A hyperquantization formalism is presented which employs an occupation-number representation for the set of all Feynman amplitudes. The relation between the amplitudes and the occupation number representation is quite similar to that between the Fock amplitudes and the occupation number representation commonly used in the theory of quantized fields. The differential equations for the Feynman amplitudes can be written and manipulated in a more compact form in this representation. Formal solutions of these equations are given and the connection with the -matrix formalism is discussed.
- Received 7 May 1954
- Published in the issue dated September 1954
© 1954 The American Physical Society