Question related to functional analysis












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I am interested in studying functional analysis and I am wondering what sort of practical applications the field has and what, if any, career paths might require functional analysis. Thank you!










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    I am interested in studying functional analysis and I am wondering what sort of practical applications the field has and what, if any, career paths might require functional analysis. Thank you!










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      I am interested in studying functional analysis and I am wondering what sort of practical applications the field has and what, if any, career paths might require functional analysis. Thank you!










      share|cite|improve this question













      I am interested in studying functional analysis and I am wondering what sort of practical applications the field has and what, if any, career paths might require functional analysis. Thank you!







      functional-analysis






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      asked Nov 20 at 14:44









      D.M.

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          Welcome to MSE! Hilbert spaces are a vital part of functional analysis which in turn are the basis of quantum mechanics and quantum computing.






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            Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
            – supinf
            Nov 20 at 15:06










          • Right. At least you have unitary transformations.
            – Wuestenfux
            Nov 20 at 15:25











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          Welcome to MSE! Hilbert spaces are a vital part of functional analysis which in turn are the basis of quantum mechanics and quantum computing.






          share|cite|improve this answer

















          • 1




            Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
            – supinf
            Nov 20 at 15:06










          • Right. At least you have unitary transformations.
            – Wuestenfux
            Nov 20 at 15:25
















          1














          Welcome to MSE! Hilbert spaces are a vital part of functional analysis which in turn are the basis of quantum mechanics and quantum computing.






          share|cite|improve this answer

















          • 1




            Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
            – supinf
            Nov 20 at 15:06










          • Right. At least you have unitary transformations.
            – Wuestenfux
            Nov 20 at 15:25














          1












          1








          1






          Welcome to MSE! Hilbert spaces are a vital part of functional analysis which in turn are the basis of quantum mechanics and quantum computing.






          share|cite|improve this answer












          Welcome to MSE! Hilbert spaces are a vital part of functional analysis which in turn are the basis of quantum mechanics and quantum computing.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Nov 20 at 15:00









          Wuestenfux

          3,3211411




          3,3211411








          • 1




            Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
            – supinf
            Nov 20 at 15:06










          • Right. At least you have unitary transformations.
            – Wuestenfux
            Nov 20 at 15:25














          • 1




            Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
            – supinf
            Nov 20 at 15:06










          • Right. At least you have unitary transformations.
            – Wuestenfux
            Nov 20 at 15:25








          1




          1




          Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
          – supinf
          Nov 20 at 15:06




          Wouldn't finite dimensional Hilbert spaces be enough for quantum computing, since you only have a finite number of qbits? Then you could argue whether functional analysis is necessary for this case.
          – supinf
          Nov 20 at 15:06












          Right. At least you have unitary transformations.
          – Wuestenfux
          Nov 20 at 15:25




          Right. At least you have unitary transformations.
          – Wuestenfux
          Nov 20 at 15:25


















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