Prof. dr ir Hans Dekker | publtopics4.doc
Institute for Theoretical Physics
University of Amsterdam
Science Park 904
1098 XH Amsterdam
and
Private Institute for Advanced Study
Résidence Le Jardin
1016 XA Amsterdam
h.dekker@uva.nl
TOPICAL PUBLICATIONS:
QUANTUM DISSIPATION:
● Stationary Momentum Space Solution of the Fokker-Planck Equation for a Simple Model of a Laser Oscillator Exhibiting Spatial Dispersion, Opt. Comm. 10 (1974) 114-119.
[https://doi.org/10.1016/0030-4018(74)90034-0] [https://researchgate.net/publication/243211788]
● On the Quantization of Dissipative Systems in the Lagrange-Hamilton Formalism, Z. Phys. B21 (1975) 295-300.
[https://doi.org/10.1007/BF01313310] [https://researchgate.net/publication/226394934]
● The Fokker-Planck Equation for the Continuum Mode Laser with Spatially Inhomogenous Dissipation and Excitation, Physica 83C (1976) 183-192.
[https://doi.org/10.1016/0378-4363(76)90220-5] [https://researchgate.net/publication/240908429]
● On the Statistics of Quantised Dissipative Systems, Z. Phys. B24 (1976) 211-218.
● Note on the Symmetrized Density Operator Treatment of Quantized Dissipative Systems, Z. Phys. B25 (1976) 293-295.
● On the Noise Operator Approach to Quantized Dissipative Systems, Z. Phys. B26 (1977) 273-279.
● Quantization of the Linearly Damped Harmonic Oscillator, Physical Review A16 (1977) 2126-2134.
[https://doi.org/10.1103/PhysRevA.16.2126] [https://researchgate.net/publication/235576443]
● On the Phase Space Quantization of the Linearly Damped Harmonic Oscillator, Physica 95A (1979) 311-323.
[https://doi.org/10.1016/0378-4371(79)90057-8] [https://researchgate.net/publication/232355157]
● On the Master Equation and Pure State Representations for the Quantized Damped Oscillator, Phys. Lett. 74A (1979) 15-17.
● Dissipation of Energy Quanta, Phys. Lett. 76A (1980) 362-364.
● Damped Oscillator Pure State Representations, Phys. Lett. 80A (1980) 369-371.
● Classical and Quantum Mechanics of the Damped Harmonic Oscillator, Physics Reports 80 (1981) 1-112.
[https://doi.org/10.1016/0370-1573(81)90033-8] [https://researchgate.net/publication/222990789]
[https://doi.org/10.1016/0370-1573(81)90034-X][https://researchgate.net/publication/280075501]
● Quantum Field Theory of an Oscillator Coupled to a Finite String, Phys. Lett. 92A (1982) 61-62.
● & M.C. Valsakumar, A Fundamental Constraint on Quantum Mechanical Diffusion Coefficients, Phys. Lett. 104A (1984) 67-71.
[https://doi.org/10.1016/0375-9601(84)90964-2] [https://researchgate.net/publication/223119720]
● A Note on the Exact Solution of the Dynamics of an Oscillator Coupled to a Finitely Extended One-dimensional Mechanical Field and the Ensuing Quantum Mechanical Ultraviolet Divergence, Phys. Lett. 104A (1984) 72-76.
● Particles on a String: Towards Understanding a Quantum Mechanical Divergence, Phys. Lett. 105A (1984) 395-400.
[https://doi.org/10.1016/0375-9601(84)90715-1] [https://researchgate.net/publication/223128207]
● Bound Electron Dynamics: Exact Solution for a One-dimensional Oscillator-String Model, Phys. Lett. 105A (1984) 401-406.
● Exactly Solvable Model of a Particle Interacting with a Field: the Origin of a Quantum Mechanical Divergence, Physical Review A31 (1985) 1067-1076.
[https://doi.org/10.1103/PhysRevA.31.1067] [https://researchgate.net/publication/13392719]
● Exact Classical and Quantum Mechanics of a Particle Coupled to a Membrane, Physica 129A (1985) 503-513.
[https://doi.org/10.1016/0378-4371(85)90182-7] [https://researchgate.net/publication/256594462]
● Dynamics of Radiating Electrons, Phys. lett. 107A (1985) 255-258.
● A Contribution to the Dynamical Theory of Radiating Electrons, Physica 133A (1985) 1-34.
[https://doi.org/10.1016/0378-4371(85)90054-8] [https://researchgate.net/publication/256594355]
● Nonpermuting Zero-damping and Infinite-system Limits in an Exactly Solvable Model of a Particle Interacting with a Field, Physical Review A33 (1986) 2140-2141.
[https://doi.org/10.1103/PhysRevA.33.2140] [https://researchgate.net/publication/13392005]
● Nonpermuting Limits (of Zero-damping and Infinite-system Size) in an Exactly Solvable One-dimensional Electrodynamical Model, Phys. Lett. 114A (1986) 292-294.
● Nonpermuting Limits in the Theory of Radiating Electrons: Zero-damping versus Infinite-volume, Physica 139A (1986) 430-436.
● Quantum Relaxation and the Fundamental Commutator, Phys. Lett. 119A (1986) 201-202.
[https://doi.org/10.1016/0375-9601(86)90447-0] [https://researchgate.net/publication/243253750]
● Quantum Coherence: Two-State System in a Thermal Environment, J. Physics (Solid State) C20 (1987) 3643-3646.
[http://iopscience.iop.org/0022-3719/20/24/006] [https://researchgate.net/publication/279513374]
● Noninteracting-blip Approximation for a Two-level System Coupled to a Heat Bath, Physical Review A35 (1987) 1436-1437.
[https://doi.org/10.1103/PhysRevA.35.1436] [https://researchgate.net/publication/13391422]
● Dynamics of the Dissipative Two-State System: the Noninteracting-blip Approximation, Physica 141A (1987) 570-574.
[https://doi.org/10.1016/0378-4371(87)90183-X] [https://researchgate.net/publication/243356082]
● Quantum Coherence and Tunnelling in a Double-Well Potential in a Thermal Environment: Dynamics of the Weakly Coupled Spin-Boson System, Physica 144A (1987) 453-480 & 146A (1987) 662.
[https://doi.org/10.1016/0378-4371(87)90202-0] [https://researchgate.net/publication/279512970]
[https://doi.org/10.1016/0378-4371(87)90292-5] [https://researchgate.net/publication/243218935]
● Dissipative Quantum Mechanics: a Proof of Dynamical Consistency, Physica 144A (1987) 445-452.
[https://doi.org/10.1016/0378-4371(87)90201-9] [https://researchgate.net/publication/229222798]
● Dynamics of the Dissipative Two-State System, Mark Kac Seminar: CWI Syllabus 17 (1987) 147-152.
● Quantum Mechanical Barrier Problems I: Coherence and Tunnelling in Asymmetric Potentials, Physica 146A (1987) 375-386.
[https://doi.org/10.1016/0378-4371(87)90274-3] [https://researchgate.net/publication/252655327]
● Quantum Mechanical Barrier Problems II: Dissipative Tunnelling at Finite Temperatures for the Unbiased Oscillator, Physica 146A (1987) 387-395.
[https://doi.org/10.1016/0378-4371(87)90275-5] [https://researchgate.net/publication/271997546]
● Quantum Mechanical Barrier Problems III: Dissipative Tunnelling at Finite Temperatures for the Weakly Biased Oscillator, Physica 146A (1987) 396-403.
[https://doi.org/10.1016/0378-4371(87)90276-7] [https://researchgate.net/publication/252603760]
● The Frozen False Vacuum, Proc. Conf. Path Integral Method & Applications (ICTP-Triëst, 1987): Path Summation: Achievements and Goals, edited by S. Lundqvist, A. Ranfagni, V. Sa-yakanit & L.S. Schulman (World Scientific, Singapore, 1988) p. 147-167.
● Dissipative Quantum Tunnelling and Thermal Activation: an Exactly Solvable Model, Mod. Phys. Lett. B2 (1988) 853-856.
● Incoherent Tunneling at Weak Bias: Strong Quantum Damping, Physica A154 (1988) 61-88.
[https://doi.org/10.1016/0378-4371(88)90181-1] [https://researchgate.net/publication/256594376]
● Exactly Solvable Model for Thermal Activation and Quantum Tunneling in Ohmic Systems, Physical Review A38 (1988) 6351-6361.
[https://doi.org/10.1103/PhysRevA.38.6351] [https://researchgate.net/publication/13389525]
● Incoherent Tunneling at Weak Bias: Weak Quantum Damping, Physica A156 (1989) 756-780.
[https://doi.org/10.1016/0378-4371(89)90019-8] [https://researchgate.net/publication/256594375]
● Dissipative Quantum Decay at Weak Bias: Finite Temperature Tunneling through Almost Degenerate Barriers, Proc. Conf. Path Integrals from meV to MeV (FTS-Bangkok, 1989), edited by V. Sa-yakanit et al. (World Scientific, Singapore, 1990) p. 329-354.
● Kinetics of Nearly Degenerate Metastable Systems with Ohmic Dissipation: the Nongaussian Quantum Statistical Path Integral, Intern. J. Mod. Phys. B4 (1990) 549-567.
[https://doi.org/10.1142/S0217979290000279] [https://researchgate.net/publication/253452272]
● Simple Unified Quantum Stochastic Modeling of Ohmic Metastability, Proc. 3rd ISQM-Tokyo '89, edited by S. Kobayashi et al. (Phys. Soc. Japan, Tokyo, 1990) p. 196-200.
[https://researchgate.net/publication/284157473]
● Imaginary-time Path Integrals and Degenerate Metastability, Proc. BARC Seminar on Path Integral Methods and their Application (Bombay, 1989), edited by D.C. Khandekar & S.W. Lawande (Indian Phys. Assoc., Bombay, 1990) p. 105-128.
● The Dissipative Double-well Potential: a Multilevel Spin Hopping Analysis, Mod. Phys. Lett. B5 (1991) 351-356.
● Multilevel Tunneling and Coherence: Dissipative Spin-hopping Dynamics at Finite Temperatures, Physical Review A44 (1991) 2314-2323.
[https://doi.org/10.1103/PhysRevA.44.2314] [https://researchgate.net/publication/13383344]
● Multisite Spin Hopping Analysis of Multilevel Dissipative Quantum Tunneling and Coherence at Finite Temperatures I. General Theory, Physica A175 (1991) 485-527.
[https://doi.org/10.1016/0378-4371(91)90245-8] [https://researchgate.net/publication/223890463]
● Multisite Spin Hopping Analysis of Multilevel Dissipative Quantum Tunneling and Coherence at Finite Temperatures II. Weak Coupling, Physica A176 (1991) 220-240.
[https://doi.org/10.1016/0378-4371(91)90289-O] [https://researchgate.net/publication/254796735]
● Multisite Spin Hopping Analysis of Multilevel Dissipative Quantum Tunneling and Coherence at Finite Temperatures III. Strong Coupling, Physica A178 (1991) 289-331.
[https://doi.org/10.1016/0378-4371(91)90022-5] [https://researchgate.net/publication/222323520]
● Multisite Spin Hopping Analysis of Multilevel Dissipative Quantum Tunneling and Coherence at Finite Temperatures IV. The Biased Case, Physica A179 (1991) 81-102.
[https://doi.org/10.1016/0378-4371(91)90216-Y] [https://researchgate.net/publication/223090314]
● Dissipatieve Quantum Processen (College Syllabus, Universiteit van Amsterdam, 1991).
● Dissipative Quantum Processes, in: Proc. Conf. Path. Integrals in Physics, Bangkok, 1993, edited by V.Sa-yakanit et al. (World Scientific, Singapore, 1994) p.137-153.
[https://researchgate.net/publication/301232236]
● Effective Dipole-Radiation-field Theory: I. One-dimensional Oscillator beyond Standard Coupling, Intern. J. Mod. Phys. B8 (1994) 2307-2325.
[https://doi.org/10.1142/S0217979294000944] [https://researchgate.net/publication/263976144]
● Multilevel Tunneling and Coherence: Dissipative Spin-Hopping Dynamics at Finite Temperatures: Erratum, Physical Review E50 (1994) 4265.
[https://doi.org/10.1103/PhysRevE.50.4265] [https://researchgate.net/publication/13317301]
● Multisite Spin-Hopping Analysis of Multilevel Dissipative Quantum Tunneling and Coherence at Finite Temperatures: Erratum, Physica A210 (1994) 507-508.
[https://doi.org/10.1016/0378-4371(94)90097-3] [https://researchgate.net/publication/243356613]
● & A. Maassen van den Brink, Temperature Relaxation and the Kapitza Boundary Resistance Paradox, Physical Review B51 (1995) 17842-17847.
[https://doi.org/10.1103/PhysRevB.51.17842] [https://researchgate.net/publication/13310269]
● & A. Maassen van den Brink, Local Temperature Measurement and Kapitza Boundary Resistance, in: Proc. Phonons 95 Intern. Conf., Sapporo, Physica B219&220 (1996) 656-659.
[http://doi.org/10.1016/0921-4526(95)00843-8] [https://researchgate.net/publication/223274571]
● & A. Maassen van den Brink, Two- and Four-point Kapitza Resistance between Harmonic Solids, Physica A226 (1996) 64-116.
[https://doi.org/10.1016/0378-4371(95)00394-0] [https://researchgate.net/publication/223228592]
● Effective Dipole-Radiation-field Theory: II. All Orders beyond Standard Coupling, Intern. J. Mod. Phys. B10 (1996) 1211-1225.
[https://doi.org/10.1142/S0217979296000453] [https://researchgate.net/publication/254790939]
● & A. Maassen van den Brink, Nonequilibrium Thermodynamics of Josphson Devices, Mod. Phys. Lett. B10 (1996) 903-908.
● & A. Maassen van den Brink, Josephson-Junction Thermodynamics and the Superconducting Phase Transition in a SQUID device, Physical Review B55 (1997) R8697-8700.
[https://doi.org/10.1103/PhysRevB.55.R8697] [https://researchgate.net/publication/243431212]
● & A. Maassen van den Brink, Superconducting Correlations and the Thermodynamics of Josephson Junctions, Physica A237 (1997) 471-514.
[https://doi.org/10.1016/S0378-4371(96)00424-4] [https://researchgate.net/publication/243356872]
● Multilevel Mesoscopic Tunneling, in: Tunneling and its Implications, Edited by D. Mugnai, A. Ranfagni, and L.S. Schulman (World Scientific, Singapore, 1997) p. 66-79.
[https://researchgate.net/publication/241857239]
● Effective Dipole-Radiation Field Theory: III. Three-Dimensional Oscillator, Intern. J. Mod. Phys. B12 (1998) 965-987.
[https://doi.org/10.1142/S0217979298000545] [https://researchgate.net/publication/241349954]
● & A. Maassen van den Brink, Nonequilibrium Thermodynamics of Mesoscopic Systems, J. Supercond. 12 (1999) p. 719-725.
[https://doi.org/10.1023/A:1007772623750] [https://researchgate.net/publication/226442452]
● & A. Maassen van den Brink, Quantum thermometry and Kapitza resistance, in: Transfer Processes in Low-Dimensional Systems, Memorial Book for A.A. Ovchinnikov and A.I. Larkin, Edited by YU.I. Dahnovsky, V.D. Krevchik, V.Ya. Krivnov, M.B. Semenov, and K. Yamamoto (UT Research
Institute Press, Tokyo, 2005) p. 302-307.
[https://researchgate.net/publication/241884103]
● Multilevel macroscopic quantum tunneling: coherence and dissipation, in: A.I. Larkin Memorial Book, Edited by M.B. Semenov et al. (Moscow State University, Moscow, 2009) Vol.II, p. 13-27 (Russian).
● Multilevel macroscopic quantum tunneling: coherence and dissipation, in: Controllable dissipative tunneling. Tunnel transport in low-dimensional systems, Edited by A.J.Leggett (Fizmatlit, Moscow, 2012) p. 327-341.
[https://researchgate.net/publication/301540854]