Add to ORKGIn introducing second quantization for fermions, Jordan and Wigner (1927/1928) observed that the algebra of a single pair of fermion creation and annihilation operators in quantum mechanics is closely related to the algebra of quaternions H. For the first time, here we exploit this fact to study nonlinear Bogolyubov-Valatin transformations (canonical transformations for fermions) for a single fermionic mode. By means of these transformations, a class of fermionic Hamiltonians in an external field is related to the standard Fermi oscillator
Starting from independent sets of one-dimensional ''bosonic'' and ''fermionic'' operators, we build ...
A new kind of quantum mechanics using inner products, matrix elements, and coefficients assuming val...
We find a unitary operator which asymptotically diagonalizes the Tomonaga-Luttinger Hamiltonian of o...
In introducing second quantization for fermions, Jordan and Wigner (1927, 1928) observed that the al...
We show the use of the theory of Lie algebras, especially their oscillator realizations, in the cont...
We apply generalized Bogoliubov transformations to the transfer matrix of relativistic field theorie...
A comprehensive analysis of a scheme for the study of strongly correlated electron systems is presen...
The canonical quantization of non-linear Lagrangians is discussed. When one can find a Cartesian coo...
In a basis of the space-time coordinate frame four quaternions discovered by Hamilton can be used. F...
The aim of this paper is to give a self-contained and unified presentation of a fermionic coherent s...
The aim of this paper is to give a self-contained and unified presentation of a fermionic coherent s...
Operators, refered to as k-fermion operators, that interpolate between boson and fermion operators a...
It is shown that the measurement algebra of Schwinger, a characterization of the properties of Pauli...
We analyze quantum quenches in integrable models and in particular the determination of the initial ...
In this thesis some new ideas to perform the analysis of Strongly Correlated Electronic Systems (SCE...
Starting from independent sets of one-dimensional ''bosonic'' and ''fermionic'' operators, we build ...
A new kind of quantum mechanics using inner products, matrix elements, and coefficients assuming val...
We find a unitary operator which asymptotically diagonalizes the Tomonaga-Luttinger Hamiltonian of o...
In introducing second quantization for fermions, Jordan and Wigner (1927, 1928) observed that the al...
We show the use of the theory of Lie algebras, especially their oscillator realizations, in the cont...
We apply generalized Bogoliubov transformations to the transfer matrix of relativistic field theorie...
A comprehensive analysis of a scheme for the study of strongly correlated electron systems is presen...
The canonical quantization of non-linear Lagrangians is discussed. When one can find a Cartesian coo...
In a basis of the space-time coordinate frame four quaternions discovered by Hamilton can be used. F...
The aim of this paper is to give a self-contained and unified presentation of a fermionic coherent s...
The aim of this paper is to give a self-contained and unified presentation of a fermionic coherent s...
Operators, refered to as k-fermion operators, that interpolate between boson and fermion operators a...
It is shown that the measurement algebra of Schwinger, a characterization of the properties of Pauli...
We analyze quantum quenches in integrable models and in particular the determination of the initial ...
In this thesis some new ideas to perform the analysis of Strongly Correlated Electronic Systems (SCE...
Starting from independent sets of one-dimensional ''bosonic'' and ''fermionic'' operators, we build ...
A new kind of quantum mechanics using inner products, matrix elements, and coefficients assuming val...
We find a unitary operator which asymptotically diagonalizes the Tomonaga-Luttinger Hamiltonian of o...