Celebratio Mathematica

Albert S. Schwarz

My life in science

Works connected to Yu. S. Tyupkin

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V. N. Likhachev, Yu. S. Ty­up­kin, and A. S. Shvarts: “Adia­baticheskaq teor­ema v kvanto­voy teorii polq” [Adia­bat­ic the­or­em in quantum field the­ory], Teor. Mat. Fiz. 10 : 1 (1972), pp. 63–​84. An Eng­lish trans­la­tion was pub­lished in The­or­et. and Math. Phys. 10:1 (1972). MR 475468 article

J. S. Tjup­kin, V. A. Fateev, and A. S. Švarc: “O klas­sicheskom predele mat­ricj rasseq­niq v kvanto­voy teorii polq” [The clas­sic­al lim­it of the scat­ter­ing mat­rix in quantum field the­ory], Dokl. Akad. Nauk SSSR 221 : 1 (1975), pp. 70–​73. MR 378641 article

Yu. S. Ty­up­kin, V. A. Fateev, and A. S. Shvarts: “Con­nec­tion between particle-like solu­tions of clas­sic­al equa­tions and quantum particles,” So­viet J. Nuc­le­ar Phys. 22 : 3 (1975), pp. 321–​325. Eng­lish trans­la­tion of Rus­si­an ori­gin­al pub­lished in Jadernaja Fiz. 22:3 (1975). MR 406170 article

A. A. Be­lav­in, A. M. Polyakov, A. S. Schwartz, and Yu. S. Ty­up­kin: “Pseudo­particle solu­tions of the Yang–Mills equa­tions,” Phys. Lett. B 59 : 1 (1975), pp. 85–​87. MR 434183 article

A. Schwarz, V. Fateev, and Yu. Ty­up­kin: To­po­lo­gic­ally non-trivi­al particles in quantum field the­ory. Tech­nic­al re­port 157, Lebedev In­sti­tute, 1975. In Rus­si­an. techreport

A. S. Schwarz, Yu. Ty­up­kin, and V. Fateev: “On to­po­lo­gic­ally non-trivi­al particles in quantum field the­ory,” Pisma Zh. Èksper. Teor­et. Fiz. 22 (1975), pp. 192–​194. In Rus­si­an; trans­lated in­to Eng­lish in JETP Let­ters 22:3 (1975), 88–89. article

A. S. Schwarz, Yu. Ty­up­kin, and V. Fateev: “On the ex­ist­ence of heavy particles in gauge fields the­or­ies,” Pisma Zh. Èksper. Teor­et. Fiz. 21 (1975), pp. 91–​93. In Rus­si­an. article

J. S. Tjup­kin, V. A. Fateev, and A. S. Švarc: “CHasti­ce­podob­n­je reshe­niq uravn­en­iy kal­ib­ro­voch­njx teor­iy polq” [Particle-like solu­tions of the equa­tions of gauge the­or­ies], Teor. Mat. Fiz. 26 : 3 (1976), pp. 397–​402. An Eng­lish trans­la­tion was pub­lished in The­or­et. and Math. Phys. 26:3 (1976). MR 449236 article

A. Schwarz, V. Fateev, and Yu. Ty­up­kin: On the particle-like solu­tions in the pres­ence of fer­mi­ons. Tech­nic­al re­port 155, Lebedev In­sti­tute, 1976. In Rus­si­an. techreport

V. A. Fateev, I. V. Fro­lov, A. S. Schwarz, and Yu. S. Ty­up­kin: “Quantum fluc­tu­ations of in­stan­tons,” Sov. Sci. Rev., Sect. C 2 (1981), pp. 1–​51. MR 659266 Zbl 0535.​58026 article

A. S. Schwarz and Yu. S. Ty­up­kin: “Grand uni­fic­a­tion, strings, and mir­ror particles,” pp. 279–​289 in Group the­or­et­ic­al meth­ods in phys­ics (Zvenig­orod, USSR, 24–26 Novem­ber 1982), vol. 2. Edi­ted by M. A. Markov, V. I. Man’ko, and A. E. Shabad. Har­wood Aca­dem­ic (Chur, Switzer­land), 1985. MR 989351 incollection

A. S. Schwarz and Yu. S. Ty­up­kin: “Meas­ure­ment the­ory and the Schrödinger equa­tion,” pp. 667–​675 in Quantum field the­ory and quantum stat­ist­ics: Es­says in hon­our of the six­tieth birth­day of E. S. Fradkin, vol. 1. Edi­ted by I. A. Batal­in, C. J. Isham, and G. A. Vilko­visky. Hil­ger (Bris­tol, UK), 1987. MR 943165 incollection