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Award Abstract #1306407

Quantum Theories of Fundamental Atomic and Molecular Processes

NSF Org: PHY
Division Of Physics
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Initial Amendment Date: June 27, 2013
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Latest Amendment Date: July 12, 2015
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Award Number: 1306407
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Award Instrument: Continuing grant
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Program Manager: Michael Cavagnero
PHY Division Of Physics
MPS Direct For Mathematical & Physical Scien
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Start Date: August 1, 2013
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End Date: July 31, 2017 (Estimated)
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Awarded Amount to Date: $165,000.00
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Investigator(s): Bo Gao bo.gao@utoledo.edu (Principal Investigator)
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Sponsor: University of Toledo
2801 W Bancroft St., MS 944
TOLEDO, OH 43606-3390 (419)530-2844
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NSF Program(s): AMO Theory/Atomic, Molecular &
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Program Reference Code(s): OTHR
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Program Element Code(s): 1284

ABSTRACT

This project will develop a set of quantum theories for a systematic understanding of fundamental atomic and molecular processes over a wide range of temperatures, from zero kelvin, where everything behaves quantum mechanically, to room temperature, where certain aspects of the atomic and molecular motion have evolved into classical behavior, but with subtle quantum effects remain that can play a crucial role in astronomy, chemistry, condensed matter, and biology. While quantum theories can be relatively simple near absolute zero temperature, it can become exceedingly difficult at higher temperatures where the number of states has grown dramatically. Can we efficiently deal with quantum systems with many states? Can quantum theories for atoms and molecules be not only accurate, but also sufficiently simple and systematic that they can be used to build new quantum theories for more complex few-body and many-body systems? These are the fundamental questions that we expect to make progress on, based upon a set of conceptual and mathematical advances that the PI, his students, and colleagues have accumulated in over a decade.

In terms of broader impact, atomic and molecular interactions and processes are at the very foundation of physical sciences. There is a wide range of applications in areas ranging from cold atoms to astrophysics. This work will allow substantially new, accurate yet simple quantum theories for atomic and molecular processes to be developed. This project will involve the training of graduate students. These students will be well trained in fundamental quantum physics of atoms and molecules. This will allow them to develop new theories and models in other areas of physical sciences such as astronomy, chemistry, condensed matter, and biology.


PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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Duan, Hao and You, Li and Gao, Bo. "Ultracold collisions in the presence of synthetic spin-orbit coupling," Phys. Rev. A, v.87, 2013, p. 052708. 

Gao, Bo. "Quantum-defect theory for $$-${}1/{r}^{4}$-type interactions," Phys. Rev. A, v.88, 2013, p. 022701. 

Li, Ming and You, Li and Gao, Bo. "Multichannel quantum-defect theory for ion-atom interactions," Phys. Rev. A, v.89, 2014, p. 052704. 

Li, Ming and Gao, Bo. "Proton-hydrogen collisions at low temperatures," Phys. Rev. A, v.91, 2015, p. 032702. 

Makrides, Constantinos and Gao, Bo. "Multichannel quantum-defect theory for magnetic Feshbach resonances in heteronuclear group-I systems," Phys. Rev. A, v.89, 2014, p. 062718. 

 

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