50\u529b\u5b78\uff09\/\u4e16\u754c\u540d\u6821\u540d\u5bb6\u57fa\u790e\u6559\u80b2\u7cfb\u5217\u300b\u7cfb\u300a\u57fa\u790e\u7269\u7406\u300b\uff08\u6d89\u53ca\u529b\u5b78\u3001\u76f8\u5c0d\u8ad6\u3001\u632f\u52d5\u8207\u6ce2\u52d5\u3001\u6d41\u9ad4\u3001\u71b1\u529b\u5b78\u7b49\uff09\u7684\u59ca\u59b9\u7bc7\uff0c\u517124\u7ae0\uff0c\u5305\u62ec\u96fb\u78c1\u5b78\u3001\u5149\u5b78\u548c\u91cf\u5b50\u529b\u5b78\u7b49\u5167\u5bb9\u3002 \u5728\u66f8\u4e2d\uff0cR. \u5c1a\u5361\u723e\u7684\u7269\u7406\u5b78\u5bb6\u548c\u5bcc\u65bc\u611f\u67d3\u529b\u7684\u71b1\u5fc3\u6559\u80b2\u5bb6\uff0c\u7c21\u660e\u627c\u8981\u5730\u8b1b\u8ff0\u4e86\u7269\u7406\u5b78\u7684\u57fa\u672c\u6982\u5ff5\u3002 \u9019\u4e00\u5de5\u4f5c\u70ba\u7406\u5de5\u79d1\u5c08\u696d\u7684\u5927\u5b78\u751f\uff0c\u70ba\u7a4d\u6975\u5b78\u7fd2\u7269\u7406\u5148\u4fee\u8ab2\u7684\u9ad8\u4e2d\u751f\uff0c\u70ba\u5c0d\u79d1\u5b78\u9032\u5c55\u611f\u8208\u8da3\u7684\u8b80\u8005\u63d0\u4f9b\u4e86\u7406\u60f3\u7684\u5165\u9580\u6559\u6750\u3002<\/p>\n

\u4f5c\u8005\u7c21\u4ecb<\/span><\/strong><\/p>\n

R. Shankar\uff0c\u8036\u9b6f\u5927\u5b78\u7269\u7406\u5b78\u201c\u7d04\u7ff0\u00b7\u502b\u9053\u592b\u00b7\u970d\u592b\u66fc\u201d\u6559\u6388\uff0c\u7f8e\u570b\u85dd\u8853\u8207\u79d1\u5b78\u9662\u9662\u58eb\uff0c2009\u5e74\u7f8e\u570b\u7269\u7406\u5b78\u6703\u5229\u6797\u83f2\u723e\u5fb7\u734e\u5f97\u4e3b\uff0c\u9664\u672c\u66f8\u5916\u53e6\u8457\u6709\u300aPrinciples of Quantum Mechanics\u300b\u53ca\u300aBasic Training in Mathematics\u300b\u3002 Shankar\u6559\u6388\u4e3b\u8b1b\u7684\u300a\u57fa\u790e\u7269\u7406\u300b\u56e0\u5176\u5e7d\u9ed8\u3001\u8a7c\u8ae7\u7684\u6388\u8ab2\u98a8\u683c\u548c\u6e05\u6670\u4e26\u5bcc\u6709\u908f\u8f2f\u7684\u8b1b\u89e3\u53d7\u5230\u5168\u4e16\u754c\u6578\u767e\u842c\u5e2b\u751f\u7684\u597d\u8a55\u3002<\/p>\n

\u76ee\u9304<\/span><\/strong><\/p>\n

\u4e2d\u6587\u7248\u5e8f<\/p>\n

\u8b6f\u8005\u7684\u8a71<\/p>\n

\u524d\u8a00<\/p>\n

\u7b2c1\u7ae0\u975c\u96fb\u5b78\u21601<\/p>\n

1.1\u56de\u9867F=ma1<\/p>\n

1.2\u8d70\u9032\u96fb\u5b783<\/p>\n

1.3\u5eab\u4f96\u5b9a\u5f8b6<\/p>\n

1.4\u96fb\u8377\u7684\u6027\u8cea7<\/p>\n

1.5\u5eab\u4f96\u5b9a\u5f8b\u7684\u9a57\u8b499<\/p>\n

1.6\u5f15\u529b\u8207\u96fb\u529b\u4e4b\u6bd411<\/p>\n

1.7\u5eab\u4f96\u5b9a\u5f8b\u5c0d\u9023\u7e8c\u5e36\u96fb\u9ad4\u7684\u61c9\u752812<\/p>\n

\u7b2c2\u7ae0\u96fb\u583414<\/p>\n

2.1\u91cd\u8981\u5167\u5bb9\u56de\u986714<\/p>\n

2.2\u96e2\u984c\u8aaa\u8aaa\u6838\u529b15<\/p>\n

2.3\u96fb\u5834E16<\/p>\n

2.4\u5834\u7684\u5716\u793a18<\/p>\n

2.5\u5076\u6975\u5b50\u7684\u583424<\/p>\n

2.6\u5c0d\u5834\u7684\u97ff\u61c927<\/p>\n

\u7b2c3\u7ae0\u9ad8\u65af\u5b9a\u7406\u216030<\/p>\n

3.1\u7121\u9650\u9577\u5e36\u96fb\u76f4\u7dda\u7684\u583430<\/p>\n

3.2\u7121\u9650\u5927\u5e36\u96fb\u5e73\u9762\u7684\u583434<\/p>\n

3.3\u7403\u5f62\u96fb\u8377\u5206\u4f48\uff1a\u9ad8\u65af\u5b9a\u740637<\/p>\n

3.4\u95dc\u65bc\u9762\u7a4d\u5143\u5411\u91cfdA\u7684\u63d2\u8a0038<\/p>\n

3.5\u5716\u8aaa\u9ad8\u65af\u5b9a\u740642<\/p>\n

\u7b2c4\u7ae0\u9ad8\u65af\u5b9a\u7406\u2161\uff1a\u61c9\u752847<\/p>\n

4.1\u9ad8\u65af\u5b9a\u7406\u7684\u61c9\u752847<\/p>\n

4.2\u7403\u6bbc\u5167\u90e8\u7684\u583450<\/p>\n

4.3\u7121\u9650\u9577\u5e36\u96fb\u76f4\u7dda\u7684\u5834\uff0c\u518d\u89e352<\/p>\n

4.4\u7121\u9650\u5927\u5e36\u96fb\u5e73\u9762\u7684\u5834\uff0c\u518d\u89e353<\/p>\n

4.5\u5c0e\u9ad454<\/p>\n

\u7b2c5\u7ae0\u5eab\u4f96\u52e259<\/p>\n

5.1\u4fdd\u5b88\u529b\u8207\u52e2\u80fd60<\/p>\n

5.2\u975c\u96fb\u5834\u662f\u4fdd\u5b88\u7684\u55ce\uff1f 64<\/p>\n

5.3\u5716\u89e3\u5834\u7684\u7dda\u7a4d\u5206\u4e0d\u4f9d\u8cf4\u65bc\u8def\u5f9166<\/p>\n

5.4\u5076\u6975\u5b50\u7684\u96fb\u5834\u548c\u96fb\u52e268<\/p>\n

\u7b2c6\u7ae0\u5c0e\u9ad4\u8207\u96fb\u5bb9\u566871<\/p>\n

6.1\u5229\u7528E\u8a08\u7b97V\u66f4\u7c21\u55ae\u7684\u4f8b\u5b5072<\/p>\n

6.2V\u7684\u5716\u793a73<\/p>\n

6.3\u7b49\u52e275<\/p>\n

6.4\u93e1\u50cf\u6cd576<\/p>\n

6.5\u96fb\u5bb9\u566882<\/p>\n

6.6\u5132\u5b58\u65bc\u96fb\u5bb9\u5668\u4e2d\u7684\u80fd\u91cf84<\/p>\n

6.7\u96fb\u8377\u7cfb\u7684\u80fd\u91cf84<\/p>\n

\u7b2c7\u7ae0\u96fb\u8def\u8207\u96fb\u6d4187<\/p>\n

7.1\u96fb\u5834\u7684\u80fd\u91cf87<\/p>\n

7.2\u96fb\u8def\u8207\u96fb\u5c0e\u738788<\/p>\n

7.3\u96fb\u8def92<\/p>\n

7.4\u96fb\u6c60\u8207\u96fb\u52d5\u52e2E95<\/p>\n

7.5\u6709\u96fb\u6e90\u7684RC\u56de\u8def98<\/p>\n

7.6\u4e32\u806f\u548c\u4e26\u806f\u96fb\u8def101<\/p>\n

\u7b2c8\u7ae0\u78c1\u5b78\u2160104<\/p>\n

8.1\u986f\u793a\u78c1\u73fe\u8c61\u7684\u5be6\u9a57104<\/p>\n

8.2\u6d1b\u502b\u8332\u529b\u8209\u4f8b\u8ff4\u65cb\u52a0\u901f\u5668107<\/p>\n

8.3\u8f09\u6d41\u5c0e\u7dda\u53d7\u5230\u7684\u78c1\u529b110<\/p>\n

8.4\u78c1\u77e9113<\/p>\n

8.5\u76f4\u6d41\u96fb\u6a5f114<\/p>\n

\u7b2c9\u7ae0\u78c1\u5b78\u2161\uff1a\u7562\u5967\ue011\u85a9\u4f10\u723e\u5b9a\u5f8b116<\/p>\n

9.1\u7562\u5967\ue011\u85a9\u4f10\u723e\u5b9a\u5f8b\u7684\u61c9\u7528\uff1a\u5713\u96fb\u6d41\u7684\u78c1\u5834117<\/p>\n

9.2\u689d\u5f62\u78c1\u9435\u7684\u5fae\u89c0\u63cf\u8ff0119<\/p>\n

9.3\u7121\u9650\u9577\u8f09\u6d41\u76f4\u5c0e\u7dda\u7684\u78c1\u5834121<\/p>\n

9.4\u5b89\u57f9\u74b0\u8def\u5b9a\u7406123<\/p>\n

9.5\u9ea5\u514b\u65af\u97cb\u65b9\u7a0b\u7d44\uff08\u975c\u614b\uff09127<\/p>\n

\u7b2c10\u7ae0\u5b89\u57f9\u74b0\u8def\u5b9a\u7406\u2161\u3001\u6cd5\u62c9\u7b2c\u5b9a\u5f8b\u548c\u695e\u6b21\u5b9a\u5f8b128<\/p>\n

10.1\u7121\u9650\u9577\u8f09\u6d41\u76f4\u5c0e\u7dda\u7684\u78c1\u5834\uff0c\u518d\u89e3128<\/p>\n

10.2\u901a\u96fb\u87ba\u7dda\u7ba1\u7684\u78c1\u5834131<\/p>\n

10.3\u6cd5\u62c9\u7b2c\u5b9a\u5f8b\u548c\u695e\u6b21\u5b9a\u5f8b134<\/p>\n

10.4\u6cd5\u62c9\u7b2c\u5b9a\u5f8b\u7684\u9078\u5b78\u5167\u5bb9142<\/p>\n

\u7b2c11\u7ae0\u6cd5\u62c9\u7b2c\u5b9a\u5f8b\u9032\u968e147<\/p>\n

11.1\u96fb\u5b50\u611f\u61c9\u52a0\u901f\u5668147<\/p>\n

11.2\u767c\u96fb\u6a5f150<\/p>\n

11.3\u96fb\u611f153<\/p>\n

11.4\u4e92\u611f154<\/p>\n

11.5\u81ea\u611f156<\/p>\n

11.6\u78c1\u5834\u7684\u80fd\u91cf158<\/p>\n

\u7b2c12\u7ae0AC\u96fb\u8def160<\/p>\n

12.1\u56de\u9867\u96fb\u611f\u5668160<\/p>\n

12.2LC\u96fb\u8def164<\/p>\n

12.3LCR\u96fb\u8def167<\/p>\n

12.4\u6b50\u59c6\u5b9a\u5f8b\u7684\u8907\u6578\u5f62\u5f0f173<\/p>\n

\u7b2c13\u7ae0LCR\u96fb\u8def\u548c\u4f4d\u79fb\u96fb\u6d41176<\/p>\n

13.1LCR\u7d50\u679c\u7684\u5206\u6790177<\/p>\n

13.2\u8907\u6578\u7684\u5a01\u529b182<\/p>\n

13.3\u4f4d\u79fb\u96fb\u6d41185<\/p>\n

\u7b2c14\u7ae0\u96fb\u78c1\u6ce2188<\/p>\n

14.1\u6ce2\u52d5\u65b9\u7a0b190<\/p>\n

14.2\u771f\u7a7a\u4e2d\u7279\u5b9a\u689d\u4ef6\u4e0b\u7684\u9ea5\u514b\u65af\u97cb\u65b9\u7a0b\u7d44193<\/p>\n

14.3\u6ce2196<\/p>\n

14.4\u6ce2\u52d5\u65b9\u7a0b\u7684\u6b63\u5f26\u89e3198<\/p>\n

14.5\u96fb\u78c1\u6ce2\u7684\u80fd\u91cf202<\/p>\n

14.6\u96fb\u78c1\u6ce2\u7684\u8d77\u6e90203<\/p>\n

14.7\u9ea5\u514b\u65af\u97cb\u65b9\u7a0b\u7d44\u2014\u2014\u4e00\u822c\u60c5\u51b5\uff08\u9078\u5b78\uff09204<\/p>\n

14.8\u5f9e\u5fae\u89c0\u5230\u5b8f\u89c0\uff08\u9078\u5b78\uff09209<\/p>\n

\u7b2c15\u7ae0\u96fb\u78c1\u5b78\u548c\u76f8\u5c0d\u8ad6214<\/p>\n

15.1\u5f9e\u5eab\u4f96\u5b9a\u5f8b\u548c\u76f8\u5c0d\u8ad6\u63a8\u51fa\u78c1\u5b78214<\/p>\n

15.2\u96fb\u52d5\u529b\u5b78\u7684\u76f8\u5c0d\u8ad6\u4e0d\u8b8a\u6027217<\/p>\n

15.3\u6d1b\u502b\u8332\u8b8a\u63db\u56de\u9867218<\/p>\n

15.4\u6a19\u91cf\u5834\u548c\u5411\u91cf\u5834221<\/p>\n

15.5\u5fae\u5206\u7b97\u7b26223<\/p>\n

15.6\u6d1b\u502b\u8332\u6a19\u91cf\u548c\u5411\u91cf225<\/p>\n

15.7\u56db\u7dad\u96fb\u6d41\u5bc6\u5ea6J226<\/p>\n

15.8\u56db\u7dad\u52e2A228<\/p>\n

15.9\u56db\u7dad\u5411\u91cfA\u7684\u6ce2\u52d5\u65b9\u7a0b231<\/p>\n

15.10\u96fb\u78c1\u5f35\u91cfF234<\/p>\n

\u7b2c16\u7ae0\u5149\u5b78\u2160\uff1a\u5e7e\u4f55\u5149\u5b78\u56de\u9867240<\/p>\n

16.1\u5e7e\u4f55\u5149\u5b78\uff08\u5149\u7dda\u5149\u5b78\uff09240<\/p>\n

16.2c\u7684\u7c21\u53f2241<\/p>\n

16.3\u5e7e\u4f55\u5149\u5b78\u7684\u82e5\u5e72\u4eae\u9ede243<\/p>\n

16.4\u5f9e\u8cbb\u99ac\u539f\u7406\u63a8\u5c0e\u53cd\u5c04\u5b9a\u5f8b244<\/p>\n

16.5\u5f9e\u8cbb\u99ac\u539f\u7406\u63a8\u5c0e\u65af\u6d85\u723e\u5b9a\u5f8b246<\/p>\n

16.6\u5f9e\u8cbb\u99ac\u539f\u7406\u63a8\u5c0e\u66f2\u9762\u4e0a\u7684\u53cd\u5c04247<\/p>\n

16.7\u6a62\u5713\u9762\u93e1\u548c\u8cbb\u99ac\u539f\u7406249<\/p>\n

16.8\u629b\u7269\u9762\u93e1251<\/p>\n

\u7b2c17\u7ae0\u5149\u5b78\u2161\uff1a\u66f4\u591a\u7684\u53cd\u5c04\u93e1\u548c\u900f\u93e1253<\/p>\n

17.1\u629b\u7269\u9762\u93e1\u7684\u7403\u5f62\u8fd1\u4f3c253<\/p>\n

17.2\u6210\u50cf\uff1a\u5e7e\u4f55\u5149\u5b78254<\/p>\n

17.3\u7531\u8cbb\u99ac\u539f\u7406\u6210\u50cf256<\/p>\n

17.4\u8907\u96dc\u60c5\u51b5259<\/p>\n

17.5\u5f9e\u8cbb\u99ac\u539f\u7406\u6c42\u89e3\u900f\u93e1262<\/p>\n

17.6\u6700\u5c0f\u4f5c\u7528\u91cf\u539f\u7406263<\/p>\n

17.7\u773c\u775b265<\/p>\n

\u7b2c18\u7ae0\u5149\u7684\u6ce2\u52d5\u7406\u8ad6268<\/p>\n

18.1\u6ce2\u7684\u5e72\u6d89270<\/p>\n

18.2\u61c9\u7528\u5be6\u6578\u9032\u884c\u6ce2\u7684\u758a\u52a0272<\/p>\n

18.3\u61c9\u7528\u8907\u6578\u9032\u884c\u6ce2\u7684\u758a\u52a0273<\/p>\n

18.4\u5e72\u6d89\u5206\u6790275<\/p>\n

18.5\u884d\u5c04\u5149\u6805279<\/p>\n

18.6\u55ae\u7e2b\u7e5e\u5c04281<\/p>\n

18.7\u7406\u89e3\u53cd\u5c04\u548c\u6676\u9ad4\u7e5e\u5c04282<\/p>\n

18.8\u5149\u5165\u5c04\u5230\u6cb9\u819c\u4e0a283<\/p>\n

\u7b2c19\u7ae0\u91cf\u5b50\u529b\u5b78\uff1a\u4e3b\u8981\u5be6\u9a57287<\/p>\n

19.1\u5149\u7684\u96d9\u7e2b\u5be6\u9a57287<\/p>\n

19.2\u9ea5\u514b\u65af\u97cb\u6240\u9047\u5230\u7684\u554f\u984c288<\/p>\n

19.3\u95dc\u65bc\u5149\u5b50\u7684\u984c\u5916\u8a71291<\/p>\n

19.4\u7269\u8cea\u6ce2293<\/p>\n

19.5\u5149\u5b50\u8207\u96fb\u5b50296<\/p>\n

19.6\u6d77\u68ee\u4f2f\u4e0d\u78ba\u5b9a\u95dc\u4fc2298<\/p>\n

19.7\u8b93\u554f\u984c\u8b8a\u6e05\u6670302<\/p>\n

19.8\u6ce2\u51fd\u6578 \u03c8 306<\/p>\n

19.9\u6ce2\u51fd\u6578\u584c\u7e2e308<\/p>\n

19.10\u7e3d\u7d50308<\/p>\n

\u7b2c20\u7ae0\u6ce2\u51fd\u6578\u53ca\u5176\u8a6e\u91cb311<\/p>\n

20.1\u7d93\u5178\u529b\u5b78\u8207\u91cf\u5b50\u529b\u5b78\u4e2d\u7684\u6982\u7387313<\/p>\n

20.2\u77ad\u89e3 \u03c8 317<\/p>\n

20.3\u7d71\u8a08\u5b78\u6982\u5ff5\uff1a\u5e73\u5747\u503c\u548c\u4e0d\u78ba\u5b9a\u6027320<\/p>\n

\u7b2c21\u7ae0\u91cf\u5b50\u5316\u8207\u91cf\u6e2c323<\/p>\n

21.1\u52d5\u91cf\u614b324<\/p>\n

21.2\u52d5\u91cf\u7684\u55ae\u503c\u6027\u548c\u91cf\u5b50\u5316325<\/p>\n

21.3\u91cf\u6e2c\u5047\u8a2d\uff1a\u52d5\u91cf329<\/p>\n

21.4\u901a\u904e\u8a08\u7b97\u6c42\u5f97A\uff08p\uff09337<\/p>\n

21.5\u5085\u7acb\u8449\u5b9a\u7406341<\/p>\n

21.6\u91cf\u6e2c\u5047\u8a2d\uff1a\u4e00\u822c\u60c5\u51b5345<\/p>\n

21.7\u591a\u500b\u8b8a\u6578345<\/p>\n

\u7b2c22\u7ae0\u80fd\u91cf\u5b9a\u614b347<\/p>\n

22.1\u74b0\u4e0a\u7684\u81ea\u7531\u7c92\u5b50350<\/p>\n

22.2\u52e2\u7bb1\u554f\u984c355<\/p>\n

22.3\u52e2\u7bb1\u4e2d\u7684\u80fd\u91cf\u91cf\u6e2c365<\/p>\n

\u7b2c23\u7ae0\u6563\u5c04\u548c\u52d5\u529b\u5b78367<\/p>\n

23.1\u91cf\u5b50\u6563\u5c04367<\/p>\n

23.2\u96a7\u7a7f\u6548\u61c9372<\/p>\n

23.3\u91cf\u5b50\u52d5\u529b\u5b78373<\/p>\n

23.4\u76f4\u7a4d\u89e3\u7684\u7279\u6027377<\/p>\n

23.5\u6642\u9593\u6f14\u5316\u7684\u901a\u89e3379<\/p>\n

\u7b2c24\u7ae0\u7e3d\u7d50\u8207\u5c55\u671b385<\/p>\n

24.1\u5047\u8a2d\uff1a\u7b2c\u4e00\u6b65385<\/p>\n

24.2\u6539\u9032\u5047\u8a2d387<\/p>\n

24.3\u5047\u8a2d\uff1a\u6700\u7d42\u5f62\u5f0f394<\/p>\n

24.4\u591a\u7c92\u5b50\u60c5\u5f62\uff1a\u73bb\u8272\u5b50\u8207\u8cbb\u7c73\u5b50395<\/p>\n

24.5\u80fd\u91cf\u6642\u9593\u7684\u4e0d\u78ba\u5b9a\u95dc\u4fc2402<\/p>\n

24.6\u4e0b\u4e00\u6b65\uff1f 407<\/p>\n

\u66f8\u6458\u63d2\u756b<\/span><\/strong><\/p>\n

\"1665473046852615.jpg\"\"1665473052745103.jpg\"\/\"1665473052871585.jpg\"\/\"1665473052435385.jpg\"\/<\/p>\n

————————————————————————-<\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/p>\n

\u3010\u57fa\u790e\u7269\u7406\u2161\u96fb\u78c1\u5b78\u3001\u5149\u5b78\u548c\u91cf\u5b50\u529b\u5b78\u3011<\/span><\/strong><\/span><\/strong><\/p>\n

\u5167\u5bb9\u7c21\u4ecb<\/span><\/strong><\/p>\n

\u300a\u57fa\u790e\u7269\u7406\u300b\u517124\u7ae0\uff0c\u5305\u62ec\u529b\u5b78\u3001\u76f8\u5c0d\u8ad6\u3001\u632f\u52d5\u8207\u6ce2\u52d5\u3001\u6d41\u9ad4\u3001\u71b1\u529b\u5b78\u7b49\u5167\u5bb9\uff0c\u5176\u59ca\u59b9\u7bc7\u300a\u57fa\u790e\u7269\u7406\u2161\u300b\uff08\u4e2d\u8b6f\u672c\u5c07\u65bc2018\u5e74\u51fa\u7248\uff09\u6d89\u53ca\u96fb\u78c1\u5b78\u3001\u5149\u5b78\u3001\u91cf\u5b50\u529b\u5b78\u7b49\u3002 \u5728\u66f8\u4e2d\uff0cR. Shankar\uff0c\u7684\u7269\u7406\u5b78\u5bb6\u548c\u5bcc\u65bc\u611f\u67d3\u529b\u7684\u71b1\u5fc3\u6559\u80b2\u5bb6\uff0c\u7c21\u660e\u627c\u8981\u5730\u8b1b\u8ff0\u4e86\u7269\u7406\u5b78\u7684\u57fa\u672c\u6982\u5ff5\u3002 \u9019\u4e00\u5de5\u4f5c\u70ba\u7406\u5de5\u79d1\u5c08\u696d\u7684\u5927\u5b78\u751f\uff0c\u70ba\u7a4d\u6975\u5b78\u7fd2\u7269\u7406\u5148\u4fee\u8ab2\u7684\u9ad8\u4e2d\u751f\uff0c\u70ba\u5c0d\u79d1\u5b78\u9032\u5c55\u611f\u8208\u8da3\u7684\u8b80\u8005\u63d0\u4f9b\u4e86\u7406\u60f3\u7684\u5165\u9580\u6559\u6750\u3002 \u672c\u66f8\u53ef\u4f5c\u70ba\u9ad8\u7b49\u5b78\u6821\u7406\u5de5\u79d1\u5c08\u696d\u5b78\u751f\u7684\u6559\u6750\u6216\u53c3\u8003\u66f8\uff0c\u4e5f\u9069\u7528\u65bc\u7684\u9ad8\u4e2d\u751f\u53ca\u81ea\u5b78\u4eba\u54e1\u3002<\/p>\n

\u4f5c\u8005\u7c21\u4ecb<\/span><\/strong><\/p>\n

R. Shankar\uff0c\u8036\u9b6f\u5927\u5b78\u7d04\u7ff0\u00b7\u502b\u9053\u592b\u00b7\u970d\u592b\u66fc\u7269\u7406\u5b78\u6559\u6388\uff0c\u7f8e\u570b\u85dd\u8853\u8207\u79d1\u5b78\u9662\u9662\u58eb\uff0c2009\u5e74\u7f8e\u570b\u7269\u7406\u5b78\u6703\u5229\u6797\u83f2\u723e\u5fb7\u734e\u5f97\u4e3b\uff0c\u9664\u672c\u66f8\u5916\u53e6\u8457\u6709\u300aPrinciples of Quantum Mechanics\u300b\u53ca\u300aBasic Training in Mathematics\u300b\u3002 Shankar\u6559\u6388\u4e3b\u8b1b\u7684\u300a\u57fa\u790e\u7269\u7406\u300b\u56e0\u5176\u5e7d\u9ed8\u3001\u8a7c\u8ae7\u7684\u6388\u8ab2\u98a8\u683c\u548c\u6e05\u6670\u4e26\u5bcc\u6709\u908f\u8f2f\u7684\u8b1b\u89e3\u53d7\u5230\u5168\u4e16\u754c\u6578\u767e\u842c\u5e2b\u751f\u7684\u597d\u8a55\u3002<\/p>\n

\u76ee\u9304<\/span><\/strong><\/p>\n

\u4e2d\u6587\u7248\u5e8f<\/p>\n

\u8b6f\u8005\u7684\u8a71<\/p>\n

\u524d\u8a00<\/p>\n

\u7b2c1\u7ae0\u529b\u5b78\u7684\u9ad4\u7cfb1<\/p>\n

1. 1\u7dd2\u8ad6\u4ee5\u53ca\u6709\u76ca\u7684\u5efa\u8b701<\/p>\n

1. 2\u904b\u52d5\u5b78\u8207\u52d5\u529b\u5b782<\/p>\n

1. 3\u5e73\u5747\u91cf\u8207\u66ab\u614b\u91cf3<\/p>\n

1. 4\u52fb\u52a0\u901f\u904b\u52d55<\/p>\n

1. 5\u4f8b\u984c7<\/p>\n

1. 6\u904b\u7528\u5fae\u7a4d\u5206\u63a8\u5c0ev2\uff1dv20<\/p>\n

\uff0b2a\uff08x\uff0dx0\uff099<\/p>\n

\u7b2c2\u7ae0\u9ad8\u7dad\u7a7a\u9593\u4e2d\u7684\u904b\u52d511<\/p>\n

2. 1\u56de\u986711<\/p>\n

2. 2\u4e8c\u7dad\u7a7a\u9593\u4e2d\u7684\u5411\u91cf11<\/p>\n

2. 3\u7d44\u7e54\u5411\u91cf14<\/p>\n

2. 4\u5750\u6a19\u8ef8\u7684\u9078\u64c7\u8207\u57fa\u77e215<\/p>\n

2. 5\u4f4d\u7f6e\u5411\u91cfr\u7684\u5c0e\u657818<\/p>\n

2. 6\u5728\u5713\u5468\u904b\u52d5\u4e2d\u7684\u61c9\u752820<\/p>\n

2. 7\u62cb\u9ad4\u904b\u52d522<\/p>\n

\u7b2c3\u7ae0\u725b\u9813\u904b\u52d5\u5b9a\u5f8b\u216026<\/p>\n

3. 1\u725b\u9813\u904b\u52d5\u5b9a\u5f8b\u6982\u8ff026<\/p>\n

3. 2\u725b\u9813\u7b2c\u4e8c\u5b9a\u5f8b27<\/p>\n

3. 3\u7b2c\u4e8c\u5b9a\u5f8b\u7684\u5169\u500b\u90e8\u520630<\/p>\n

3. 4\u725b\u9813\u7b2c\u4e09\u5b9a\u5f8b33<\/p>\n

3. 5\u91cd\u91cf\u8207\u5931\u91cd35<\/p>\n

\u7b2c4\u7ae0\u725b\u9813\u904b\u52d5\u5b9a\u5f8b\u216138<\/p>\n

4. 1\u4e00\u9053\u89e3\u904e\u7684\u4f8b\u984c38<\/p>\n

4. 2\u6545\u4e8b\u7d55\u672a\u5c31\u6b64\u7d50\u675f40<\/p>\n

4. 3\u4e8c\u7dad\u7a7a\u9593\uff08d\uff1d2\uff09\u4e2d\u7684\u904b\u52d540<\/p>\n

4. 4\u975c\u6469\u64e6\u529b\u8207\u52d5\u6469\u64e6\u529b41<\/p>\n

4. 5\u659c\u976242<\/p>\n

4. 6\u9023\u63a5\u9ad445<\/p>\n

4. 7\u5713\u5468\u904b\u52d5\u8f49\u570847<\/p>\n

\u7b2c5\u7ae0\u80fd\u91cf\u5b88\u6052\u5b9a\u5f8b51<\/p>\n

5. 1\u80fd\u91cf\u6982\u8ad651<\/p>\n

5. 2\u52d5\u80fd\u5b9a\u7406\u8207\u529f\u738752<\/p>\n

5. 3\u80fd\u91cf\u5b88\u6052\u5b9a\u5f8b\uff1aK2\uff0bU2\uff1dK1\uff0bU154<\/p>\n

5. 4\u6469\u64e6\u8207\u52d5\u80fd\u5b9a\u740657<\/p>\n

\u7b2c6\u7ae0\u4e8c\u7dad\u7a7a\u9593\uff08d\uff1d2\uff09\u7684\u80fd\u91cf\u5b88\u605259<\/p>\n

6. 1\u5fae\u7a4d\u5206\u8907\u7fd259<\/p>\n

6. 2\u4e8c\u7dad\u7a7a\u9593\uff08d\uff1d2\uff09\u7684\u529f60<\/p>\n

6. 3\u4e8c\u7dad\u7a7a\u9593\uff08d\uff1d2\uff09\u7684\u529f\u8207\u9ede\u7a4d62<\/p>\n

6. 4\u4fdd\u5b88\u529b\u8207\u975e\u4fdd\u5b88\u529b65<\/p>\n

6. 5\u4fdd\u5b88\u529b67<\/p>\n

6. 6\u5f15\u529b\u52e2\u80fd\u7684\u61c9\u752869<\/p>\n

\u7b2c7\u7ae0\u958b\u666e\u52d2\u554f\u984c72<\/p>\n

7. 1\u958b\u666e\u52d2\u5b9a\u5f8b72<\/p>\n

7. 2\u842c\u6709\u5f15\u529b\u5b9a\u5f8b74<\/p>\n

7. 3\u8ecc\u905377<\/p>\n

7. 4\u9060\u96e2\u5730\u7403\u689d\u4ef6\u4e0b\u80fd\u91cf\u5b88\u6052\u5b9a\u5f8b\u7684\u61c9\u752880<\/p>\n

7. 5U\u4e2d\u7684\u5e38\u657882<\/p>\n

\u7b2c8\u7ae0\u591a\u7c92\u5b50\u9ad4\u7cfb\u52d5\u529b\u5b7885<\/p>\n

8. 1\u5169\u9ad4\u554f\u984c85<\/p>\n

8. 2\u8cea\u5fc386<\/p>\n

8. 3\u52d5\u91cf\u5b88\u6046\u5b9a\u5f8b92<\/p>\n

8. 4\u706b\u7bad\u5b7896<\/p>\n

8. 5\u5f48\u6027\u78b0\u649e\u548c\u975e\u5f48\u6027\u78b0\u649e97<\/p>\n

8. 6\u66f4\u9ad8\u7dad\u5ea6\u7684\u6563\u5c04100<\/p>\n

\u7b2c9\u7ae0\u8f49\u52d5\u52d5\u529b\u5b78\u2160103<\/p>\n

9. 1\u525b\u9ad4\u7c21\u4ecb103<\/p>\n

9. 2\u8f49\u89d2\u5f27\u5ea6104<\/p>\n

9. 3\u52fb\u89d2\u52a0\u901f\u8f49\u52d5105<\/p>\n

9. 4\u8f49\u52d5\u6163\u91cf\u3001\u52d5\u91cf\u548c\u80fd\u91cf106<\/p>\n

9. 5\u529b\u77e9\u8207\u52d5\u80fd\u5b9a\u7406110<\/p>\n

9. 6\u8f49\u52d5\u6163\u91cf\u7684\u8a08\u7b97111<\/p>\n

\u7b2c10\u7ae0\u8f49\u52d5\u52d5\u529b\u5b78\u2161114<\/p>\n

\u2169<\/p>\n

10. 1\u5e73\u884c\u8ef8\u5b9a\u7406114<\/p>\n

10. 2\u7531N\u500b\u7269\u9ad4\u7d44\u6210\u7684\u4e00\u822c\u7cfb\u7d71\u7684\u52d5\u80fd117<\/p>\n

10. 3\u540c\u6642\u505a\u5e73\u52d5\u548c\u8f49\u52d5118<\/p>\n

10. 4\u80fd\u91cf\u5b88\u6052119<\/p>\n

10. 5 \u03c4\uff1d dL<\/p>\n

dt\u7684\u52d5\u529b\u5b78\u61c9\u7528120<\/p>\n

10. 6\u8907\u96dc\u8f49\u52d5121<\/p>\n

10. 7\u89d2\u52d5\u91cf\u5b88\u6052122<\/p>\n

10. 8\u82b1\u6a23\u6ed1\u51b0\u904b\u52d5\u54e1\u7684\u89d2\u52d5\u91cf123<\/p>\n

\u7b2c11\u7ae0\u8f49\u52d5\u52d5\u529b\u5b78\u2162125<\/p>\n

11. 1\u975c\u5e73\u8861125<\/p>\n

11. 2\u8e7a\u8e7a\u677f125<\/p>\n

11. 3\u61f8\u639b\u6307\u793a\u724c127<\/p>\n

11. 4\u9760\u7246\u7684\u68af\u5b50128<\/p>\n

11. 5\u4e09\u7dad\u525b\u9ad4\u52d5\u529b\u5b78129<\/p>\n

11. 6\u56de\u8f49\u5100135<\/p>\n

\u7b2c12\u7ae0\u72f9\u7fa9\u76f8\u5c0d\u8ad6\u2160\uff1a\u6d1b\u502b\u8332\u8b8a\u63db138<\/p>\n

12. 1\u4f3d\u5229\u7565\u548c\u725b\u9813\u7684\u76f8\u5c0d\u6027138<\/p>\n

12. 2\u4f3d\u5229\u7565\u76f8\u5c0d\u6027\u539f\u7406\u7684\u8b49\u660e140<\/p>\n

12. 3\u611b\u56e0\u65af\u5766\u767b\u5834143<\/p>\n

12. 4\u5047\u8a2d144<\/p>\n

12. 5\u6d1b\u502b\u8332\u8b8a\u63db145<\/p>\n

\u7b2c13\u7ae0\u72f9\u7fa9\u76f8\u5c0d\u8ad6\u2161\uff1a\u4e00\u4e9b\u63a8\u8ad6149<\/p>\n

13. 1\u6d1b\u502b\u8332\u8b8a\u63db\u7e3d\u7d50149<\/p>\n

13. 2\u901f\u5ea6\u8b8a\u63db\u5b9a\u5f8b151<\/p>\n

13. 3\u540c\u6642\u7684\u76f8\u5c0d\u6027153<\/p>\n

13. 4\u6642\u9593\u81a8\u8139154<\/p>\n

13. 4. 1\u96d9\u751f\u5b50\u4f6f\u8b2c157<\/p>\n

13. 4. 2\u9577\u5ea6\u6536\u7e2e157<\/p>\n

13. 5\u66f4\u591a\u4f6f\u8b2c159<\/p>\n

13. 5. 1\u592a\u9577\u4e86\u7121\u6cd5\u4e0b\u843d159<\/p>\n

13. 5. 2\u98db\u884c\u7684 \u03bc  \u4ecb\u5b50162<\/p>\n

\u7b2c14\u7ae0\u72f9\u7fa9\u76f8\u5c0d\u8ad6\u2162\uff1a\u904e\u53bb\u3001\u73fe\u5728\u548c\u672a\u4f86163<\/p>\n

14. 1\u76f8\u5c0d\u8ad6\u4e2d\u7684\u904e\u53bb\u3001\u73fe\u5728\u548c\u672a\u4f86163<\/p>\n

14. 2\u6642\u7a7a\u5e7e\u4f55166<\/p>\n

14. 3\u8fc5\u5ea6168<\/p>\n

\u216a<\/p>\n

14. 4\u56db\u7dad\u5411\u91cf171<\/p>\n

14. 5\u539f\u6642171<\/p>\n

\u7b2c15\u7ae0\u56db\u7dad\u52d5\u91cf173<\/p>\n

15. 1\u76f8\u5c0d\u8ad6\u6563\u5c04178<\/p>\n

15. 1. 1\u5eb7\u666e\u9813\u6548\u61c9179<\/p>\n

15. 1. 2\u5c0d\u751f180<\/p>\n

15. 1. 3\u5149\u5b50\u5438\u6536181<\/p>\n

\u7b2c16\u7ae0\u6578\u5b78\u65b9\u6cd5184<\/p>\n

16. 1\u51fd\u6578\u7684\u6cf0\u52d2\u7d1a\u6578184<\/p>\n

16. 2\u95dc\u65bc\u6cf0\u52d2\u7d1a\u6578\u7684\u8209\u4f8b\u8aaa\u660e188<\/p>\n

16. 3\u4e00\u4e9b\u5e38\u7528\u51fd\u6578\u7684\u6cf0\u52d2\u7d1a\u6578189<\/p>\n

16. 4\u4e09\u89d2\u51fd\u6578\u548c\u6307\u6578\u51fd\u6578191<\/p>\n

16. 5\u8907\u6578\u7684\u6027\u8cea192<\/p>\n

16. 6\u8907\u6578\u7684\u6975\u5ea7\u6a19\u8868\u793a195<\/p>\n

\u7b2c17\u7ae0\u7c21\u8ae7\u904b\u52d5197<\/p>\n

17. 1\u66f4\u591a\u632f\u52d5\u7684\u4f8b\u5b50200<\/p>\n

17. 2\u89e3\u7684\u758a\u52a0202<\/p>\n

17. 3\u7c21\u8ae7\u632f\u5b50\u89e3\u7684\u689d\u4ef6205<\/p>\n

17. 4\u7528\u6307\u6578\u51fd\u6578\u4f5c\u70ba\u901a\u89e3206<\/p>\n

17. 5\u963b\u5c3c\u632f\u52d5\uff1a\u5206\u985e207<\/p>\n

17. 5. 1\u904e\u963b\u5c3c\u632f\u52d5207<\/p>\n

17. 5. 2\u6b20\u963b\u5c3c\u632f\u52d520<\/p>\n

<\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong>
<\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/p>\n

<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

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