Branched Quantization

Branched Quantization

We propose a method for quantization of Lagrangians for which the Hamiltonian, as a function of momentum, is a branched function, possibly with cusps. Appropriate boundary conditions, which we identify, ensure unitary time evolution. In special cases a dual (canonical) transformation maps the proble...

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Bibliographic Details
Main Authors: Shapere, Alfred (Author), Wilczek, Frank (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Physics (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2012-12-12T19:28:24Z.
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Online Access:Get fulltext
LEADER 01047 am a22001933u 4500
001 75432
042 |a dc 
100 1 0 |a Shapere, Alfred  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Physics  |e contributor 
100 1 0 |a Wilczek, Frank  |e contributor 
700 1 0 |a Wilczek, Frank  |e author 
245 0 0 |a Branched Quantization 
260 |b American Physical Society,   |c 2012-12-12T19:28:24Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/75432 
520 |a We propose a method for quantization of Lagrangians for which the Hamiltonian, as a function of momentum, is a branched function, possibly with cusps. Appropriate boundary conditions, which we identify, ensure unitary time evolution. In special cases a dual (canonical) transformation maps the problem into a problem of quantum mechanics on singular spaces, which we also develop. Several possible applications are indicated. 
520 |a United States. Dept. of Energy (Grant DE-FG02-05ER41360) 
546 |a en_US 
655 7 |a Article 
773 |t Physical Review Letters 

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