Exponentiability of quadratic Hamiltonians.
DOI10.1016/S0034-4877(03)90011-5zbMath1049.81038MaRDI QIDQ595950
Ole Rask, Erik Bjerrum Nielsen
Publication date: 6 August 2004
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Hilbert spacemetaplectic representationspin representationboson Fock spacecreation operatorsfermion Fock spacequadratic Hamiltonians
Applications of operator theory in the physical sciences (47N50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
Cites Work
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- Lowest weight representations of some infinite dimensional groups on Fock spaces
- On fermionic gauge groups, current algebras and Kac-Moody algebras
- Bose algebras: the complex and real wave representations
- On exponentials of quadratic expressions of field operators in connection with representation of infinite dimensional Lie groups and algebras
- A semigroup of operators in the boson Fock space
- Ultracoherence in Bose algebras
- Harmonic analysis of the de Rham complex on the sphere.
- PROJECTIVE REPRESENTATIONS OF INFINITE-DIMENSIONAL ORTHOGONAL AND SYMPLECTIC GROUPS
- Remarks on the symmetric space $\mathrm{Sp}_2(H)/U(H)$ and its quatization.
- Linear Symmetries of Free Boson Fields
- Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces
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