Ebook: Oscillator Representation in Quantum Physics

This book describes in detail the oscillator representation method and its application to an approximate solution of the Schr?dinger equation with an appropriate interaction Hamiltonian. The method also works well in quantum field theory in the strong coupling regime in calculations of path integrals, as explained by the authors. Furthermore, spectral problems in quantum mechanics are treated.
The book addresses students as well as researchers in quantum physics, quantum field theory, and nuclear and molecular physics.

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This book describes in detail the oscillator representation method and its application to an approximate solution of the Schr?dinger equation with an appropriate interaction Hamiltonian. The method also works well in quantum field theory in the strong coupling regime in calculations of path integrals, as explained by the authors. Furthermore, spectral problems in quantum mechanics are treated.
The book addresses students as well as researchers in quantum physics, quantum field theory, and nuclear and molecular physics.
Content:
Front Matter....Pages I-IX
Introduction....Pages 1-6
Front Matter....Pages 7-7
Formulation of the Method....Pages 9-32
The Phase Structure of the (? 2)2 Field Theory in R 1+1 ....Pages 33-44
The Phase Structure of the Three-Dimensional ?4 Theory....Pages 45-70
The Four-Dimensional ? 4 Theory....Pages 71-80
The ? 4 Theory at Finite Temperatures....Pages 81-98
The Two-Dimensional Yukawa Theory....Pages 99-119
Back Matter....Pages 121-123
Front Matter....Pages 125-125
Path Integrals in Quantum Physics....Pages 127-144
The Gaussian Equivalent Representation of Functional Integrals....Pages 145-155
The Polaron Problem....Pages 157-178
The Character of the Phase Transition in Two- and Three-Dimensional ? 4 Theory....Pages 179-188
Wave Propagation in Randomly Distributed Media....Pages 189-196
Bound States in QFT....Pages 197-202
Back Matter....Pages 203-206
Front Matter....Pages 207-207
The Oscillator in Quantum Mechanics....Pages 209-213
The Oscillator Representation in R d ....Pages 215-221
The Oscillator Representation in the Space R 3 ....Pages 223-234
Anharmonic Potentials....Pages 235-245
Coulomb-Type Potentials....Pages 247-250
The Relativized Schr?dinger Equation....Pages 251-256
Three-Body Coulomb Systems....Pages 257-275
Back Matter....Pages 277-279

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This book describes in detail the oscillator representation method and its application to an approximate solution of the Schr?dinger equation with an appropriate interaction Hamiltonian. The method also works well in quantum field theory in the strong coupling regime in calculations of path integrals, as explained by the authors. Furthermore, spectral problems in quantum mechanics are treated.
The book addresses students as well as researchers in quantum physics, quantum field theory, and nuclear and molecular physics.
Content:
Front Matter....Pages I-IX
Introduction....Pages 1-6
Front Matter....Pages 7-7
Formulation of the Method....Pages 9-32
The Phase Structure of the (? 2)2 Field Theory in R 1+1 ....Pages 33-44
The Phase Structure of the Three-Dimensional ?4 Theory....Pages 45-70
The Four-Dimensional ? 4 Theory....Pages 71-80
The ? 4 Theory at Finite Temperatures....Pages 81-98
The Two-Dimensional Yukawa Theory....Pages 99-119
Back Matter....Pages 121-123
Front Matter....Pages 125-125
Path Integrals in Quantum Physics....Pages 127-144
The Gaussian Equivalent Representation of Functional Integrals....Pages 145-155
The Polaron Problem....Pages 157-178
The Character of the Phase Transition in Two- and Three-Dimensional ? 4 Theory....Pages 179-188
Wave Propagation in Randomly Distributed Media....Pages 189-196
Bound States in QFT....Pages 197-202
Back Matter....Pages 203-206
Front Matter....Pages 207-207
The Oscillator in Quantum Mechanics....Pages 209-213
The Oscillator Representation in R d ....Pages 215-221
The Oscillator Representation in the Space R 3 ....Pages 223-234
Anharmonic Potentials....Pages 235-245
Coulomb-Type Potentials....Pages 247-250
The Relativized Schr?dinger Equation....Pages 251-256
Three-Body Coulomb Systems....Pages 257-275
Back Matter....Pages 277-279
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