LocalDateTime , ZonedDateTime and Timestamp

I have a SpringBoot app. using Spring Initializer, embedded Tomcat, Thymeleaf template engine, and package as an executable JAR file.

I have a domain object with 2 properties (initDate, endDate). I want to create 2 converters to deal with mySQL DB

@Convert(converter = LocalDateTimeAttributeConverter.class) 
private LocalDateTime initDate;

@Convert(converter = ZonedDateTimeAttributeConverter.class) 
private ZonedDateTime endDate;

the converter 1 (is OK)

@Converter
public class LocalDateTimeAttributeConverter implements AttributeConverter<LocalDateTime, Timestamp> {

    @Override
    public Timestamp convertToDatabaseColumn(LocalDateTime localDateTime) {
        return (localDateTime == null ? null : Timestamp.valueOf(localDateTime));
    }

    @Override
    public LocalDateTime convertToEntityAttribute(Timestamp sqlTimestamp) {
        return (sqlTimestamp == null ? null : sqlTimestamp.toLocalDateTime());
    }
}

This is the one that I want to create

@Converter
public class ZonedDateTimeAttributeConverter implements AttributeConverter<ZonedDateTime, Timestamp> {

    @Override
    public Timestamp convertToDatabaseColumn(ZonedDateTime zoneDateTime) {
        return (zoneDateTime == null ? null : Timestamp.valueOf(zoneDateTime));
    }


    @Override
    public ZonedDateTime convertToEntityAttribute(Timestamp sqlTimestamp) {
        return (sqlTimestamp == null ? null : sqlTimestamp.toZonedDateTime());
    }
}

But I can't because I have 2 errors:

The method valueOf(String) in the type Timestamp is not applicable for the arguments (ZonedDateTime)

and the TimeStamp does not have the method toZonedDateTime()

and if I don't add any converter for the ZonedDate, JPA creates a table with the type varbinary(255)