The Flow Equation Approach to Many-Particle Systems
Over the past decade, the flow equationmethod has developed into a new versatile theoretical approach to quantum many-body physics. Its basic concept was conceived independently by Wegner [1] and by Glazek and Wilson [2, 3]: the derivation of a unitary flow that makes a many-particle Hamiltonian increasingly energy-diagonal. This concept can be seen as a generalization of the conventional scaling approaches in many-body physics, where some ultra-violet energy scale is lowered down to the experimentally relevant low-energy scale [4]. The main difference between the conventional scaling approach and the flow equation approach can then be traced back to the fact that the flow equation approach retains all degrees of freedom, i. e. the full Hilbert space, while the conventional scaling approach focusses on some low-energy subspace. One useful feature of the flow equation approach is therefore that it allows the calculation of dynamical quantities on all energy scales in one unified framework. Since its introduction, a substantial body of work using the flow equation approach has accumulated. It was used to study a number of very different quantum many-body problems from dissipative quantum systems to correlated electron physics. Recently, it also became apparent that the flow equation approach is very suitable for studying quantum many-body n- equilibrium problems, which form one of the current frontiers of modern theoretical physics. Therefore the time seems ready to compile the research literature on flow equations in a consistent and accessible way, which was my goal in writing this book.
1100020876
The Flow Equation Approach to Many-Particle Systems
Over the past decade, the flow equationmethod has developed into a new versatile theoretical approach to quantum many-body physics. Its basic concept was conceived independently by Wegner [1] and by Glazek and Wilson [2, 3]: the derivation of a unitary flow that makes a many-particle Hamiltonian increasingly energy-diagonal. This concept can be seen as a generalization of the conventional scaling approaches in many-body physics, where some ultra-violet energy scale is lowered down to the experimentally relevant low-energy scale [4]. The main difference between the conventional scaling approach and the flow equation approach can then be traced back to the fact that the flow equation approach retains all degrees of freedom, i. e. the full Hilbert space, while the conventional scaling approach focusses on some low-energy subspace. One useful feature of the flow equation approach is therefore that it allows the calculation of dynamical quantities on all energy scales in one unified framework. Since its introduction, a substantial body of work using the flow equation approach has accumulated. It was used to study a number of very different quantum many-body problems from dissipative quantum systems to correlated electron physics. Recently, it also became apparent that the flow equation approach is very suitable for studying quantum many-body n- equilibrium problems, which form one of the current frontiers of modern theoretical physics. Therefore the time seems ready to compile the research literature on flow equations in a consistent and accessible way, which was my goal in writing this book.
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The Flow Equation Approach to Many-Particle Systems
172
The Flow Equation Approach to Many-Particle Systems
172Hardcover(2006)
$169.99
169.99
In Stock
Product Details
| ISBN-13: | 9783540340676 |
|---|---|
| Publisher: | Springer Berlin Heidelberg |
| Publication date: | 08/18/2006 |
| Series: | Springer Tracts in Modern Physics , #217 |
| Edition description: | 2006 |
| Pages: | 172 |
| Product dimensions: | 6.10(w) x 9.25(h) x 0.02(d) |
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