Bosonization Method for Second Super Quantization

Bosonization method for second super quantization

A bosonic-fermionic correspondence allows an analytic definition of functional super derivative, in particular, and a bosonic functional calculus, in general, on BargmannGelfand triples for the second super quantization. A Feynman integral for the super transformation matrix elements in terms of bosonic anti-normal Berezin symbols is rigorously constructed. Mathematics Subject Classification 20...

Second-Quantization Formalism for Geminals

A method of constructing second-quantization formalism on a set of orthonormal geminals (two-particle antisymmetric functions) is described. Instead of using an initial set of creation and annihilation operators with nontrivial commutation rules, the so-. -called ideal creation and annihilation operators, satisfying elementary Bose commutation rules, are used. The resulting Hamiltonian and an a...

Induced Second Quantization

The notion of induced second quantization is introduced as an unavoidable aspect of the induction procedure for metric and spinor connection, which is the key element of TGD. Induced second quantization provides insights about the QFT limit, about generalizes Feynman diagrammatics, and about TGD counterpart of second quantization of strings which appear in TGD as emergent objects. Zero energy o...

Introduction to Second Quantization

Second Quantization Formalism

Quantum chemists we are seldom concern with phenomena involving variations in the number of particles, so they do not need to resort to quantum field theories to lay the foundations of their work (one exception are certain spectroscopic phenomena with require a quantum description of electromagnetic radiation). The standard quantum mechanic theory for material particles is then a sufficient bas...