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1	HD⁺ Photodissociation in an Ultrashort Infrared Laser Pulse: Carrier-Envelope Phase Difference Effects
2	Motivation Could any asymmetry be observed in HD⁺photodissociation? How to treat dissociation processes in the presence of ionization? What kind of asymmetries might be expected?
3	Topics 3D model (1 nuclear+2 electron degrees of freedom) of the HD⁺ ion in a laser field Numerical solution of the time-dependent Schroedinger equation (TDSE) The HD⁺ ion in the field of intense (4× to 9×10¹⁴W/cm²) 10fs linearly polarized 790 nm laser pulse: calculation results Carrier-envelope phase effects observability for reaction probabilities Fragments' velocity distribution in scaled coordinate approach Carrier-envelope phase effects observability for fragments' velocity distributions
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5	Time-dependent Schroedinger equation
6	The time evolution Operator splitting
7	Single and double-scale approximants
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9	Channel separation: domains in the configuration space Different channels can be identified by the corresponding domains in the configuration space
10	Electron density distribution
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12	Laser phase averaged dissociation probabilities
13	Orientation averaged dissociation probabilities
14	The dissociation asymmetry observability
15	Scaled coordinates approach
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17	Scaled coordinates distribution converges to momentum distribution
18	Fragment velocity distribution CEPD variation
19	Orientation averaged fragment velocity distribution CEPD variation
20	CEPD effects for the fragments of fixed velocity
21	Summary Strong CEPD effects are expected for dissociation of the HD+ molecule in 10 fs 785 nm laser pulse Reaction asymmetries can be observed only if the laser CEPD is controlled, charged and neutral reaction fragments must be registered separately The effect is much stronger if fragment velocity selection is performed
22	Future What are the velocity distributions for ionization? How the initial state affects the results? How to improve the accuracy/perfomance?