Bo Gao's Home Page (高波)
	Do your work, then step back. The only way to serenity. Lao-tzu, Chapter 9 Dao De Jin (Tao Te Ching) in Chinese
	Theoretical Physics
Department of Physics and Astronomy, University of Toledo

Home | Publications | Quantum Mechanics | CV

About Physics

Richard P. Feynman says:

If in some cataclysm, all of scientific knowledge were to be destroyed, and only one sentence passed on to the next generations of creatures, what statement would contain the most information in the fewest words? I believe it is the atomic hypothesis (or the atomic fact, or whatever you wish to call it) that all things are made of atoms--little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another. In that one sentence, you will see, there is an enormous amount of information about the world, if just a little imagination and thinking are applied.

My Research

Current Interest:

We study how atoms interact with each other, how this interaction may be altered or controlled under different external conditions, and the consequences of such interactions on chemical reactions, few-atom systems, and many-atom systems. As stated by Feynman above, within this picture there is an enormous amount of information about the world, if just a little imagination and thinking are applied.

• Reactions and Inelastic Processes
• Slow Atomic Collisions and and Long-Range Molecules (Related publications)
• Quantum Few-Atom and Quantum Many-Atom Systems (Bose-Einstein Condensate being one example) (Related publications)

Recent Highlights:

On reactions and inelastic processes:

1. Bo Gao, "Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes", Physical Review A, 83, 062712 (2011). PDF
2. Bo Gao, "Universal model for exoergic bimolecular reactions and inelastic processes", Physical Review Letters, 105, 263203 (2010). PDF

On the analytic description of atomic interaction at ultracold temperatures:

1. B. Gao, "Analytic description of atomic interaction at ultracold temperatures. II. Scattering around a magnetic Feshbach resonance", Physical Review A 84, 022706 (2011). PDF
2. B. Gao, "Analytic description of atomic interaction at ultracold temperatures: the case of a single channel", Physical Review A 80, 012702 (2009). PDF

Previous Highlights:

1. B. Gao, "General form of the quantum-defect theory for −1/r^α type of potentials with α>2", Physical Review A 78, 012702 (2008). PDF

• Resolves a number of conceptual issues as related to atomic interaction at low temperatures.
• Contains a systematic understanding of quantum reflection and tunneling in atomic interactions.

2. Bo Gao, “Zero temperature phases of many-atom Bose systems”, Physical Review Letters, 95, 240403 (2005). PDF

and Bo Gao, "Universal properties of Bose systems with van der Waals interaction", Journal of Physics B: Atomic, Molecular and Optical Physics, 37, L227 (2004). PDF

• A systematic methodology for treating N-body quantum systems starting from the longest length scale
• An unified description of both the gaseous and the liquid phases
• Applicable to any scattering length
• Applicable over a wide range of densities from zero to that of liquid helium

3. Bo Gao, "Angular-momentum-insensitive quantum defect theory for diatomic systems", Physical Review A 64, 010701(R) (2001). PDF

• It shows for a diatomic system that scattering of different angular momenta are related, and so are the bound spectra of different angular momenta. They can all be described by a single short-range parameter.

4. Bo Gao, "Breakdown of Bohr's correspondence principle", Physical Review Letters  83, 4225 (1999).  PDF

5. Bo Gao, "Solutions of Schrodinger equation for an attractive 1/r⁶ potential", Physical Review A 58, 1728 (1998). PDF

• A new type of special functions that are solutions of a second-order ordinary differential equation with two irregular singularities.

Other Areas of Interest:

• Quantum Optics and Photon Statistics (Related publications)
• Collision Broadening and Spectral Line Shape in general (Related publications)
• Multiphoton Processes (Related publications)

My Teaching

Quantum Mechanics

My Web Notes on General Physics

• PHYS2070
• PHYS2080

My Hobbies

• Math
• Computation
  • Doing Physics With C++

My Links

• ITAMP
• JILA
• NIST Physics Laboratory
• The coolest place in Austria!

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Email: Bo.Gao@utoledo.edu