Nestatsionarnye Zadachi Kvantovoy I Klassicheskoy Mekhaniki

Sushchestvuyushchie v nastoyashchee vremya problemy, svyazannye s teoreticheskim opisaniem eksperimental'nykh dannykh,trebuyut, kak pravilo, chislennykh raschetov bol'shogo ob"ema. V svyazi s etim predstavlyaet interes postanovka prostykh model'nykh zadach, pozvolyayushchikh dat' analiticheskoe opisanie kakoy libo odnoy, naibolee vazhnoy storone yavleniya. V dannoy rabote izlozheny resheniya ryada netrivial'nykh nestatsionarnykh zadach i svyazannye s nimi problemy. V pervoy glave rassmotreny zadachi o tochechnykh potentsialakh, kharakterizuemykh lineyno izmenyayushchimsya so vremenem rasstoyaniem. Predlozhena integral'naya model' tochechnogo potentsiala i izucheny sostoyaniya sfericheskoy del'ta-obolochki. Vo vtoroy glave issledovany samosoglasovannye nestatsionarnye resheniya dlya sistem zaryazhennykh chastits, opisyvaemykh model'nym gamil'tonianom, yavno zavisyashchim ot vremeni. Pri etom rassmotreny kak klassicheskaya, tak i kvantovaya zadachi. Dlya nauchnykh rabotnikov, aspirantov i studentov, spetsializiruyushchikhsya v oblasti teoreticheskoy i matematicheskoy fiziki.