DellAntonio mathematics of quantum mechanics II

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DellAntonio mathematics of quantum mechanics II

Gianfausto Dell*AntonioLectures on the Mathematics ofQuantum MechanicsVolume II: Selected Topics42417Mat hematical Department, Univeisita’ Sapienza (B

DellAntonio mathematics of quantum mechanics II Borne) Mathematics Area, ISAS (Trieste)2A Caterina. Fiannnetta, Shnoncttaít ne Ịaut jmf) toujours tellnncnf. epuiser tin fiujct q 'on ne laissc Tien a

fair an le.ctenr.Il nc 8 'aqii pas de fair tire, mais de faire penscrCharles de Secondat, Baron de MontesquieuContents1Lecture 1.Wigner functions. Co DellAntonio mathematics of quantum mechanics II

herent states. Gabor transform..Senticlassical correlation functions .......................... II1.1Coherent states..................................

DellAntonio mathematics of quantum mechanics II

.......... 151.2IltLsimi distribution...................................... 171.3Semiclassical limit using Wigner functions................. 211.4Gabo

Gianfausto Dell*AntonioLectures on the Mathematics ofQuantum MechanicsVolume II: Selected Topics42417Mat hematical Department, Univeisita’ Sapienza (B

DellAntonio mathematics of quantum mechanics II g coherent states.................. 261.7Convergence of quantum solutions to classicalsolutions ... 291.8References for Lecture 1.....................

.............. 312Lecture 2Pseudiffcrcntial operators . Berezin. Kohn-Nirenberg.Born-Jordan quantizations....................................... 352.1 DellAntonio mathematics of quantum mechanics II

Weyl symbols............................................... 362.2Pseudodiffcrcntial operators .............................. 362.3Calderon - Vaillantc

DellAntonio mathematics of quantum mechanics II

oml llieorem........................... 392.1Classes of Pseudodifferential operators.Regularity properties.. II2.5Product of Operator versus products

Gianfausto Dell*AntonioLectures on the Mathematics ofQuantum MechanicsVolume II: Selected Topics42417Mat hematical Department, Univeisita’ Sapienza (B

DellAntonio mathematics of quantum mechanics II ization....................................... 512.8Toeplitz operators......................................... 532.9Kohn-Nirenberg Quantization......

.......................... 54 DellAntonio mathematics of quantum mechanics II

Gianfausto Dell*AntonioLectures on the Mathematics ofQuantum MechanicsVolume II: Selected Topics42417Mat hematical Department, Univeisita’ Sapienza (B