Error:Could not resolve the entity from <apex:inputField> value binding '{!Product.Name}'. <apex:inputField> can only be used with SObjects, or objects that are Visualforce field component resolvable.

could any one please suggest some solution to this problem

VF code:

<apex:page controller="ProductSearchController" sidebar="false">
 
  <apex:form >
  <apex:pageMessages id="errors" />
 
  <apex:pageBlock title="Find Me A Product!" mode="edit">
 
  <table width="100%" border="0">
  <tr> 
    <td width="200" valign="top">
 
      <apex:pageBlock title="Parameters" mode="edit" id="criteria">
 
      <script type="text/javascript">
      function doSearch() {
        searchServer(
          document.getElementById("Name").value,
          document.getElementById("Code").value,
          );
      }
      </script>
 
      <apex:actionFunction name="searchServer" action="{!runSearch}" rerender="results,debug,errors">
          <apex:param name="Name" value="" />
          <apex:param name="Code" value="" />
                   
      </apex:actionFunction>
 
      <table cellpadding="2" cellspacing="2">
      <tr>
        <td style="font-weight:bold;">Name<br/>
        <input type="text" id="Name" onkeyup="doSearch();"/>
        </td>
      </tr>
      <tr>
        <td style="font-weight:bold;">Code<br/>
        <input type="text" id="Code" onkeyup="doSearch();"/>
        </td>
      </tr>
       </table>
 
      </apex:pageBlock>
      </td>
   
<td valign="top">
 
    <apex:pageBlock mode="edit" id="results">
 
        <apex:pageBlockTable value="{!Product2}" var="Product">
 
            <apex:column >
                <apex:facet name="header">
                    <apex:commandLink value="Name" action="{!toggleSort}" rerender="results,debug">
                        <apex:param name="sortField" value="Product.Name" assignTo="{!sortField}"/>
                    </apex:commandLink>
                </apex:facet>
                <apex:outputField/> value="{!Product.Name}"/>
            </apex:column>
 
            <apex:column >
                <apex:facet name="header">
                    <apex:commandLink value="Code" action="{!toggleSort}" rerender="results,debug">
                        <apex:param name="sortField" value="Product.Productcode" assignTo="{!sortField}"/>
                    </apex:commandLink>
                </apex:facet>
                <apex:outputField value="{!Product.ProductCode}"/>
            </apex:column>
 
          </apex:pageBlockTable>
       </apex:pageBlock>
 
    </td>
  </tr>
  </table>
 
  <apex:pageBlock title="Debug - SOQL" id="debug">
      <apex:outputText value="{!debugSoql}" />          
  </apex:pageBlock>   
 
  </apex:pageBlock>
 
  </apex:form>
 
</apex:page>     
   

ProductSearchController code:

public with sharing class ProductSearchController
    {
    public String getProduct() {
    return null;
    }
    public String Product2 { get; set; }
    // the soql without the order and limit
    private String soql {get;set;}
    // the collection of contacts to display
    public List<Product2> Products {get;set;}
    // the current sort direction. defaults to asc
    public String sortDir
    {
    get 
    {
        if (sortDir == null)
        { 
        sortDir = 'asc';
        }
    return sortDir;  }
    set;
    }
 
  // the current field to sort by. defaults to last name
    public String sortField
    {
    get 
    {
    if (sortField == null)
        {
        sortField = 'Name';
        }
         return sortField; 
      }
    set;
    }
 
  // format the soql for display on the visualforce page
  public String debugSoql {
    get { return soql + ' order by ' + sortField + ' ' + sortDir + ' limit 20'; }
    set;
  }
 
  // init the controller and display some sample data when the page loads
  public ProductSearchController() {
    soql = 'select name,productcode from Product2 where name != null';
    runQuery();
  }
 
  // toggles the sorting of query from asc<-->desc
  public void toggleSort()
  {
    // simply toggle the direction
    sortDir = sortDir.equals('asc') ? 'desc' : 'asc';
    // run the query again
    runQuery();
  }
 
  // runs the actual query
  public void runQuery()
  {
 
    try {
      Products = Database.query(soql + ' order by ' + sortField + ' ' + sortDir + ' limit 20');
    } catch (Exception e) {
      ApexPages.addMessage(new ApexPages.Message(ApexPages.Severity.ERROR, 'Ooops!'));
    }
 
  }
 
  // runs the search with parameters passed via Javascript
  public PageReference runSearch() {
 
    String Name = Apexpages.currentPage().getParameters().get('Name');
    String Code = Apexpages.currentPage().getParameters().get('Code');
    soql = 'select name,productcode from product2 where name != null';
    if (!Name.equals(''))
      soql += ' and product2.name LIKE \''+String.escapeSingleQuotes(Name)+'%\'';
    if (!code.equals(''))
      soql += ' and product2.productcode LIKE \''+String.escapeSingleQuotes(Code)+'%\'';
 // run the query again
    runQuery();
 
    return null;
  }
 
 
  }