Marvin D. Girardeau
#64,285
Most Influential Person Now
American physicist
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Physics
Marvin D. Girardeau's Degrees
- Masters Physics Stanford University
- Bachelors Physics California Institute of Technology
Why Is Marvin D. Girardeau Influential?
(Suggest an Edit or Addition)According to Wikipedia, Marvin D. Girardeau was a quantum physicist, and a faculty member in the Institute for Theoretical Science at the University of Oregon, where he was hired as a professor in 1963 and worked until his retirement in 2000, after which he became a research professor at the University of Arizona. He was a mathematical physicist with an unusual nonlinear career, which culminated in a remarkable impact in the ultracold atom physics community. One of Girardeau's achievements was to predict the existence of the Tonks–Girardeau gas in 1960. A Tonks–Girardeau gas was created in 2004, and its measured properties strikingly confirmed Girardeau's original predictions.
Marvin D. Girardeau's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension (1960) (1104)
- THEORY OF MANY-BOSON SYSTEMS: PAIR THEORY (1959) (213)
- Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap (2000) (119)
- Fermi-Bose mapping for one-dimensional Bose gases (2005) (109)
- Permutation Symmetry of Many-Particle Wave Functions (1965) (105)
- Soluble models of strongly interacting ultracold gas mixtures in tight waveguides. (2007) (80)
- Dark solitons in a one-dimensional condensate of hard core bosons. (2000) (64)
- Formulation of the Many‐Body Problem for Composite Particles (1963) (64)
- Comment on “Particle-number-conserving Bogoliubov method which demonstrates the validity of the time-dependent Gross-Pitaevskii equation for a highly condensed Bose gas” (1998) (59)
- Second‐quantization representation for a nonrelativistic system of composite particles. I. Generalized Tani transformation and its iterative evaluation (1975) (55)
- Anyon-fermion mapping and applications to ultracold gases in tight waveguides. (2006) (51)
- SECOND-QUANTIZATION REPRESENTATION FOR SYSTEMS OF ATOMS, NUCLEI, AND ELECTRONS. (1971) (44)
- Efficient Algorithm for Optimal Control of Mixed-State Quantum Systems (1999) (44)
- Theory of spinor Fermi and Bose gases in tight atom waveguides (2004) (43)
- Two super-Tonks-Girardeau states of a trapped one-dimensional spinor Fermi gas (2010) (40)
- Exact ground-state properties of a one-dimensional Coulomb gas (2010) (36)
- KINEMATICAL BOUNDS ON OPTIMIZATION OF OBSERVABLES FOR QUANTUM SYSTEMS (1998) (36)
- Effective interactions, Fermi–Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides (2004) (31)
- Momentum distribution for a one-dimensional trapped gas of hard-core bosons (2002) (30)
- Interference of a thermal tonks gas on a ring. (2002) (25)
- Order-order transitions in spin systems with double electron exchange (1976) (24)
- Simple and Generalized Condensation in Many‐Boson Systems (1962) (23)
- Second quantization for composite particles, reactive collisions, and unstable particles (1980) (21)
- Formulation of the Many-Body Problem for Composite Particles. III. The Projected Hamiltonian (1971) (21)
- Off‐Diagonal Long‐Range Order and Generalized Bose Condensation (1965) (21)
- GROUND STATE OF THE CHARGED BOSE GAS (1962) (20)
- Wave functions of the super-Tonks-Girardeau gas and the trapped one-dimensional hard-sphere Bose gas (2009) (20)
- Crossover from one to three dimensions for a gas of hard-core bosons. (2002) (19)
- Super-Tonks-Girardeau state in an attractive one-dimensional dipolar gas. (2012) (19)
- Ground and excited states of spinor fermi gases in tight waveguides and the Lieb-Liniger-Heisenberg model. (2006) (19)
- Fock-tani representation for the quantum theory of reactive collisions (1979) (18)
- Bosonization, pairing, and superconductivity of the fermionic Tonks-Girardeau gas. (2005) (18)
- Decay of magnetization in the one-dimensional XY model☆ (1969) (17)
- Bose-Fermi variational theory of the Bose-Einstein condensate crossover to the Tonks gas. (2001) (17)
- Tonks-Girardeau and super-Tonks-Girardeau states of a trapped one-dimensional spinor Bose gas (2010) (17)
- Kinematical bounds on evolution and optimization of mixed quantum states (1997) (17)
- Fock-Tani representation for positron-hydrogen scattering (1982) (17)
- Proof of the Symmetrization Postulate (1969) (16)
- Formulation of the Many‐Body Problem for Composite Particles. II. Equivalence of Physical and Ideal State Spaces (1970) (15)
- Completely Orthogonalized Plane Waves (1971) (15)
- Motion of an impurity particle in an ultracold quasi-one-dimensional gas of hard-core bosons (2008) (14)
- Quantum mechanics of one-dimensional trapped Tonks gases (2001) (14)
- Second‐quantization representation for a nonrelativistic system of composite particles. II. Kinematical properties of the multispecies Tani transformation (1978) (14)
- Variational Method for Classical Statistical Mechanics (1964) (13)
- Theory of a one-dimensional double-X-junction atom interferometer (2002) (13)
- Measurement of one-particle correlations and momentum distributions for trapped 1D gases. (2000) (11)
- WEAK-COUPLING EXPANSION FOR THE GROUND-STATE ENERGY OF A MANY-BOSON SYSTEM (1959) (11)
- Dynamics of Lieb-Liniger gases. (2003) (11)
- Fock–Tani representation for composite particles in a soluble model (1980) (10)
- Liouvillian Green's functions and self-energies for energy-shift and decay phenomena (1983) (10)
- Pairing of a harmonically trapped fermionic Tonks-Girardeau gas (2006) (9)
- Relaxation of localized magnetization in the one-dimensional XY model (1970) (8)
- FIELD-THEORETIC APPROACH FOR SYSTEMS OF COMPOSITE HADRONS (1996) (8)
- Static and dynamic properties of trapped fermionic Tonks-Girardeau gases. (2005) (8)
- Stability of spinor Fermi gases in tight waveguides (2007) (8)
- Broken Symmetry and Generalized Bose Condensation in Restricted Geometries (1969) (7)
- Pair Occupation, Fermi Condensation, and Phase Transitions in Many‐Fermion Systems (1970) (6)
- Fermi-Bose mapping and N-particle ground state of spin-polarized fermions in tight atom waveguides (2003) (6)
- Ideal-space treatment of the e++H to Ps+H+ process (1983) (6)
- Variational Principle of Gibbs and Bogolubov (1964) (6)
- Variational Methods in Statistical Mechanics (2007) (6)
- Saha Equation, Single and Two Particle States (1990) (5)
- Erratum: Variational Method for the Quantum Statistics of Interacting Particles (1962) (5)
- New Variational Principle for Decaying States (1983) (5)
- Reduction of a quantum n-body problem to an (n-1)-body problem (1983) (5)
- On the theory of dense exciton systems (1987) (5)
- Use of orthogonalized plane waves in the many-electron problem (1966) (5)
- Second quantization representation for decay of unstable particles (1979) (5)
- Many-electron exchange Hamiltonian in the theory of ferromagnetism (1977) (5)
- Ground state of a mixture of two bosonic Calogero-Sutherland gases with strong odd-wave interspecies attraction (2009) (5)
- Thermodynamically Equivalent Hamiltonian Method in Nonequilibrium Statistical Mechanics (1967) (5)
- OFF-DIAGONAL LONG-RANGE ORDER AND THE MOMENTUM DISTRIBUTION OF ELECTRON PAIRS IN SUPERCONDUCTORS AND HELIUM ATOMS IN LIQUID $sup 4$He. (1971) (4)
- Magnetic ordering in a generalized Heisenberg model with biquadratic exchange. II. Partially aligned mean-field ground states (1977) (4)
- Bose condensation and momentum distribution in a simplified liquid-$sup 4$He ground state (1973) (4)
- Pairing, off-diagonal long-range order, and quantum phase transition in strongly attracting ultracold bose gas mixtures in tight waveguides. (2009) (4)
- STATISTICAL MECHANICS OF AN ASSEMBLY OF QUASIPARTICLES (1965) (4)
- Bose-Fermi variational theory of the BEC-Tonks crossover (2001) (4)
- Rotating ground states of a one-dimensional spin-polarized gas of fermionic atoms with attractive p-wave interactions on a mesoscopic ring. (2007) (4)
- Matrix elements of multiple electron exchange between spin functions of maximum multiplicity (1976) (3)
- Liouvillian Green's-function theory of spectral line shape (1983) (3)
- Anisotropic Heisenberg Linear Chain at Nonzero Temperature (1967) (3)
- Equilibrium superradiance in a Bose gas (1978) (3)
- Comment on "Strongly interacting one-dimensional Bose-Einstein condensates in harmonic traps" (2000) (3)
- Magnetic ordering in a generalized Heisenberg model with biquadratic exchange. I. Hamiltonian and two-spin eigenstates (1977) (3)
- Three-body exclusion principle, duality mapping, and exact ground state of a harmonically trapped, ultracold Bose gas with three-body hard-core interactions in one dimension (2010) (3)
- Electromagnetic interactions in liquid helium (1979) (3)
- Theory of Many - Boson Systems. (1958) (2)
- Soluble model in the band theory of ferromagnetism (1968) (2)
- Pair theory of the Hubbard Hamiltonian: variational approach (1987) (2)
- Soluble Models of Strongly Interacting Two-level Ultracold Gases in Tight Waveguides with Coupling to the Quantized Electromagnetic Field (2007) (2)
- Properties of a Simplified Liquid 4He Ground State (1970) (2)
- Theory of half‐collision cross sections (1986) (2)
- Soluble Model of Condensation (1969) (2)
- Space-time correlation function representation of reactive scattering by large systems (1986) (2)
- Generalized Wannier and Bloch functions for a lattice with a substitutional impurity (1968) (2)
- Bright and dark solitary waves in a one-dimensional spin-polarized gas of fermionic atoms with p -wave interactions in a hard-wall trap (2007) (1)
- Reply to arXiv:1002.4366, "Comment on `Motion of an impurity in an ultracold quasi-one-dimensional gas of hard-core bosons`", by S. Giraud and R. Combescot (2010) (1)
- Exclusion principle effect on the pair distribution function in the composite boson approach to the theory of liquid 4He (1976) (1)
- Bound states, plane waves, and orthogonalization (1978) (1)
- Reply to ``Comment on `Motion of an impurity particle in an ultracold quasi-one-dimensional gas of hard-core bosons' '' (2010) (1)
- Liouvillian propagator technique for perturbed wave functions, level shifts and broadenings of composite particles in a many-body medium (1981) (1)
- Inverse problem with constraints (1973) (0)
- Fermi versus bose condensation in superconductors and liquid 4He (1969) (0)
- Generalized Schrodinger Equations for Shifts, Widths, and Wave Functions of Atomic and Molecular States in Dense Matter (1990) (0)
- Variational Pair Theory of Many-Boson Systems: Origins and Application to Trapped Atomic BEC (1999) (0)
- Applications of Quantum Field Theory to Atomic Collisions and Spectral Lines (1982) (0)
- 0 Ju l 2 01 0 Two super Tonks-Girardeau states of a trapped 1 D spinor Fermi gas (2010) (0)
- Applications of Quantum Field Theory to Atomic Collisions and Chemical Reactions. (1983) (0)
- Equivalent Two-Body Interactions with Specified Bound-State Wave Functions (1972) (0)
- Completeness of pair wave functions (1984) (0)
- Liouvillian Green's Function Approach to Non-Equilibrium Environmental Effects on Spectral Lines (1983) (0)
- Nonlinear Wave Equation for Decaying States (1984) (0)
- Operator basis method for quantum statistical mechanics of matter in intense radiation fields (1994) (0)
- Bose Condensation in Superconductors and Liquid 4 He (1974) (0)
- Final Technical Report on Contract N00014-81-K-0759 (Oregon University, Eugene). (1988) (0)
- Low Energy Positron-Hydrogen Scattering (1988) (0)
- Nonlinear normal-mode-scattering-mode transformation (1990) (0)
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