quantum mechanical problem
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On Operator Sum and Product Adjoints and Closures

2011 ◽  
Vol 54 (3) ◽  
pp. 456-463 ◽  
Author(s):  
Karl Gustafson
Keyword(s):  
Quantum Mechanical ◽  
Unbounded Operators ◽  
Mechanical Problem ◽  
Quantum Mechanical Problem ◽  
Unbounded Hamiltonians

AbstractWe comment on domain conditions that regulate when the adjoint of the sum or product of two unbounded operators is the sum or product of their adjoints, and related closure issues. The quantum mechanical problem PHP essentially selfadjoint for unbounded Hamiltonians is addressed, with new results.

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